629087 SzGeCERN 20160408035456.0 math.GT/0307218 eng math/0307218 Cattaneo, A S Algebraic structures on graph cohomology 2003 Roma Roma 1 16 Jul 2003 14 p We define algebraic structures on graph cohomology and prove that they correspond to algebraic structures on the cohomology of the spaces of imbeddings of S^1 or R into R^n. As a corollary, we deduce the existence of an infinite number of nontrivial cohomology classes in Imb(S^1,R^n) when n is even and greater than 3. Finally, we give a new interpretation of the anomaly term for the Vassiliev invariants in R^3. LANL EDS SzGeCERN Mathematical Physics and Mathematics PREPRINT LANL EDS 58D10 LANL EDS 81Q30 LANL EDS Geometric Topology LANL EDS math.GT Cotta-Ramusino, P Longoni, R Cattaneo, Alberto S. Cotta-Ramusino, Paolo Longoni, Riccardo http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=math.GT&id=0307218 Access to fulltext document longoni@mat.uniroma1.it n 200329 10 20071105 1441 CER01 20030717 PUBLIC 002386911CER PREPRINT Hidden 707885 SzGeCERN 20160401035709.0 cond-mat/0401467 eng Trasca, R A Adsorption of Xe and Ar on Quasicrystalline Al-Ni-Co 2004 23 Jan 2004 12 p An interaction potential energy between and adsorbate (Xe and Ar) and the 10-fold Al-Ni-Co quasicrystal is computed by summing over all adsorbate-substrate interatomic interactions. The quasicrystal atoms' coordinates are obtained from LEED experiments and the Lennard-Jones parameters of Xe-Al, Xe-Ni and Xe-Co are found using semiempirical combining rules. The resulting potential energy function of position is highly corrugated. Monolayer adsorption of Xe and Ar on the quasicrystal surface is investigated in two cases: 1) in the limit of low coverage (Henry's law regime), and 2) at somewhat larger coverage, when interactions between adatoms are considered through the second virial coefficient, C_{AAS}. A comparison with adsorption on a flat surface indicates that the corrugation enhances the effect on Xe-Xe (Ar-Ar) interactions. The theoretical results for the low coverage adsorption regime are compared to experimental (LEED isobar) data. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Materials Science LANL EDS Condensed Matter Ferralis, N Diehl, R D Cole, M W http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0401467 Access to fulltext document raluca@psu.edu n 200405 10 20060128 0005 CER01 20040126 PUBLIC 002422918CER PREPRINT Hidden 728809 SzGeCERN 20170222221854.0 oai:cds.cern.ch:728809 cerncds:FULLTEXT physics/0404014 eng Selvam, A M A General Systems Theory for the Observed Fractal Space-Time Fluctuations in Dynamical Systems 2004 2004 mult. p Recent studies of DNA sequence of letters A, C, G and T exhibit the inverse power law form frequency spectrum. Inverse power-law form of the power spectra of fractal space-time fluctuations is generic to the dynamical systems in nature and is identified as self-organized criticality. In this study it is shown that the power spectra of the frequency distributions of bases C+G in the Human chromosome X DNA exhibit self-organized criticality. DNA is a quasicrystal possessing maximum packing efficiency in a hierarchy of spirals or loops. Self-organized criticality implies that non-coding introns may not be redundant, but serve to organize the effective functioning of the coding exons in the DNA molecule as a complete unit. LANL EDS SzGeCERN Other Fields of Physics PREPRINT LANL EDS General Physics LANL EDS Physics http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=physics&id=0404014 Access to fulltext document http://cds.cern.ch/record/728809/files/0404014.pdf Access to fulltext document n 200415 11 20060527 0010 CER01 20040406 PUBLIC 002441556CER PREPRINT Hidden 734501 SzGeCERN 20160323123157.0 math-ph/0405027 eng Cotfas, N Model sets with predefined local structure 2004 2004 mult. p Model sets play a fundamental role in structure analysis of quasicrystals. The diffraction diagram of a quasicrystal admits as symmetry group a finite group G, and there is a G-cluster C (union of orbits of G) such that the quasicrystal can be regarded as a quasiperiodic packing of interpenetrating copies of C. We present an algorithm which leads from any G-cluster C directly to a multi-component model set Q such that the arithmetic neighbours of any point x belonging to Q are distributed on the sites of the translated copy x+C of C. Our mathematical algorithm may be useful in quasicrystal physics. LANL EDS SzGeCERN Mathematical Physics and Mathematics PREPRINT LANL EDS 52C23 LANL EDS Mathematical Physics LANL EDS Mathematics Cotfas, Nicolae http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=math-ph&id=0405027 Access to fulltext document n 200420 10 20060527 0009 CER01 20040511 PUBLIC 002446666CER PREPRINT Hidden 735494 SzGeCERN 20160401044033.0 cond-mat/0405332 eng Widom, M First-principles prediction of a decagonal quasicrystal containing boron 2004 2004 mult. p We interpret experimentally known B-Mg-Ru crystals as quasicrystal approximants. These approximant structures imply a deterministic decoration of tiles by atoms that can be extended quasiperiodically. Experimentally observed structural disorder corresponds to phason (tile flip) fluctuations. First-principles total energy calculations reveal that many distinct tilings lie close to stability at low temperatures. Transfer matrix calculations based on these energies suggest a phase transition from a crystalline state at low temperatures to a high temperature state characterized by tile fluctuations. We predict B$_{38}$Mg$_{17}$Ru$_{45}$ forms a decagonal quasicrystal that is metastable at low temperatures and may be thermodynamically stable at high temperatures. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Materials Science LANL EDS Condensed Matter http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0405332 Access to fulltext document n 200421 10 20060527 0009 CER01 20040518 PUBLIC 002447607CER PREPRINT Hidden 738309 SzGeCERN 20160401044048.0 cond-mat/0405649 eng Duval, E Nature of the low-energy optical modes in icosahedral quasicrystals 2004 2004 mult. p The nearly dispersionless, so-called ``optical'' vibrational modes observed by inelastic neutron scattering from icosahedral Al-Pd-Mn and Zn-Mg-Y quasicrystals are interpreted as modes of a continuum elastic sphere that has the same diameter as the corresponding icosahedral nanoclusters. When the sphere is considered as free, most of the experimentally found modes can be accounted for, in both systems. Taking into account the mechanical connection between the clusters and the remainder of the quasicrystal allows a complete assignment of all optical modes in the case of Al-Pd-Mn. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Materials Science LANL EDS Condensed Matter Saviot, L Mermet, A Murray, D B De Boissieu, M http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0405649 Access to fulltext document n 200422 10 20060527 0008 CER01 20040528 PUBLIC 002450216CER PREPRINT Hidden 741777 SzGeCERN eng Skibinsky, A Modeling Liquid-liquid Phase Transitions And Quasicrystal Formation sine loco Boston Univ. 2003 147 p Not held by the CERN library PhD Boston Univ. 2003 In this thesis, studies which concern two different subjects related to phase transitions in fluids and crystalline solids are presented. Condensed matter formation, structure, and phase transitions are modeled using molecular dynamics simulations of simple discontinuous potentials with attractive and repulsive interactions. Novel phase diagrams are proposed for quasicrystals, crystals, and liquids. In the first part of the thesis, the formation of a quasicrystal in a two dimensional monodisperse system is investigated using molecular dynamics simulations of hard sphere particles interacting via a two-dimensional square-well potential. It is found that for certain values of the square-well parameters more than one stable crystalline phase can form. By quenching the liquid phase at a very low temperature, an amorphous phase is obtained. When this the amorphous phase is heated, a quasicrystalline structure with five-fold symmetry forms. From estimations of the Helmholtz potentials of the stable crystalline phases and of the quasicrystal, it is concluded that within a specific temperature range, the observed quasicrystal phase can be the stable phase. The second part of the thesis concerns a study of the liquid-liquid phase transition for a single-component system in three dimensions, interacting via an isotropic potential with a repulsive soft-core shoulder at short distance and an attractive well at an intermediate distance. The potential is similar to potentials used to describe such liquid systems as colloids, protein solutions, or liquid metals. It is shown that the phase diagram for such a potential can have two lines of first- order fluid-fluid phase transitions: one separating a gas and a low-density liquid (LDL), and another between the LDL and a high-density liquid (HDL). Both phase transition lines end in a critical point, a gas-LDL critical point and, depending on the potential parameters, either a gas-HDL critical point or a LDL-HDL critical point. A systematic study through varying potential parameters is carried out to determine the influence of attractive and repulsive interactions on the formation and stability of the liquid-liquid phase transitions and the two fluid critical points. No hints of the density anomaly are found, suggesting that the absence of the density anomaly, such as the one found in water, is independent of the choice of the parameters and that the liquid-liquid phase transition and density anomaly are not directly related. SIS PROQUEST2004 SzGeCERN Condensed Matter THESIS PROQUEST Physics, Condensed Matter (0611); Chemistry, Physical (0494) Stanley, H E dir. n 200425 29 20070324 0009 CER01 20040614 PUBLIC 002453314CER DUMMY THESIS 773459 SzGeCERN 20190328162436.0 INIS 34011578 jpn Hayashi, K Advanced in X-ray fluorescence holography 2002 X-ray fluorescence holography (XFH) can resolve 'phase problem' in crystal diffraction and therefore it provides 3D atomic images around specific elements. Since first demonstration of the XFH in 1996, view of atoms has been improved rapidly with the refinement of the hologram data collection method. The present performance of the XFH makes it possible to apply to impurity, thin film and quasicrystal, and opens a way to practical tool for determination of local structure. In this paper, theory including solutions for twin image problem, advanced experimental systems and application to Si sub 0 sub . sub 9 sub 9 sub 9 Ge sub 0 sub . sub 0 sub 0 sub 1 are discussed. (author) SIS INIS2004 SzGeCERN Condensed Matter ARTICLE INIS Condensed matter physics, superconductivity and superfluidity INIS atoms- INIS crystal-lattices INIS holography- INIS interference- INIS phase-transformations INIS radiation-scattering-analysis INIS synchrotron-radiation INIS transmission- INIS x-ray-fluorescence-analysis INIS bremsstrahlung- INIS chemical-analysis INIS crystal-structure INIS electromagnetic-radiation INIS nondestructive-analysis INIS radiations- INIS x-ray-emission-analysis 267-275 5 Hoshako 15 2002 n 200428 13 20051027 1934 CER01 20040713 PUBLIC 002464044CER ARTICLE hidden 774790 SzGeCERN 20190328162408.0 INIS 34024456 eng Parshin, P P Atomic-partial vibrational density of states of i-AlCuFe quasicrystals 2002 We present new results on the separation of the atomic-partial vibrational density of states for the ternary quasicrystal i-Al sub 6 sub 2 Cu sub 2 sub 5 sub . sub 5 Fe sub 1 sub 2 sub . sub 5. The decomposition into three atomic-partial functions, Al-, Cu- and Fe-g(E), has been performed self-consistently with the calculation of the multi-phonon contributions. The results show the surprising result that both Cu- and Fe-g(E) are strongly peaked. The low-energy regions of Al- and Cu-g(E) show strong deviations from Debye behaviour due to the presence of non-propagating low-energy vibrational states. (orig.) SIS INIS2004 SzGeCERN Condensed Matter ARTICLE INIS Condensed matter physics, superconductivity and superfluidity INIS aluminium-alloys INIS atoms- INIS copper-alloys INIS energy-level-density INIS iron-alloys INIS lattice-vibrations INIS phonons- INIS vibrational-states INIS alloys- INIS energy-levels INIS excited-states INIS quasi-particles INIS transition-element-alloys Zemlyanov, M Brand, R A Dianoux, A J Calvayrac, Y s1657-s1659 1 Appl. Phys. A 74 2002 n 200428 13 20060826 0005 CER01 20040714 PUBLIC 002465353CER ARTICLE hidden 783587 SzGeCERN 20190328161031.0 INIS 34046616 rus Aksenov, V L EXAFS-spectroscopy on synchrotron radiation beam EXAFS-spectroskopiya na puchkakh sinkhrotronnogo izlucheniya 2001 In the review the basis theoretical principles of EXAFS spectroscopy are given, as one of principal directions of an absorption spectroscopy permitting with a high accuracy to gain parameters of the short-range order in multicomponent amorphous and quasi-crystal mediums. The methods of the analysis of EXAFS spectra with allowance of effects of multiply scattering are featured. The exposition of the experimental set-ups, which realize the method of EXAFS spectroscopy on beams of SR, requirement of the monochromatization of radiation beams are given. For investigation of phase transition and external effects the energy-dispersive EXAFS spectrometer is creating at the National center of SR Kurchatov Institute which can measure the EXAFS spectrum with a time resolution 3-5 ms. The experimental results on investigation (by the EXAFS spectroscopy method) of oxides of tungsten and molybdenum are given, which have unique property: the variable valence of an ion of metal is depending on external action. The most interesting of structural problems in the field of physics fullerides, successfully solved with the help of EXAFS spectroscopy, is the spatial location of metal atoms depending on temperature SIS INIS2004 EXAFS-spectroscopy on synchrotron radiation beam SzGeCERN Condensed Matter ARTICLE INIS Condensed matter physics, superconductivity and superfluidity INIS absorption-spectroscopy INIS fine-structure INIS flowsheets- INIS molybdenum-oxides INIS multiple-scattering INIS synchrotron-radiation INIS tungsten-oxides INIS x-ray-spectroscopy INIS bremsstrahlung- INIS chalcogenides- INIS diagrams- INIS electromagnetic-radiation INIS information- INIS molybdenum-compounds INIS oxides- INIS oxygen-compounds INIS radiations- INIS refractory-metal-compounds INIS scattering- INIS spectroscopy- INIS transition-element-compounds INIS tungsten-compounds Tyutyunnikov, S I Kuzmin, A Y Purans, Y 1299-1358 6 Fiz. Elem. Chastits At. Yadra 32 2001 n 200431 13 20080110 1440 CER01 20040730 PUBLIC 002473915CER ARTICLE hidden 784525 SzGeCERN 20170222221926.0 oai:cds.cern.ch:784525 cerncds:FULLTEXT physics/0407151 eng Broderick, N Harmonic generation in a two dimensional nonlinear quasicrystal 2004 2004 mult. p Second harmonic generation in a two dimensional nonlinear quasi-crystal is demonstrated for the first time. Temperature and wavelength tuning of the crystal reveal the uniformity of the pattern while angle tuning reveals the dense nature of the crystal's Fourier spectrum. These results compare well with theoretical predictions showing the excellent uniformity of the crystal and suggest that more complicated ``nonlinear holograms'' should be possible. LANL EDS Submitted to optics letters on the 30th of July 2004 SzGeCERN Other Fields of Physics PREPRINT LANL EDS Optics LANL EDS Physics Peacock, A Gallo, K Lewen, R Bratfalean, R Broderick, Neil Peacock, Anna Gallo, Katia Lewen, Ruth Bratfalean, Radu Opt. Lett. http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=physics&id=0407151 Access to fulltext document http://cds.cern.ch/record/784525/files/0407151.pdf Access to fulltext document n 200432 11 20060527 0006 CER01 20040802 PUBLIC 002474852CER PREPRINT Hidden 795591 SzGeCERN 20160401044307.0 cond-mat/0409711 eng Jagannathan, A Ground state of a two dimensional quasiperiodic antiferromagnet 2004 28 Sep 2004 15 p We consider the spin 1/2 Heisenberg antiferromagnet on a two dimensional quasiperiodic tiling. The T=0 state is long range ordered, with an inhomogeneous distribution of the staggered moment. An approximate real space renormalization scheme first developed for the square lattice is generalized and used to obtain information on the ground state energy as well as the distribution of local correlations in the quasicrystal. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Strongly Correlated Electrons LANL EDS Condensed Matter http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0409711 Access to fulltext document n 200440 10 20060128 0015 CER01 20040929 PUBLIC 002485241CER PREPRINT Hidden 799741 SzGeCERN 20160401044339.0 cond-mat/0410534 eng Bruehne, S The local atomic quasicrystal structure of the icosahedral Mg25Y11Zn64 alloy 2005 21 Oct 2004 12 p A local and medium range atomic structure model for the face centred icosahedral (fci) Mg25Y11Zn64 alloy has been established in a sphere of r = 27 A. The model was refined by least squares techniques using the atomic pair distribution (PDF) function obtained from synchrotron powder diffraction. Three hierarchies of the atomic arrangement can be found: (i) five types of local coordination polyhedra for the single atoms, four of which are of Frank-Kasper type. In turn, they (ii) form a three-shell (Bergman) cluster containing 104 atoms, which is condensed sharing its outer shell with its neighbouring clusters and (iii) a cluster connecting scheme corresponding to a three-dimensional tiling leaving space for few glue atoms. Inside adjacent clusters, Y8-cubes are tilted with respect to each other and thus allow for overall icosahedral symmetry. It is shown that the title compound is essentially isomorphic to its holmium analogue. Therefore fci-Mg-Y-Zn can be seen as the representative structure type for the other rare earth analogues fci-Mg-Zn-RE (RE = Dy, Er, Ho, Tb) reported in the literature. LANL EDS SIS LANLPUBL2005 SIS:2005 PR/LKR added SzGeCERN Condensed Matter ARTICLE LANL EDS Materials Science LANL EDS Condensed Matter Uhrig, E Gross, C Assmus, W Masadeh, A S Billinge, S J L 1561-1572 J. Phys.: Condens. Matter 17 2005 http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0410534 Access to fulltext document n 200443 13 20060818 2033 CER01 20041022 PUBLIC 002488912CER ARTICLE Hidden 800080 SzGeCERN 20160401044343.0 cond-mat/0410180 eng Wessel, S Quantum Fluctuations and Excitations in Antiferromagnetic Quasicrystals 2004 7 Oct 2004 12 p We study the effects of quantum fluctuations and the excitation spectrum for the antiferromagnetic Heisenberg model on a two-dimensional quasicrystal, by numerically solving linear spin-wave theory on finite approximants of the octagonal tiling. Previous quantum Monte Carlo results for the distribution of local staggered magnetic moments and the static spin structure factor are reproduced well within this approximate scheme. Furthermore, the magnetic excitation spectrum consists of magnon-like low-energy modes, as well as dispersionless high-energy states of multifractal nature. The dynamical spin structure factor, accessible to inelastic neutron scattering, exhibits linear-soft modes at low energies, self-similar structures with bifurcations emerging at intermediate energies, and flat bands in high-energy regions. We find that the distribution of local staggered moments stemming from the inhomogeneity of the quasiperiodic structure leads to a characteristic energy spread in the local dynamical spin susceptibility, implying distinct nuclear magnetic resonance spectra, specific for different local environments. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Strongly Correlated Electrons LANL EDS Condensed Matter Milat, I Wessel, Stefan Milat, Igor http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0410180 Access to fulltext document n 200441 10 20060128 0016 CER01 20041008 PUBLIC 002486900CER PREPRINT Hidden 809508 SzGeCERN 20160401044449.0 cond-mat/0412162 eng Lifshitz, R Photonic quasicrystals for general purpose nonlinear optical frequency conversion 2004 7 Dec 2004 mult. p We present a general method for the design of 2-dimensional nonlinear photonic quasicrystals that can be utilized for the simultaneous phase-matching of arbitrary optical frequency-conversion processes. The proposed scheme--based on the generalized dual-grid method that is used for constructing tiling models of quasicrystals--gives complete design flexibility, removing any constraints imposed by previous approaches. As an example we demonstrate the design of a color fan--a nonlinear photonic quasicrystal whose input is a single wave at frequency $\omega$ and whose output consists of the second, third, and fourth harmonics of $\omega$, each in a different spatial direction. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Materials Science LANL EDS Condensed Matter Arie, A Bahabad, A Lifshitz, Ron Arie, Ady Bahabad, Alon http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0412162 Access to fulltext document n 200450 10 20060131 1934 CER01 20041208 PUBLIC 002497896CER PREPRINT Hidden 819164 SzGeCERN 20160401044604.0 cond-mat/0501733 eng Ng, J Photonic Clusters 2005 31 Jan 2005 4 p We show through rigorous calculations that dielectric microspheres can be organized by an incident electromagnetic plane wave into stable cluster configurations, which we call photonic molecules. The long-range optical binding force arises from multiple scattering between the spheres. A photonic molecule can exhibit a multiplicity of distinct geometries, including quasicrystal-like configurations, with exotic dynamics. Linear stability analysis and dynamical simulations show that the equilibrium configurations can correspond with either stable or a type of quasi-stable states exhibiting periodic particle motion in the presence of frictional dissipation. LANL EDS SIS LANLPUBL2006 SIS:2006 PR/LKR added SzGeCERN Condensed Matter ARTICLE LANL EDS Mesoscopic Systems and Quantum Hall Effect LANL EDS Condensed Matter Lin, Z Chan, C T Sheng, P Ng, Jack Lin, Zhifang Sheng, Ping 085130 Phys. Rev. B 72 2005 http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0501733 Access to fulltext document n 200505 13 20060812 0009 CER01 20050201 PUBLIC 002506460CER ARTICLE Hidden 820180 SzGeCERN 20160401044622.0 cond-mat/0402371 eng Mihalkovic, M Quasicrystal approximants with novel compositions and structures 2004 13 Feb 2004 6 p We identify several new quasicrystal approximants in alloy systems in which quasicrystals have not been previously reported. Some occur in alloys with large size contrast between the constituent elements, either containing small Boron atoms, or large Ca/Eu atoms, leading to quasicrystal structures quite different from currently known systems where the size contrast is smaller. Another group of the approximants are layered Frank--Kasper structures, demonstrating competition between decagonal and dodecagonal ordering within this family of structures. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Materials Science LANL EDS Condensed Matter Widom, M http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0402371 Access to fulltext document mihalkovic@savba.sk n 200505 10 20060131 1933 CER01 20050203 PUBLIC 002507406CER PREPRINT Hidden 823860 SzGeCERN 20160401044653.0 cond-mat/0502466 eng Curtarolo, S Evolution of topological order in Xe films on a quasicrystal surface 2005 18 Feb 2005 mult. p We report results of the first computer simulation studies of a physically adsorbed gas on a quasicrystalline surface, Xe on decagonal Al-Ni-Co. The grand canonical Monte Carlo method is employed, using a semi-empirical gas-surface interaction, based on conventional combining rules, and the usual Lennard-Jones Xe-Xe interaction. The resulting adsorption isotherms and calculated structures are consistent with the results of LEED experimental data. The evolution of the bulk film begins in the second layer, while the low coverage behavior is epitaxial. This transition from 5-fold to 6-fold ordering is temperature dependent, occurring earlier (at lower coverage) for the higher temperatures. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Materials Science LANL EDS Other LANL EDS Condensed Matter Setyawan, W Ferralis, N Diehl, R D Cole, M W Curtarolo, Stefano Setyawan, Wahyu Ferralis, Nicola Diehl, Renee D. Cole, Milton W. http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0502466 Access to fulltext document n 200508 10 20060121 0007 CER01 20050221 PUBLIC 002510910CER PREPRINT Hidden 824364 SzGeCERN 20160401044657.0 cond-mat/0502529 eng Sánchez-Palencia, L Bose-Einstein Condensates in Optical Quasicrystal Lattices 2005 22 Feb 2005 We analyze the physics of Bose-Einstein condensates confined in quasi-periodic optical lattices (optical quasicrystals), which offer an intermediate situation between ordered and disordered systems. First, we analyze the time-of-flight interference pattern that reveals quasi-periodic long-range order. Second, we demonstrate localization effects associated with quasi-disorder as well as Bloch-like oscillations associated with the extended nature of the wavefunction of a Bose-Einstein condensate in an optical quasicrystal. In addition, we discuss in detail the crossover between diffusive and localized regimes when the quasi-periodic potential is switched on, as well as the effects of interactions. LANL EDS SIS LANLPUBL2006 SIS:2006 PR/LKR added SzGeCERN Condensed Matter ARTICLE LANL EDS Other LANL EDS Condensed Matter Santos, L Sanchez-Palencia, Laurent Santos, Luis 053607 Phys. Rev. A 72 2005 http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0502529 Access to fulltext document INSTITUT F\"{U}R Theoretische Physik III LCFIO, Institut F\"{U}R Theoretische Physik n 200508 13 20061202 0007 CER01 20050223 PUBLIC 002511397CER ARTICLE Hidden 827167 SzGeCERN 20160401044718.0 cond-mat/0503286 eng Shi, Y Structural transformation and localization during simulated nanoindentation of a non-crystalline metal film 2005 11 Mar 2005 13 p A simulation study demonstrates that localization can arise as the result of the breakdown of stable quasi-crystal-like atomic configurations. Samples produced at elevated quench rates and via more energetic processes contain a lower fraction of such configurations and exhibit significantly less pronounced localization and shorter spacing between bands. In the samples produced by the lowest quench rates localization is accompanied by the amorphization of material with initially quasi-crystal-like medium range order. This result is of particular significance in light of recent experimental evidence of local quasi-crystal order in the most stable of the bulk metallic glasses. LANL EDS SzGeCERN Condensed Matter ARTICLE LANL EDS Materials Science LANL EDS Condensed Matter Falk, M L Shi, Yunfeng Falk, Michael L. 011914 1 Appl. Phys. Lett. 86 2005 http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0503286 Access to fulltext document n 200511 13 20060415 0009 CER01 20050314 PUBLIC 002513968CER ARTICLE Hidden 836368 SzGeCERN 20160401044814.0 cond-mat/0505452 eng Barbier, L M Steps and terraces at quasicrystal surfaces. Application of the 6d-polyhedral model to the analysis of STM images of i-AlPdMn 2005 18 May 2005 mult. p 6-d polyhedral models give a periodic description of aperiodic quasicrystals. There are powerful tools to describe their structural surface properties. Basis of the model for icosahedral quasicrystals are given. This description is further used to interpret high resolution STM images of the surface of i-AlPdMn which surface preparation was followed by He diffraction. It is found that both terrace structure and step-terrace height profiles in STM images can be consistently interpreted by the described model. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Materials Science LANL EDS Condensed Matter Gratias, D http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0505452 Access to fulltext document n 200520 10 20070619 1627 CER01 20050519 PUBLIC 002522232CER PREPRINT Hidden 839721 SzGeCERN 20160408091647.0 math.DS/0506054 eng math/0506054 Sadun, L Tilings, tiling spaces and topology 2005 2 Jun 2005 8 p To understand an aperiodic tiling (or a quasicrystal modeled on an aperiodic tiling), we construct a space of similar tilings, on which the group of translations acts naturally. This space is then an (abstract) dynamical system. Dynamical properties of the space (such as mixing, or the spectrum of the translation operator) are closely related to bulk properties of the individual tilings (such as the diffraction pattern). The topology of the space of tilings, particularly the Cech cohomology, gives information on how the original tiling can be deformed. Tiling spaces can be constructed as inverse limits of branched manifolds. LANL EDS SzGeCERN Mathematical Physics and Mathematics PREPRINT LANL EDS 37B50 LANL EDS 52C23 LANL EDS Dynamical Systems LANL EDS Metric Geometry LANL EDS Mathematical Physics LANL EDS math.DS Sadun, Lorenzo http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=math.DS&id=0506054 Access to fulltext document n 200523 10 20060121 0010 CER01 20050606 PUBLIC 002525379CER PREPRINT Hidden 843936 SzGeCERN 20160401044853.0 cond-mat/0506381 eng Boyer, D Modeling grain boundaries in solids using a combined nonlinear and geometrical method 2005 15 Jun 2005 10 p The complex arrangements of atoms near a grain boundary are difficult to describe theoretically. We propose a phenomenological (Ginzburg-Landau-like) description of crystalline phases based on symmetries and some fairly general energy and stability arguments. This method allows a very detailed description of defects at the lattice scale with virtually no tunning parameters, unlike usual phase-field methods. The model equations are directly inspired from those used in a very different physical context, namely, the formation of periodic patterns in systems out-of-equilibrium ({\it e.g.} Rayleigh-B\'enard convection, Turing patterns).We apply the formalism to symmetric tilt boundaries in two-dimensional crystalline patterns. Our results are in quantitative agreement with those predicted by a recent crystallographic theory of grain boundaries based on a geometrical quasicrystal-like construction. These results suggest that frustration and competition effects near a defect in crystalline arrangements have some universal features, of interest in solids or other periodic phases. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Materials Science LANL EDS Soft Condensed Matter LANL EDS Condensed Matter Romeu, D Boyer, Denis Romeu, David http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0506381 Access to fulltext document n 200524 10 20050627 1415 CER01 20050616 PUBLIC 002527477CER PREPRINT Hidden 850216 SzGeCERN 20160401044913.0 cond-mat/0412720 eng Sen-Gupta, S Wave propagation in a quasi-periodic waveguide network 2004 28 Dec 2004 15 p We investigate the transport properties of a classical wave propagating through a quasi-periodic Fibonacci array of waveguide segments in the form of loops. The formulation is general, and applicable for electromagnetic or acoustic waves through such structures. We examine the conditions for resonant transmission in a Fibonacci waveguide structure. The local positional correlation between the loops are found to be responsible for the resonance. We also show that, depending on the number of segments attached to a particular loop, the intensity at the nodes displays a perfectly periodic or a self-similar pattern. The former pattern corresponds to a perfectly extended mode of propagation, which is to be contrasted to the electron or phonon characteristics of a pure one dimensional Fibonacci quasi-crystal. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Disordered Systems and Neural Networks LANL EDS Condensed Matter Chakrabarti, A Sengupta, Sheelan Chakrabarti, Arunava http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0412720 Access to fulltext document sheelan@klyuniv.ernet.in n 200527 10 20060624 0007 CER01 20050705 PUBLIC 002533493CER PREPRINT Hidden 850930 SzGeCERN 20160401044942.0 cond-mat/0504401 eng Salerno, M Quasi-crystal structures of Bose-Einstein condensates 2005 18 Apr 2005 mult. p Quasi-crystal structures of Bose-Einstein condensates which correspond to a Penrose tiling of the plane are discussed. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Other LANL EDS Condensed Matter Salerno, Mario http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0504401 Access to fulltext document salerno@sa.infn.it n 200527 10 20060624 0007 CER01 20050706 PUBLIC 002534180CER PREPRINT Hidden 849493 SzGeCERN 20160323124512.0 math-ph/0504079 eng Cotfas, N Algorithm for Generating Quasiperiodic Packings of Multi-Shell Clusters 2005 27 Apr 2005 mult. p Many of the mathematical models used in quasicrystal physics are based on tilings of the plane or space obtained by using strip projection method in a superspace of dimension four, five or six. We present some mathematical results which allow one to use this very elegant method in spaces of dimension much higher and to generate directly quasiperiodic packings of multi-shell clusters. We show that in the case of a two-dimensional (resp. three-dimensional) cluster we have to compute only determinants of order three (resp. four), independently of the dimension of the superspace we use. The computer program based on our mathematical results is very efficient. For example, we can easily generate quasiperiodic packings of three-shell icosahedral clusters (icosahedron + dodecahedron + icosidodecahedron) by using strip projection method in a 31-dimensional space (hundreds of points are obtained in a few minutes on a personal computer). LANL EDS SzGeCERN Mathematical Physics and Mathematics PREPRINT LANL EDS 52C23 LANL EDS Mathematical Physics LANL EDS Materials Science LANL EDS Computational Physics LANL EDS Mathematics Cotfas, Nicolae http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=math-ph&id=0504079 Access to fulltext document ncotfas@yahoo.com n 200527 10 20060624 0007 CER01 20050704 PUBLIC 002532828CER PREPRINT Hidden 849504 SzGeCERN 20160323124512.0 math-ph/0505005 eng Cotfas, N Quasiperiodic packings of multi-shell clusters obtained by projection 2005 3 May 2005 mult. p Many of the mathematical models used in quasicrystal physics are based on tilings of the plane or space obtained by using strip projection method in a superspace of dimension four, five or six. We present some mathematical results which allow one to use this very elegant method in superspaces of dimension much higher and to generate directly quasiperiodic packings of multi-shell clusters. The computer program based on our mathematical results is very efficient. For example, we can easily generate quasiperiodic packings of three-shell icosahedral clusters (icosahedron + dodecahedron + icosidodecahedron) by using strip projection method in a 31-dimensional superspace. LANL EDS SzGeCERN Mathematical Physics and Mathematics PREPRINT LANL EDS 52C23 LANL EDS Mathematical Physics LANL EDS Materials Science LANL EDS Computational Physics LANL EDS Mathematics Cotfas, Nicolae http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=math-ph&id=0505005 Access to fulltext document ncotfas@yahoo.com n 200527 10 20060624 0007 CER01 20050704 PUBLIC 002532839CER PREPRINT Hidden 850681 SzGeCERN 20160401044930.0 cond-mat/0507117 eng Au-Yang, H Overlapping Unit Cells in 3d Quasicrystal Structure 2005 5 Jul 2005 10 p A 3-dimensional quasiperiodic lattice with overlapping unit cells is constructed using grid and projection methods pioneered by de Bruijn. Using Kronecker's theorem the frequencies of all possible types of overlapping are found. Comments are welcome. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Other LANL EDS Condensed Matter Perk, J H H Au-Yang, Helen Perk, Jacques H.H. http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0507117 Access to fulltext document Oklahoma State University n 200527 10 20060624 0007 CER01 20050706 PUBLIC 002533931CER PREPRINT Hidden 851437 SzGeCERN 20160401044956.0 cond-mat/0504713 eng Nguyen-Thi, H Probing the dynamics of quasicrystal growth using synchrotron live imaging 2005 27 Apr 2005 mult. p Quasicrystals constitute a distinct class of solids as they differ both from crystals, because they are not periodic, and from glasses, because they have long-range orientation order. The main challenge of quasicrystal physics is certainly to elucidate how the quasiperiodic order can extend up to the centimetre size of the single grains routinely grown nowadays. In particular, the dynamics of quasicrystal growth remains an unsolved problem in condensed matter. Here, owing to the incisiveness of synchrotron live imaging, we show evidences that the solidification front of icosahedral AlPdMn quasicrystal is facetted all along the growth which proceeds by the tangential motion of ledges at the solid-melt interface, with a measurable effect of interface kinetics. Increasing the applied solidification rate, the kinetic undercooling becomes large enough for the nucleation and free growth of new facetted grains in the melt. The evolution of these grains is explained in details, which reveals the crucial role of aluminium rejection, both in the poisoning of grain growth and driving fluid flow. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Materials Science LANL EDS Condensed Matter Gastaldi, J Schenk, T Reinhart, G Mangelinck-Noel, N Cristiglio, V Billia, B Grushko, B H"artwig, J Klein, H Baruchel, J Nguyen-Thi, Henri Gastaldi, Joseph Schenk, Thomas Reinhart, Guillaume Mangelinck-Noel, Nathalie Cristiglio, Viviana Billia, Bernard Grushko, Benjamin Klein, Holger Baruchel, Jose http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0504713 Access to fulltext document bernard.billia@L2MP.fr CRMCN ESRF IFF LC n 200527 10 20060624 0007 CER01 20050707 PUBLIC 002534629CER PREPRINT Hidden 860716 SzGeCERN 20160323124348.0 SPIRES 6305784 Inspire 689098 math-ph/0507072 eng Fairlie, D B Lie algebras associated with one-dimensional aperiodic point sets 2005 29 Jul 2005 13 p The set of points of a one-dimensional cut-and-project quasicrystal or model set, while not additive, is shown to be multiplicative for appropriate choices of acceptance windows. This leads to the definition of an associative additive graded composition law and permits the introduction of Lie algebras over such aperiodic point sets. These infinite dimensional Lie algebras are shown to be representatives of a new type of semi-direct product induced Lie algebras. LANL EDS SzGeCERN Mathematical Physics and Mathematics PREPRINT LANL EDS Mathematical Physics LANL EDS Mathematics Twarock, R Zachos, C K Fairlie, David B. Twarock, Reidun Zachos, Cosmas K. http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=math-ph&id=0507072 Access to fulltext document n 200531 10 20100416 0805 CER01 20050801 PUBLIC 002543622CER PREPRINT Hidden 872886 SzGeCERN eng Huett, V T The Formation, Structure, And Hydrogen Storage Properties Of Titanium/zironcium/hafnium Based Quasicrystals And Related Phases sine loco Washington Univ. 2004 225 p Not held by the CERN library Presented on 2004 PhD Washington Univ. 2004 Previous studies of hydrogen storage in Ti-Zr-Ni quasicrystals are reviewed and expanded. Based on the new results presented in this thesis hydrogen may be used as a probe of local structure if elastic and electronic interactions of the hydrogen atom with the lattice and other hydrogen atoms in the lattice are better understood. As-cast and as-quenched phases found in the Ti-Hf-Ni ternary system are surveyed. A high order (3/2) rational approximant to the quasicrystal and a metallic glass were some of the phases found in the as-quenched survey. These two phases were further studied showing that the 3/2 rational approximant is metastable, transforming to a stable Ti₂Ni-type phase upon heating. The metallic glass found in this system has a 65&deg;C separation between the glass transition and the first crystallization event to a nano-domained icosahedrally ordered phase. Hydrogenation studies of the 3/2 rational approximant and the metallic glass in Ti-Hf-Ni were also performed. These studies show that the structures around the hydrogen atoms are similar in both phases. The structures are also similar to the Ti-Zr-Ni quasicrystals. Other hydrogen storage methods were explored. Mechanically alloyed Ti-Zr-Ni quasicrystals and metallic glasses have a potential to be used as hydrogen storage materials. These mechanically alloyed phases do not need to have their surfaces prepared or activated for hydrogenation to occur, and show little formation of the irreversible hydride phase. Pressure composition isotherms at higher pressures than have been performed before on these alloys were examined. This required a new high-pressure Sievart's type apparatus to be built. The initial results from pressure composition isotherm measurements show that there is another pressure plateau, above the one previously found at low pressures. This higher pressure plateau is a region of pressure and temperature suitable for hydrogen storage applications. SIS PROQUEST2005 SzGeCERN Condensed Matter THESIS PROQUEST Physics, Condensed Matter (0611) Kelton, K F dir. n 200532 29 20070324 0008 CER01 20050812 PUBLIC 002546231CER DUMMY THESIS 872985 SzGeCERN eng Lee, G W Undercooling, Local Structure And Phase Transition In Icosahedral Quasicrystals Forming Titanium-zirconium- Nickel Alloy Liquids sine loco Washington Univ. 2004 150 p Not held by the CERN library Presented on 2004 PhD Washington Univ. 2004 While lacking the long-range translationally periodic order of crystalline solids, liquids contain a significant amount of short-range order (SRO), which distinguishes them from gases. The local structure of a liquid is important to understand its chemical and physical properties. One of the remarkable phenomena related to the short-range order of liquids is undercooling. That is, liquids can be retained below their melting temperature for a long time without crystallization. Turnbull first demonstrated this for metallic liquids in 1952. To explain the surprising results, Frank hypothesized in 1952 that the local structure of liquid metals is icosahedral. This structure is quite different from those of crystal phases giving a large nucleation barrier and making the undercooling of liquids possible. However, a complete verification of Frank's hypothesis has not been possible thus far. In this dissertation, this goal has been achieved by demonstrating a direct connection between the nucleation barrier and the icosahedral SRO (ISRO) in Ti-Zr-Ni alloy liquids. Containerless environments and in-situ x-ray scattering experiments, essential for such studies, were possible because of the development of electrostatic levitation (ESL) and Beamline-ESL techniques. In addition, distorted icosahedral SRO in liquids will be shown, which has been expected but never observed. The other important topic related to the undercooled liquids is a liquid-liquid (L-L) transition. Since the undercooled liquids are essentially metastable, the L-L transition could be expected. However, L-L transitions in undercooled liquids have not been observed experimentally, although elemental liquids of P, C, and Si have shown first order transitions above the liquidus temperatures under high pressure. From specific heat measurements of a series of Ti-Zr-Ni alloys by the ESL technique, a maximum in the specific heat at constant pressure was observed in a few quasicrystal forming alloy compositions in the undercooled state, indicating a L-L transition. Surprisingly, the configurational specific heat for the quasicrystal-forming liquid rapidly approaches zero below the maximum, indicating the attainment of a state of constant entropy. Assuming that this is a configurational ground state (at least a constrained equilibrium one), a modified two-level model fits the maximum specific heat data well. SIS PROQUEST2005 SzGeCERN Condensed Matter THESIS PROQUEST Physics, Condensed Matter (0611) Kelton, K F dir. n 200533 29 20070324 0008 CER01 20050815 PUBLIC 002546303CER DUMMY THESIS 874327 DELETED 874328 DELETED 874447 DELETED 874564 DELETED 875100 DELETED 893723 SzGeCERN 20180310012604.0 oai:cds.cern.ch:893723 eng Fluckiger, Thomas Crystal - quasicrystal formations on Al-Co-Ni Zürich ETH. Zürich 2003 mult. p PhD Naturwissenschaften ETH Zürich 2003 SIS ETH2005 SzGeCERN Other Fields of Physics THESIS http://e-collection.ethbib.ethz.ch/cgi-bin/show.pl?type=diss&nr=15308 Access to ETH E-Collection n 200532 14 20051210 0014 CER01 20050817 PUBLIC 002547625CER THESIS Hidden 893724 SzGeCERN 20180310012604.0 oai:cds.cern.ch:893724 eng Lüscher, Rouven Crystal-quasicrystal interfaces: Al on Al-Pd-Mn Zürich ETH. Zürich 2005 mult. p PhD Naturwissenschaften ETH Zürich 2005 SIS ETH2005 SzGeCERN Other Fields of Physics THESIS http://e-collection.ethbib.ethz.ch/cgi-bin/show.pl?type=diss&nr=15779 Access to ETH E-Collection n 200532 14 20051210 0014 CER01 20050817 PUBLIC 002547626CER THESIS Hidden 893842 SzGeCERN 20180310012607.0 oai:cds.cern.ch:893842 eng Hensch, Andreas Electronic characterization of surface transformations on the icosahedral AlPdMn quasicrystal Zürich ETH. Zürich 2001 mult. p PhD Naturwissenschaften ETH Zürich 2001 SIS ETH2005 SzGeCERN Other Fields of Physics THESIS http://e-collection.ethbib.ethz.ch/cgi-bin/show.pl?type=diss&nr=14189 Access to ETH E-Collection n 200532 14 20051210 0014 CER01 20050817 PUBLIC 002547745CER THESIS Hidden 893959 SzGeCERN 20180310012614.0 oai:cds.cern.ch:893959 eng Cervellino, Antonio Higher-dimensional modelling of decagonal quasicrystal structures Zürich ETH. Zürich 2001 mult. p PhD Naturwissenschaften ETH Zürich 2001 SIS ETH2005 SzGeCERN Other Fields of Physics THESIS http://e-collection.ethbib.ethz.ch/cgi-bin/show.pl?type=diss&nr=14023 Access to ETH E-Collection n 200532 14 20051210 0014 CER01 20050817 PUBLIC 002547862CER THESIS Hidden 894491 SzGeCERN 20180310012630.0 oai:cds.cern.ch:894491 eng Bolliger, Bernhard Time-resolved structural investigation of quasicrystal surfaces Zürich ETH. Zürich 2000 mult. p PhD Naturwissenschaften ETH Zürich 2000 SIS ETH2005 SzGeCERN Other Fields of Physics THESIS http://e-collection.ethbib.ethz.ch/cgi-bin/show.pl?type=diss&nr=13562 Access to ETH E-Collection n 200532 14 20051210 0014 CER01 20050817 PUBLIC 002548398CER THESIS Hidden 894713 SzGeCERN PROQUEST 3136351 eng Tang, F The Microstructure-processing-property Relationships In An Aluminum Matrix Composite System Reinforced By Aluminum-copper-iron Alloy Particles sine loco Iowa State Univ. 2004 194 p Not held by the CERN library Presented on 2004 PhD Iowa State Univ. 2004 Solid state vacuum sintering was studied in tap densified Al powder and in hot quasi-isostatically forged samples composed of commercial inert gas atomized or high purity Al powder, generated by a gas atomization reaction synthesis (GARS) technique. The GARS process results in spherical Al powder with a far thinner surface oxide. The overall results indicated the enhanced ability of GARS- processed Al and Al alloy powders for solid state sintering, which may lead to simplification of current Al powder consolidation processing methods. Elemental Al-based composites reinforced with spherical Al-Cu-Fe alloy powders were produced by quasi-isostatic forging and vacuum hot pressing (VHP) consolidation methods. It was proved that spherical Al-Cu-Fe alloy powders can serve as an effective reinforcement particulate for elemental Al-based composites, because of their high hardness and a preferred type of matrix/reinforcement interfacial bonding, with reduced strain concentration around the particles. Ultimate tensile strength and yield strength of the composites were increased over the corresponding Al matrix values, far beyond typical observations. This remarkable strengthening was achieved without precipitation hardening and without severe strain hardening during consolidation because of the matrix choice (elemental Al) and the &ldquo;low shear&rdquo; consolidation methods utilized. This reinforcement effectiveness is further evidenced by elastic modulus measurements of the composites that are very close to the upper bound predictions of the rule of mixtures. The load partitioning measurements by neutron diffraction showed that composite samples made from GARS powders present significantly higher load transfer efficiency than the composites made from commercially atomized powders. Further analysis of the load sharing measurements and the calculated values of the mismatch of coefficient of thermal expansion (CTE) and the geometrically necessary dislocation (GND) effects suggest that these strengthening mechanisms can be combined to predict accurately the strength of the composites. By neutron diffraction measurements, it also was found that the composites consolidated from Al and Al₆₃Cu₂₅Fe₁₂ quasicrystal alloy reinforcement powders have compressive residual stress in the Al matrix, contrary to the tensile residual stress in typical Al/SiC composites. The composites made by the quasi-isostatic forging process exhibited higher tensile strengths and much higher compressive residual stresses than the composites made by the VHP process. SIS PROQUEST2005 SzGeCERN Other Fields of Engineering THESIS PROQUEST Engineering, Materials Science (0794) PROQUEST Engineering, Metallurgy (0743) Anderson, I E dir. n 200540 29 20070324 0007 CER01 20051008 PUBLIC 002565268CER DUMMY THESIS 903996 SzGeCERN 20160323124417.0 math-ph/0511012 eng Gambaudo, J M Minimal configurations for Frenkel-Kontorova model on a quasicrystal 2005 3 Nov 2005 25 p In this paper, we consider the Frenkel-Kontorova model of a one dimensional chain of atoms submitted to a potential. This potential splits into an interaction potential and a potential induced by an underlying substrate which is a quasicrystal. Under standard hypotheses, we show that every minimal configuration has a rotation number, that the rotation number varies continuously with the minimal configuration, and that every non negative real number is the rotation number of a minimal configuration. This generalizes well known results obtained by S. Aubry and P.Y. le Daeron in the case of a crystalline substrate. LANL EDS SzGeCERN Mathematical Physics and Mathematics PREPRINT LANL EDS 37N20 LANL EDS 52C23 LANL EDS 82B20 LANL EDS Mathematical Physics LANL EDS Dynamical Systems LANL EDS Mathematics Guiraud, P Petite, S http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=math-ph&id=0511012 Access to fulltext document n 200544 10 20060627 2033 CER01 20051104 PUBLIC 002574294CER PREPRINT Hidden 906857 SzGeCERN 20160401045313.0 cond-mat/0511345 eng Buczek, P An extinction rule for a class of 1D quasicrystals 2005 14 Nov 2005 5 p We study decorated one-dimensional quasicrystal obtained by a non-standard projection of a part of two-dimensional lattice. We focus on the impact of varying relative positions of decorated sites. First, we give general expression for the structure factor. Subsequently we analyze an example of extinction rule. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Materials Science LANL EDS Condensed Matter Wolny, J Buczek, Pawel Wolny, Janusz http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0511345 Access to fulltext document n 200546 10 20060628 0003 CER01 20051115 PUBLIC 002576831CER PREPRINT Hidden 914815 SzGeCERN 20160401045346.0 cond-mat/0512223 eng Gu, N Co-rich decagonal Al-Co-Ni: predicting structure, orientational order, and puckering 2005 10 Dec 2005 7 p We apply systematic methods previously used by Mihalkovic et al. to predict the structure of the `basic' Co-rich modification of the decagonal Al70 Co20 Ni10 layered quasicrystal, based on known lattice constants and previously calculated pair potentials. The modelling is based on Penrose tile decoration and uses Monte Carlo annealing to discover the dominant motifs, which are converted into rules for another level of description. The result is a network of edge-sharing large decagons on a binary tiling of edge 10.5 A. A detailed analysis is given of the instability of a four-layer structure towards $c$-doubling and puckering of the atoms out of the layers, which is applied to explain the (pentagonal) orientational order. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Condensed Matter LANL EDS Materials Science Henley, C L Mihalkovic, M Gu, Nan http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0512223 Access to fulltext document Cornell Univ. n 200550 10 20060628 0004 CER01 20060320 PUBLIC 002584378CER PREPRINT Hidden 914817 SzGeCERN 20160401045346.0 cond-mat/0512225 eng Henley, C L Discussion on clusters, phasons, and quasicrystal stabilisation Clusters, phasons, and quasicrystal stabilisation 2005 10 Dec 2005 mult. p This paper summarises a two-hour discussion at the Ninth International Conference on Quasicrystals, including nearly 20 written comments sent afterwards, concerning (i) the meaning [if any] of clusters in quasicrystals; (ii) phason elasticity, and (iii) thermodynamic stabilisation of quasicrystals. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Condensed Matter LANL EDS Materials Science De Boissieu, M Steurer, W http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0512225 Access to fulltext document Cornell U., Ithaca NY USA; ENSEEG, Grenoble, France; ETH Zurich, Switzerland n 200550 10 20060628 0004 CER01 20060502 PUBLIC 002584380CER PREPRINT Hidden 927566 SzGeCERN 20160401045457.0 cond-mat/0602095 eng Gu, N Structure prediction for cobalt-rich decagonal AlCoNi from pair potentials 2006 4 Feb 2006 mult. p A systematic, decoration-based technique to discover the atomic structure of a decagonal quasicrystal, given pair potentials and experimentally measured lattice constants, is applied to the ``basic'' cobalt-rich decagonal Al-Co-Ni quasicrystal. First lattice-gas Monte Carlo simulations are performed, assuming the atomic sites are vertices of a rhombus tiling with edge 2.45 A. This phase is found to be dominated by 13 A diameter decagon-shaped clusters, each with a pentagon of Co atoms at the center. These, and another smaller cluster, decorate vertices of a ``binary tiling'' with rhombus edge 10.4 A. Further simulations with a restricted site list show that Al arrangements on the borders of the 13 A decagon cluster form Hexagon, Boat, and Star tiles with edge 2.45 A; they indicate specific sites for Co versus Ni atoms, and how the structure adapts to small composition changes. In the second half of the paper, relaxation (augmented by molecular dynamics annealing) is used to obtain realistic structures. The dominant new feature is a set of linear ``channels'' attractive to Al atoms and running transverse to the layers. Each is typically occupied by three atoms in four layers, implying puckering and a spontaneous period doubling to c $\approx$ 8 A. Puckering favors pentagonal long range order of the cluster orientations. Our simulation captures most features of the related $W$-AlCoNi crystal, except for its pentagonal bipyramid motif. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Condensed Matter LANL EDS Materials Science Henley, C L Mihalkovic, M Gu, Nan http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0602095 Access to fulltext document Cornell U., MIT, Slovak Acad. Sci n 200606 10 20060701 0007 CER01 20060207 PUBLIC 002595434CER PREPRINT Hidden 933879 SzGeCERN 20160401045547.0 cond-mat/0603178 eng Gu, N Energy-based Structure Prediction for d(Al70Co20Ni10) 2006 7 Mar 2006 mult. p We use energy minimization principles to predict the structure of a decagonal quasicrystal - d(AlCoNi) - in the Cobalt-rich phase. Monte Carlo methods are then used to explore configurations while relaxation and molecular dynamics are used to obtain a more realistic structure once a low energy configuration has been found. We find five-fold symmetric decagons 12.8 A in diameter as the characteristic formation of this composition, along with smaller pseudo-five-fold symmetric clusters filling the spaces between the decagons. We use our method to make comparisons with a recent experimental approximant structure model from Sugiyama et al (2002). LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Materials Science LANL EDS Condensed Matter Mihalkovic, M Henley, C L Gu, Nan http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0603178 Access to fulltext document Cornell U. current M.I.T., perm.Slovak Acad.Sci. n 200610 10 20060701 0009 CER01 20060308 PUBLIC 002601458CER PREPRINT Hidden 938806 SzGeCERN 20160323125941.0 math-ph/0603065 eng DI-2006-006 Pelantová, E Quasicrystals: algebraic, combinatorial and geometrical aspects 2006 26 Mar 2006 19 p Contribution to the proceedings : NATO School "Physics and Computer Science", Cargese 2005 The paper presents mathematical models of quasicrystals with particular attention given to cut-and-project sets. We summarize the properties of higher-dimensional quasicrystal models and then focus on the one-dimensional ones. For the description of their properties we use the methods of combinatorics on words. LANL EDS SzGeCERN Mathematical Physics and Mathematics PREPRINT LANL EDS 52C23 LANL EDS 68R15 LANL EDS Mathematical Physics LANL EDS Combinatorics LANL EDS Mathematics Masakova, Z Pelantov\'a, Edita Mas\'akov\'a, Zuzana http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=math-ph&id=0603065 Access to fulltext document n 200613 10 20060913 1439 CER01 20060328 PUBLIC 002606106CER PREPRINT Hidden 945481 SzGeCERN PROQUEST eng Kobas, M Modelling Disorder In Quasicrystals. Decagonal Aluminium- Cobalt-nickel sine loco ETH. Zürich 2005 109 p Not held by the CERN library Presented on 2005 MSc Eidgenoessische Technische Hochschule Zuerich 2005 The theme of this doctoral thesis is the modelling of structural disorder phenomena from decagonal Al-Co-Ni quasicrystals by an analysis of full diffuse X-ray scattering data as a function of temperature. The motivation for this study is to reveal the complex ordering principles of decagonal Al-Co-Ni quasicrystals and, consequently, to understand the driving force for the formation and stability of these materials. For the first time, the 3D difference Patterson (autocorrelation) function of a disordered quasicrystal (<italic>Edagawa-phase</italic>) has been analysed. A new technique, the punch-and-fill method has been developed to separate diffuse scattering and Bragg reflections. Its potential and limits are discussed in detail. The calculated difference Patterson maps are interpreted in terms of inter-cluster correlations as a function of temperature. Both, at high and low temperatures, clusters decorate the vertices of the same quasiperiodic covering. At high temperatures, medium-range inter-cluster correlations are present, whereas at low temperatures, the ordering between the clusters becomes less concise. Qualitatively, the Patterson maps may be interpreted by inter-cluster correlations, which take place mainly inside pentagonal superclusters below 1120 K, and inside larger decagonal superclusters at 1120 K. The pentagonal supercluster consists of five <italic>Gummelt</italic> clusters at the corners of a star-centered pentagon with &ap;20 &Aring; edge length; the decagonal supercluster is composed of one central <italic>Gummelt</italic> cluster edge-joiningly surrounded by a ring of ten further overlapping <italic>Gummelt</italic> clusters. The hydrodynamic theory of phasonic and phononic disorder has been applied successfully to describe the short- range, disordered structure of the <italic> Edagawa- phase</italic>. Moreover, model calculations demonstrate that the main features of diffuse scattering can equally well be described by phasonic disorder and fivefold orientational disorder of clusters. The calculations allow to distinguish the different cluster types published so far and the best agreement with experimental data could be achieved with the mirror-symmetric Abe- cluster. Modelling of phasonic diffuse scattering associated with the S1 and S2 superstructure reflections indicates disorder of superclusters. The former show basically inter-cluster correlations inside quasiperiodic layers, while the latter exhibit intra- and inter-cluster correlations, both between adjacent and inside quasiperiodic layers. The feasibility, potential and limits of the Patterson method in combination with the <italic>punch-and-fill </italic> method employed is shown on the example of a phasonic disordered rhombic Penrose tiling. A variation of the elastic constants within the framework of the hydrodynamic theory does not change qualitatively the way phasonic disorder is realized in the <italic>local</italic> quasicrystalline structure. For the same model system it is also shown that phasonic fluctuations of the atomic surfaces give average clusters in the cut-space, which correspond to fivefold orientationally disordered clusters, <italic>i.e</italic>. phasons induce fivefold orientational disorder of clusters. A Patterson analysis of the diffuse interlayers from the Edagawa-phase showed that the main unit for correlated displacements along the periodic direction is a disordered structure motif (cluster) with a diameter of &ap;15 &Aring;, the fine structure of which does hardly change as a function of temperature. At 1120 K, the displacements of the clusters are uncorrelated along quasiperiodic directions, while at lower temperatures &ap;42 &Aring;-sized superclusters of a well-defined shape are formed. The spatial distribution but not the internal structure of the superclusters differs significantly at 1070 K and 300 K. SIS PROQUEST2006 SzGeCERN Other Fields of Engineering THESIS PROQUEST Engineering, Materials Science (0794) PROQUEST Physics, Condensed Matter (0611) n 200618 29 20070425 1432 CER01 20060502 PUBLIC 002612447CER DUMMY THESIS 945493 SzGeCERN 0542381699 PROQUEST 3193983 eng Lai, Y The Study Of Band Gap Engineering For Phononic Crystals And Gap Structures In Phononic Quasicrystals sine loco Hong Kong Univ Sci And Tech peoples Republic Of China 2005 141 p Not held by the CERN library Presented on 2005 PhD Hong Kong Univ Sci And Tech peoples Republic Of China 2005 Phononic crystals and quasicrystals are solid-solid, fluid-solid or fluid-fluid composites with periodic or quasiperiodic long-range order, respectively. They are of interest not only because of the profound effects of their periodic or quasiperiodic structure on wave propagation (e.g. the existence of elastic or acoustic band gaps), but also because of potential applications like sound filters, transducer design and acoustic mirrors, etc. In this thesis, I will present some research progress in the study of both phononic crystals and quasicrystals. For phononic crystals, we have proposed a simple, systematic and efficient method to engineer elastic (acoustic) band gaps. A gap can be enhanced or created by altering the microstructure according to the field-energy distributions of the Bloch states at the band edges as well as their derivatives. Due to the structure of the acoustic wave equation, the engineering of acoustic band gaps is much more efficient than that of photonic band gaps. For elastic waves, a large absolute band gap can be enhanced or created by inserting air inclusions in a two- component elastic phononic crystal or quasicrystal with small density contrast and filling fraction. The positions of the insertion are chosen to suppress the shear potential energy of the acoustic branches and lower their frequencies. The validity of the proposed methods is supported by multiple-scattering calculations in various two-dimensional systems, such as steel cylinders in air, water cylinders in mercury and aluminum cylinders in epoxy. Our methods make the acoustic band gap 'designable' and the realization of a light and effective sonic insulator possible. The sonic band-gap structures of a 12-fold symmetric quasicrystal consisting of rigid cylinders in air are investigated by using the multiple scattering method. Large full gaps are found owing to its high symmetry. However, the gap structure evolves with the sample size. By using the SMCG method, we have observed a self-similar like behavior of states emerging inside original gaps and gaps emerging inside original bands when the sample size is increased. The long-range order has been proved important for the formation of gaps at low frequencies. We have also studied the properties of wave functions in large samples (up to 33919 cylinders). Various types of wave functions have been seen, including extended state, self-similar state with a power-law decay and confined state. SIS PROQUEST2006 SzGeCERN Condensed Matter THESIS PROQUEST Physics, Condensed Matter (0611) PROQUEST Physics, Acoustics (0986) Zhang, Z dir. n 200618 29 20071120 1243 CER01 20060502 PUBLIC 002612459CER DUMMY THESIS 945527 SzGeCERN 0542306581 PROQUEST 3188671 eng Man, W Photonic Quasicrystals And Random Ellipsoid Packings: Experimental Geometry In Condensed Matter Physics Princeton, NJ Princeton Univ. 2005 123 p Not held by the CERN library Presented on 2005 PhD Princeton Univ. 2005 This thesis investigates photonic quasicrystals and ellipsoid packings, two problems in which geometry plays an important role in condensed matter physics and where the use of stereolithographically fabricated macroscopic models helps to solve fundamental problems. <italic>Part I</italic>. Photonic quasicrystals may have bandgap properties that make them well-suited for scientific and technological applications in which photonic crystals are normally considered. They are constructed from two or more types of dielectric material arranged in a quasiperiodic pattern whose rotational symmetry is forbidden for periodic crystals. Because quasicrystals have higher point group symmetry (are closer to spherical) than ordinary crystals, their gap center frequencies are closer and the gaps widths are more uniform, optimal conditions for forming a complete, more spherical bandgap. Our calculations on 2-D Penrose quasicrystals show very isotropic bandgaps. Analogous computations 3-D quasicrystals are challenging and have not been performed to date. Here we circumvent the 3-D computational problem by doing an experiment. Using stereolithography we constructed an icosahedral photonic quasicrystal with centimeter-scale cells and performed microwave transmission measurements. We show that the quasicrystal exhibits sizeable stopgaps and determine their effective Brillouin zones. As a check, we perform calculations and experiments on a similar photonic crystal with diamond symmetry. Our studies confirm that quasicrystals are excellent candidates for photonic bandgap materials. <italic>Part II</italic>. The measurements of the overall density &phis;<sub> avr</sub>, &phis;(<italic>r</italic>), and the core density agree with simulations. Recent simulations indicate that ellipsoids can randomly pack more densely than spheres and, remarkably, ellipsoids with aspect ratio 1.25:1:0.8 can approach the densest crystal packing (FCC) of spheres, with packing fraction 74%. We demonstrate that such dense packings are experimentally realizable. We introduce a novel way of determining packing density for a finite number of particles that minimizes wall effects. We have fabricated ellipsoids using stereolithography and show that in a spherical container of radius R, the radial packing fraction, &phis;(r), can be obtained from V(h), the volume of added fluid to fill the sphere to height h. Additionally, we perform an MRI scan of our packing and obtain &phis;(r) from it. The measurements of the overall density &phis;<sub>avr</sub>, &phis;(r), and the core density &phis;<sub> 0</sub> = 0.74 &plusmn; 0.005agree with simulations. SIS PROQUEST2006 SzGeCERN Condensed Matter THESIS PROQUEST Physics, Condensed Matter (0611) PROQUEST Physics, Optics (0752) Chaikin, P M dir. n 200618 29 20071120 1243 CER01 20060502 PUBLIC 002612493CER DUMMY THESIS 950703 SzGeCERN 20160323125716.0 math-ph/0605046 eng Cotfas, N Modified strip projection method 2006 14 May 2006 15 p The diffraction image of a quasicrystal admits a finite group $G$ as a symmetry group, and the quasicrystal can be regarded as a quasiperiodic packing of copies of a $G$-cluster $\mathcal{C}$, joined by glue atoms. The physical space $E$ containing $\mathcal{C}$ can be embedded into a higher-dimensional space $\mathbb{R}^k$ such that, up to an inflation factor, $\mathcal{C}$ is the orthogonal projection of the set $\{(\pm 1,0,...,0)$, $(0,\pm 1,0,...,0)$, ... $(0,...,0,\pm 1)\}$. The projections of the points of $\mathbb{Z}^k$ lying in the strip $S=E+[-1/2,1/2]^k+t$ obtained by shifting a hypercube $[-1/2,1/2]^k+t$ along $E$ is a quasiperiodic packing of partially occupied copies of $\mathcal{C}$, but unfortunately, the occupation of clusters is very low. In our modified strip projection method we firstly determine for each point $x\in \mathbb{Z}^k\cap S$ the number $n(x)$ of all the arithmetic neighbours of $x$ lying in the strip $S$, and project the points of $\mathbb{Z}^k\cap S$ on $E$ in the decreasing order of the occupation number $n(x)$. In the case when $n(x)$ represents more than $p%$ of all the points of the cluster $C$ we project all the arithmetic neighbours of $x$ (lying inside or outside $S$). We choose $p$ such that to avoid the superposition of the fully occupied clusters. The projection of a point $x$ with $n(x)$ less than $p%$ of all the points of the cluster $C$ is added to the pattern only if it is not too close to the already obtained points. LANL EDS SzGeCERN Mathematical Physics and Mathematics PREPRINT LANL EDS 52C23 LANL EDS Mathematical Physics LANL EDS Mathematics Cotfas, Nicolae http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=math-ph&id=0605046 Access to fulltext document n 200620 10 20060701 0013 CER01 20060516 PUBLIC 002617458CER PREPRINT Hidden 958843 SzGeCERN 0542382032 PROQUEST 3193988 eng Ng, T F Light-induced Forces On Small Particles sine loco Hong Kong Univ Sci And Tech peoples Republic Of China 2005 141 p Not held by the CERN library Presented on 2005 PhD Hong Kong Univ Sci And Tech peoples Republic Of China 2005 Light-trapping is generally associated with the phenomenon that small particles are driven toward the intensity maxima of a carefully sculpted laser beam. There is another type of inter-particle optical force arising from the coherent multiple-scattering of light between the particles, previously observed in various experiments. This thesis is mainly devoted to the theoretical study of such optical binding force for a cluster of dielectric particles. In contrast to the intensity-driven light-trapping, the optical binding force is present even when a plane wave (with homogeneous intensity) is incident upon a collection of microparticles. Firstly, the theory of optical force for neutral dielectric Rayleigh particles is presented. We then show through rigorous calculations that the optical binding force (with the incident intensity &sim;10<super>6</super> W/cm<super>2</super>) can dominate other interactions and bind dielectric microspheres in stable structures that behave like 'molecules.' Such photonic clusters can exhibit a multiplicity of static and drifting equilibrium configurations, with some having remarkable geometries such as a quasicrystal-like arrangement. The photonic clusters exhibit exotic dynamics, and the equilibrium configurations can correspond with either stable or a type of quasi-stable states in which the cluster maintains an average shape, with individual particles executing periodic motion in the presence of frictional dissipation. Photonic clusters consist of Rayleigh particles are also investigated. A stable one-dimensional lattice is found and analyzed, localized vibration modes are observed. Finally, we consider an interesting type of resonant inter-particle optical force. We shall see that tuning of the incident light's frequency to the morphology- dependent resonances of a cluster of transparent microspheres induces a strong, resonant optical force between the spheres. The resonant force can be enhanced by orders of magnitude so that it dominates other interactions (at a modest incident intensity of &sim;10<super>4</super> W/cm<super>2</super>). We also proposed various ways to utilize the resonant force in the binding of a microsphere cluster. SIS PROQUEST2006 SzGeCERN Physics in General THESIS PROQUEST Physics, Optics (0752) PROQUEST Chan, C T dir. n 200623 29 20071121 1244 CER01 20060607 PUBLIC 002625175CER DUMMY THESIS 961844 SzGeCERN 20160401045803.0 cond-mat/0606241 eng Prejean, J J Experimental study of the competition between Kondo and RKKY interactions for Mn spins in a model alloy system 2006 9 Jun 2006 18 p The quasicrystal Al-Pd-Mn is a model system for an experimental study of the competition between Ruderman-Kittel-Kasuya-Yoshida (RKKY) and Kondo interactions. First, specific of such alloys, only a few Mn atoms carry an effective spin and their concentration x is tunable over several orders of magnitude, even though the Mn amount is almost constant. Second, the characteristic energy scales for the interactions lie in the Kelvin range. Hence we could study the magnetization on both side of these energy scales, covering a range of temperatures [0.1-100 K] and magnetic fields (mu_B H/k_B= 0 to 5 K) for 22 samples and x varying over 2 decades. Using very general Kondo physics arguments, and thus carrying out the data analysis with no preconceived model, we found a very robust and simple result: The magnetization is a sum of a pure Kondo (T_K=3.35K) and a pure RKKY contributions, whatever the moment concentration is and this surprisingly up to the concentration where the RKKY couplings dominate fully and thus cannot be considered as a perturbation. LANL EDS SzGeCERN Condensed Matter ARTICLE LANL EDS Strongly Correlated Electrons LANL EDS Condensed Matter Lhotel, E Sulpice, A Hippert, F 214205 Phys. Rev. B 73 2006 http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0606241 Access to fulltext document n 200624 13 20060902 0006 CER01 20060612 PUBLIC 002628090CER ARTICLE Hidden 970908 SzGeCERN 20160408172623.0 math.FA/0607198 eng math/0607198 Elek, G $L^2$-spectral invariants and quasi-crystal graphs 2006 7 Jul 2006 mult. p Introducing and studying the pattern frequency algebra, we prove the analogue of L\"uck's approximation theorems on $L^2$-spectral invariants in the case of aperiodic order. These results imply a uniform convergence theorem for the integrated density of states as well as the positivity of the logarithmic determinant of certain discrete Schrodinger operators. LANL EDS SzGeCERN Mathematical Physics and Mathematics PREPRINT LANL EDS 81Q10 LANL EDS 46L51 LANL EDS Functional Analysis LANL EDS Mathematical Physics LANL EDS math.FA http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=math.FA&id=0607198 Access to fulltext document n 200628 10 20060902 0007 CER01 20060710 PUBLIC 002635133CER PREPRINT Hidden 974479 SzGeCERN 20160401045907.0 cond-mat/0607624 eng Zhang, W Are Vortex Quasi-Crystals New Phases of Vortex Matter? 2006 24 Jul 2006 4 p There seems to be a one to one correspondence between the phases of atomic and molecular matter (AMOM) and vortex matter (VM) in superfluids and superconductors. Crystals, liquids and glasses have been experimentally observed in both AMOM and VM. However, quasi-crystals also exist in AMOM, thus a new phase of vortex matter is proposed here: the vortex quasi-crystal. It is argued that vortex quasi-crystals are stabilized due to imposed quasi-periodic potentials in large samples or due to boundary and surface energy effects for samples of special shapes and sizes. For finite size samples, it is proposed that a phase transition between a vortex crystal and a vortex quasi-crystal occurs as a function of magnetic field and temperature as the sample size is reduced. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Superconductivity LANL EDS Condensed Matter Sá de Melo, C A R Zhang, Wei http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0607624 Access to fulltext document n 200630 10 20060902 0009 CER01 20060726 PUBLIC 002638288CER PREPRINT Hidden 977308 SzGeCERN 20160401045926.0 cond-mat/0608201 eng Setyawan, W Xe films on a decagonal Al-Ni-Co quasicrystal surface 2006 8 Aug 2006 6 p The grand canonical Monte Carlo method is employed to study the adsorption of Xe on a quasicrystalline Al-Ni-Co surface. The calculation uses a semiempirical gas-surface interaction, based on conventional combining rules and the usual Lennard-Jones Xe-Xe interaction. The resulting adsorption isotherms and calculated structures are consistent with the results of LEED experimental data. In this paper we focus on five features not discussed earlier (Phys. Rev. Lett. 95, 136104 (2005)): the range of the average density of the adsorbate, the order of the transition, the orientational degeneracy of the ground state, the isosteric heat of adsorption of the system, and the effect of the vertical cell dimension. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Soft Condensed Matter LANL EDS Condensed Matter Ferralis, N Diehl, R D Cole, M W Curtarolo, S Setyawan, Wahyu Ferralis, Nicola Diehl, Renee D. Cole, Milton W. Curtarolo, Stefano http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0608201 Access to fulltext document n 200632 10 20061016 2033 CER01 20060809 PUBLIC 002640847CER PREPRINT Hidden 979448 SzGeCERN 20160401045941.0 cond-mat/0608443 eng Hentschel, H G E Statistical Mechanics of the Glass Transition 2006 20 Aug 2006 4 p The statistical mechanics of simple glass forming systems in 2 dimensions is worked out. The glass disorder is encoded via a Voronoi tessellation, and the statistical mechanics is performed directly in this encoding. The theory provides, without free parameters, an explanation of the glass transition phenomenology, including the identification of two different temperatures, $T_g$ and $T_k$, the first associated with jamming and the second associated with the appearance of a quasi-crystal at very low temperatures. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Statistical Mechanics LANL EDS Materials Science LANL EDS Condensed Matter Ilyin, V Makedonska, N Procaccia, I Schupper, N Ilyin, Valery Makedonska, Nataliya Procaccia, Itamar Schupper, Nurith http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0608443 Access to fulltext document n 200634 10 20061016 2034 CER01 20060822 PUBLIC 002642667CER PREPRINT Hidden 1104271 SzGeCERN 20170908150625.0 arXiv oai:arXiv.org:0805.1605 arXiv:0805.1605 eng Bianchi, Gabriele The covariogram determines three-dimensional convex polytopes 2008 13 May 2008 32 p Comments: 32 pages, 3 figures, major revision with respect to version previously sent by email to some colleagues The cross covariogram g_{K,L} of two convex sets K, L in R^n is the function which associates to each x in R^n the volume of the intersection of K with L+x. The problem of determining the sets from their covariogram is relevant in stochastic geometry, in probability and it is equivalent to a particular case of the phase retrieval problem in Fourier analysis. It is also relevant for the inverse problem of determining the atomic structure of a quasicrystal from its X-ray diffraction image. The two main results of this paper are that g_{K,K} determines three-dimensional convex polytopes K and that g_{K,L} determines both K and L when K and L are convex polyhedral cones satisfying certain assumptions. These results settle a conjecture of G. Matheron in the class of convex polytopes. Further results regard the known counterexamples in dimension n>=4. We also introduce and study the notion of synisothetic polytopes. This concept is related to the rearrangement of the faces of a convex polytope. LANL EDS SzGeCERN Mathematical Physics and Mathematics arXiv math.CA arXiv math.PR PREPRINT LANL EDS Mathematics Metric Geometry math.MG LANL EDS math.CA LANL EDS math.PR http://arxiv.org/pdf/0805.1605.pdf n 200820 11 20081215 1308 CER01 20080523 PUBLIC 002757863CER PREPRINT Hidden 1104437 SzGeCERN 20170908150626.0 arXiv oai:arXiv.org:0805.1805 arXiv:0805.1805 eng Bianchi, Gabriele The cross covariogram of a pair of polygons determines both polygons, with a few exceptions 2008 14 May 2008 26 p Comments: 26 pages, 9 figures The cross covariogram g_{K,L} of two convex sets K and L in R^n is the function which associates to each x in R^n the volume of the intersection of K and L+x. Very recently Averkov and Bianchi [AB] have confirmed Matheron's conjecture on the covariogram problem, that asserts that any planar convex body K is determined by the knowledge of g_{K,K}. The problem of determining the sets from their covariogram is relevant in probability, in statistical shape recognition and in the determination of the atomic structure of a quasicrystal from X-ray diffraction images. We prove that when K and L are convex polygons (and also when K and L are planar convex cones) g_{K,L} determines both K and L, up to a described family of exceptions. These results imply that, when K and L are in these classes, the information provided by the cross covariogram is so rich as to determine not only one unknown body, as required by Matheron's conjecture, but two bodies, with a few classified exceptions. These results are also used by Bianchi [Bia] to prove that any convex polytope P in R^3 is determined by g_{P,P}. LANL EDS SzGeCERN Mathematical Physics and Mathematics arXiv math.ST arXiv stat.TH PREPRINT LANL EDS Mathematics Metric Geometry math.MG LANL EDS math.ST LANL EDS stat.TH http://arxiv.org/pdf/0805.1805.pdf n 200820 11 20081215 1308 CER01 20080523 PUBLIC 002758029CER PREPRINT Hidden 1111512 SzGeCERN 20170908150640.0 arXiv oai:arXiv.org:0806.3833 arXiv:0806.3833 eng Bücking, Ulrike Approximation of conformal mappings by circle patterns 2008 25 Jun 2008 36 p Comments: 36 pages, 7 figures A circle pattern is a configuration of circles in the plane whose combinatorics is given by a planar graph G such that to each vertex of G corresponds a circle. If two vertices are connected by an edge in G, the corresponding circles intersect with an intersection angle in $(0,\pi)$. Two sequences of circle patterns are employed to approximate a given conformal map $g$ and its first derivative. For the domain of $g$ we use embedded circle patterns where all circles have the same radius decreasing to 0 and which have uniformly bounded intersection angles. The image circle patterns have the same combinatorics and intersection angles and are determined from boundary conditions (radii or angles) according to the values of $g'$ ($|g'|$ or $\arg g'$). For quasicrystallic circle patterns the convergence result is strengthened to $C^\infty$-convergence on compact subsets. LANL EDS SzGeCERN Mathematical Physics and Mathematics arXiv math.CV PREPRINT LANL EDS Mathematics Metric Geometry math.MG LANL EDS math.CV http://arxiv.org/pdf/0806.3833.pdf n 200825 11 20081215 1308 CER01 20080625 PUBLIC 002764368CER PREPRINT Hidden 1118671 SzGeCERN 20170907220135.0 arXiv oai:arXiv.org:0808.0094 arXiv:0808.0094 eng Grimm, Uwe Milton Keynes Homometric Point Sets and Inverse Problems 2008 04 Aug 2008 8 p Comments: 8 pages The inverse problem of diffraction theory in essence amounts to the reconstruction of the atomic positions of a solid from its diffraction image. From a mathematical perspective, this is a notoriously difficult problem, even in the idealised situation of perfect diffraction from an infinite structure. Here, the problem is analysed via the autocorrelation measure of the underlying point set, where two point sets are called homometric when they share the same autocorrelation. For the class of mathematical quasicrystals within a given cut and project scheme, the homometry problem becomes equivalent to Matheron's covariogram problem, in the sense of determining the window from its covariogram. Although certain uniqueness results are known for convex windows, interesting examples of distinct homometric model sets already emerge in the plane. The uncertainty level increases in the presence of diffuse scattering. Already in one dimension, a mixed spectrum can be compatible with structures of different entropy. We expand on this example by constructing a family of mixed systems with fixed diffraction image but varying entropy. We also outline how this generalises to higher dimension. LANL EDS SzGeCERN Mathematical Physics and Mathematics arXiv math-ph arXiv math.MP PREPRINT LANL EDS Mathematics Metric Geometry math.MG LANL EDS math-ph LANL EDS math.MP Baake, Michael Bielefeld n 200831 11 20090224 2000 CER01 20080805 PUBLIC 002771022CER PREPRINT Hidden http://arxiv.org/pdf/0808.0094.pdf Preprint 1120540 SzGeCERN 20170906220255.0 arXiv oai:arXiv.org:0808.1814 arXiv:0808.1814 eng Moody, R V Computing with almost periodic functions 2008 14 Aug 2008 23 p Comments: 23 pages, 17 figures, to appear in Acta Crystallographica A The paper develops a method for discrete computational Fourier analysis of functions defined on quasicrystals and other almost periodic sets. A key point is to build the analysis around the emerging theory of quasicrystals and diffraction in the setting on local hulls and dynamical systems. Numerically computed approximations arising in this way are built out of the Fourier module of the quasicrystal in question, and approximate their target functions uniformly on the entire infinite space. The methods are entirely group theoretical, being based on finite groups and their duals, and they are practical and computable. Examples of functions based on the standard Fibonacci quasicrystal serve to illustrate the method (which is applicable to all quasicrystals modeled on the cut and project formalism). LANL EDS arXiv math-ph arXiv math.MP PREPRINT LANL EDS math-ph LANL EDS math.MP Nesterenko, M Patera, J n 200832 11 20081206 0006 CER01 20080814 PUBLIC 002772780CER PREPRINT Hidden http://arxiv.org/pdf/0808.1814.pdf Preprint 1126529 SzGeCERN 20170221182123.0 DOI 10.1364/OE.17.006636 oai:arXiv.org:0809.1862 http://export.arxiv.org/oai2 2015-05-13 2015-05-13T05:20:02Z arXiv true arXiv arXiv:0809.1862 eng Passias, Vasilios Luminescence Properties of a Fibonacci Photonic Quasicrystal 2008 11 Sep 2008 14 p Comments: PDF file, 14 pages 4 figures Comments: PDF file, 14 pages 4 figures arXiv We report the realization of an active one-dimensional Fibonacci photonic quasi-crystal via spin coating. Manipulation of the luminescence properties of an organic dye embedded in the quasi-crystal is presented and compared to theoretical simulations. The luminescence occurs via the pseudo-bandedge mode and follows the dispersion properties of the Fibonacci crystal. Time resolved luminescence measurement of the active structure shows faster spontaneous emission rate, indicating the effect of the large photon densities available at the bandedge due to the presence of critically localized states. The experimental results are in excellent agreement with the theoretical calculations. http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS arXiv physics.optics PREPRINT LANL EDS physics.optics Valappil, Nikesh Shi, Zhou Deych, Lev Lisyansky, Alexander Menon, Vinod M http://arxiv.org/pdf/0809.1862.pdf Preprint n 200837 11 20081206 0005 CER01 20080917 PUBLIC 002776699CER PREPRINT Hidden 1129755 SzGeCERN 20171016132615.0 arXiv oai:arXiv.org:0809.4997 SPIRES 7991363 Inspire 797903 arXiv:0809.4997 eng Di Gennaro, E Mode Confinement in Photonic Quasi-Crystal Point-Defect Cavities for Particle Accelerators 2008 30 Sep 2008 4 p Comments: 4 pages, 4 figures, accepted for publication in Applied Physics Letters In this Letter, we present a study of the confinement properties of point-defect resonators in finite-size photonic-bandgap structures composed of aperiodic arrangements of dielectric rods, with special emphasis on their use for the design of cavities for particle accelerators. Specifically, for representative geometries, we study the properties of the fundamental mode (as a function of the filling fraction, structure size, and losses) via 2-D and 3-D full-wave numerical simulations, as well as microwave measurements at room temperature. Results indicate that, for reduced-size structures, aperiodic geometries exhibit superior confinement properties by comparison with periodic ones. LANL EDS SzGeCERN Accelerators and Storage Rings arXiv physics.optics PREPRINT LANL EDS Physics Accelerator Physics physics.acc-ph LANL EDS physics.optics Savo, S Andreone, A Galdi, V Castaldi, G Pierro, V Masullo, M R n 200839 11 20100409 2241 CER01 20080930 PUBLIC 002781830CER PREPRINT Hidden http://arxiv.org/pdf/0809.4997.pdf Preprint 1132477 SzGeCERN 20170906220111.0 arXiv oai:arXiv.org:0810.0407 arXiv:0810.0407 eng Huck, Christian Discrete Tomography of F-Type Icosahedral Model Sets 2008 03 Oct 2008 7 p Comments: 7 pages, 4 figures; paper presented at the 10th International Conference on Quasicrystals ICQ10 (Zurich, Switzerland) We address the problem of uniquely reconstructing F-type icosahedral quasicrystals from few images produced by quantitative high resolution transmission electron microscopy and explain recent results in the discrete tomography of these sets. LANL EDS arXiv math-ph arXiv math.MP PREPRINT LANL EDS math-ph LANL EDS math.MP n 200839 11 20081122 0009 CER01 20081004 7 pages, 4 figures; paper presented at the 10th International Conference on Quasicrystals ICQ10 (Zurich, Switzerland) PUBLIC 002782467CER PREPRINT Hidden http://arxiv.org/pdf/0810.0407.pdf Preprint 1137558 SzGeCERN 20170906220309.0 arXiv oai:arXiv.org:0810.5750 arXiv:0810.5750 eng Baake, Michael Bielefeld Can Kinematic Diffraction Distinguish Order from Disorder? 2008 03 Nov 2008 Comments: 5 pages, 1 figure Diffraction methods are at the heart of structure determination of solids. While Bragg-like scattering (pure point diffraction) is a characteristic feature of crystals and quasicrystals, it is not straightforward to interpret continuous diffraction intensities, which are generally linked to the presence of disorder. However, based on simple model systems, we demonstrate that it may be impossible to draw conclusions on the degree of order in the system from its diffraction image. In particular, we construct a family of one-dimensional binary systems which cover the entire entropy range but still share the same purely diffuse diffraction spectrum. LANL EDS arXiv math-ph arXiv math.MP PREPRINT LANL EDS math-ph LANL EDS math.MP Grimm, Uwe Milton Keynes n 200844 11 20081103 0920 CER01 20081103 PUBLIC 002786991CER PREPRINT Hidden http://arxiv.org/pdf/0810.5750.pdf Preprint 1139101 SzGeCERN 20171103220731.0 arXiv oai:arXiv.org:0811.1417 arXiv:0811.1417 eng Danylchenko, O Abnormally large changes in anharmonicity of intramolecular vibrations in free clusters of nitrogen 2008 11 Nov 2008 Comments: The complete version is to be published Cathodoluminescence VUV spectra of free pure nitrogen clusters produced by condensation of gas mixtures in supersonic jets expanding into vacuum were studied. The clusters were of icosahedral structure, as evidenced by our electron diffraction measurements, i.e., quasicrystals, and contained about 1000 atoms. The cluster temperature was about 40 K. The luminescence spectra measured in the range of 45,000-75,000 cm^-1 clearly showed three vibronic w -> X series of transitions from the excited 'w' to the ground 'X' state, which are intrinsic to nitrogen molecules. All the transitions revealed a strong dependence of the matrix shift of their peak positions on vibration quantum number, while for bulk samples of N2 the matrix shift is known to remain unchanged. Our analysis showed that in clusters the vibrational anharmonicity parameter changes drastically for both the upper and lower states, while the change in the vibrational frequencies is much less prominent. The results obtained provide information about an abnormally strong influence of cluster environment on the nonlinear contribution to the vibrations of nitrogen molecules. LANL EDS SzGeCERN Other Fields of Physics arXiv physics.optics PREPRINT LANL EDS Physics Atomic and Molecular Clusters physics.atm-clus LANL EDS physics.optics Doronin, Yu Kovalenko, S Libin, M Samovarov, V Vakula, V n 200845 11 20081212 1726 CER01 20081111 PUBLIC 002788395CER PREPRINT Hidden http://arxiv.org/pdf/0811.1417.pdf Preprint 1142335 SzGeCERN 20160429162932.0 arXiv oai:arXiv.org:0811.4361 arXiv:0811.4361 eng Gazeau, Jean-Pierre APC On the spectrum of the Thue-Morse quasicrystal and the rarefaction phenomenon 2008 27 Nov 2008 Comments: 35 pages In honor of the 60-th birthday of Henri Cohen The spectrum of a weighted Dirac comb on the Thue-Morse quasicrystal is investigated, and characterized up to a measure zero set, by means of the Bombieri-Taylor conjecture, for Bragg peaks, and of another conjecture that we call Aubry-Godr\`eche-Luck conjecture, for the singular continuous component. The decomposition of the Fourier transform of the weighted Dirac comb is obtained in terms of tempered distributions. We show that the asymptotic arithmetics of the $p$-rarefied sums of the Thue-Morse sequence (Dumont; Goldstein, Kelly and Speer; Grabner; Drmota and Skalba,...), namely the fractality of sum-of-digits functions, play a fundamental role in the description of the singular continous part of the spectrum, combined with some classical results on Riesz products of Peyri\`ere and M. Queff\'elec. The dominant scaling of the sequences of approximant measures on a part of the singular component is controlled by certain inequalities in which are involved the class number and the regulator of real quadratic fields. LANL EDS arXiv math.NT PREPRINT LANL EDS math.NT Verger-Gaugry, Jean-Louis IF n 200847 11 20081127 1521 CER01 20081127 PUBLIC 002791312CER PREPRINT Hidden http://arxiv.org/pdf/0811.4361.pdf Preprint 1152991 SzGeCERN 20160430151240.0 arXiv oai:arXiv.org:0812.4006 arXiv:0812.4006 eng Balková, L Repetitions in beta-integers 2008 23 Dec 2008 Comments: 11 pages Classical crystals are solid materials containing arbitrarily long periodic repetitions of a single motif. In this paper, we study the maximal possible repetition of the same motif occurring in beta-integers -- one dimensional models of quasicrystals. We are interested in beta-integers realizing only a finite number of distinct distances between neighboring elements. In such a case, the problem may be reformulated in terms of combinatorics on words as a study of the index of infinite words coding beta-integers. We will solve a particular case for beta being a quadratic non-simple Parry number. LANL EDS arXiv math.CO PREPRINT LANL EDS math.CO Klouda, K Pelantová, E n 200851 11 20090126 1436 CER01 20090126 PUBLIC 002796753CER PREPRINT Hidden http://arxiv.org/pdf/0812.4006.pdf Preprint 1155581 SzGeCERN 20170221182353.0 arXiv oai:arXiv.org:0901.1804 arXiv:0901.1804 eng Ricciardi, Armando Guided resonances in photonic quasicrystals 2009 14 Jan 2009 Comments: 10 pages, 5 figures, 1 table In this paper, we report on the first evidence of guided resonances (GRs) in aperiodically-ordered photonic crystals, tied to the concept of "quasicrystals" in solid-state physics. Via a full-wave numerical study of the transmittance response and the modal structure of a photonic quasicrystal (PQC) slab based on a representative aperiodic geometry (Ammann-Beenker octagonal tiling), we demonstrate the possibility of exciting GR modes, and highlight similarities and differences with the periodic case. In particular, we show that, as for the periodic case, GRs arise from the coupling of the incident plane-wave with degenerate modes of the PQC slab that exhibit a matching symmetry in the spatial distribution, and can still be parameterized via a Fano-like model. Besides the phenomenological implications, our results may provide new degrees of freedom in the engineering of GRs, and pave the way for new developments and applications. LANL EDS arXiv physics.optics PREPRINT LANL EDS physics.optics Gallina, Ilaria Campopiano, Stefania Castaldi, Giuseppe Pisco, Marco Galdi, Vincenzo Cusano, Andrea http://arxiv.org/pdf/0901.1804.pdf Preprint n 200902 11 20090126 1437 CER01 20090126 PUBLIC 002799095CER PREPRINT Hidden 1164281 SzGeCERN 20170221182446.0 arXiv oai:arXiv.org:0902.4772 arXiv:0902.4772 eng Dong, Jian-Wen Localization characteristics of two-dimensional quasicrystals consisting of metal nanoparticles 2009 02 Mar 2009 Comments: 33 pages, 8 figures Using the eigen-decomposition method, we investigated the plasmonic modes in a two-dimensional quasicrystalline array of metal nanoparticles. Various properties of the plasmonic modes, such as their symmetry, radiation loss and spatial localization are studied. Some collective plasmonic modes are found to be leaky with out-of-plane radiation loss, but some modes can have very high fidelity. To facilitate the analysis on the complex behavior of the collective plasmonic modes, we considered a trajectory map in a three dimension parameter space defined by the frequency of the mode, the participation ratio of the mode that gives the spatial distribution, and the eigenvalue that is related to the inverse lifetime of the mode. With the help of the trajectory map method, we found that there are modes that are localized in some special ways and the plasmonic mode with highest spatial localization and highly fidelity is found to be a type of anti-phase ring modes. In general, the spatial decay behaviors of localized modes are highly dependent on mode patterns. There is no special relationship between the fidelity of the modes and their spatial localization. LANL EDS arXiv physics.optics PREPRINT LANL EDS physics.optics Fung, Kin Hung Chan, C T Wang, He-Zhou http://arxiv.org/pdf/0902.4772.pdf Preprint n 200909 11 20090302 2340 CER01 20090302 PUBLIC 002806333CER PREPRINT Hidden 1179307 SzGeCERN 20160429201422.0 arXiv oai:arXiv.org:0905.4048 arXiv:0905.4048 eng Bugarin, E P Perfect colourings of cyclotomic integers 2009 26 May 2009 Comments: 11 pages, 2 bw figures Perfect colourings of the rings of cyclotomic integers with class number one are studied. It is shown that all colourings induced by ideals (q) are chirally perfect, and vice versa. A necessary and sufficient condition for a colouring to be perfect is obtained, depending on the factorisation of q. This result yields the colour symmetry group H in general. Furthermore, the colour preserving group K is determined in all but finitely many cases. An application to colourings of quasicrystals is given. LANL EDS arXiv math.GR arXiv math.CO PREPRINT LANL EDS math.GR LANL EDS math.CO Peñas, M L A N de las Frettlöh, D n 200921 11 20090527 0903 CER01 20090527 PUBLIC 002822752CER PREPRINT Hidden http://arxiv.org/pdf/0905.4048.pdf Preprint 1192046 SzGeCERN 20170921222410.0 arXiv oai:arXiv.org:0907.3604 arXiv:0907.3604 eng Grundland, Mark Image Sampling with Quasicrystals 2009 22 Jul 2009 Comments: For a full resolution version of this paper, along with supplementary materials, please visit at http://www.Eyemaginary.com/Portfolio/Publications.html We investigate the use of quasicrystals in image sampling. Quasicrystals produce space-filling, non-periodic point sets that are uniformly discrete and relatively dense, thereby ensuring the sample sites are evenly spread out throughout the sampled image. Their self-similar structure can be attractive for creating sampling patterns endowed with a decorative symmetry. We present a brief general overview of the algebraic theory of cut-and-project quasicrystals based on the geometry of the golden ratio. To assess the practical utility of quasicrystal sampling, we evaluate the visual effects of a variety of non-adaptive image sampling strategies on photorealistic image reconstruction and non-photorealistic image rendering used in multiresolution image representations. For computer visualization of point sets used in image sampling, we introduce a mosaic rendering technique. LANL EDS Title has not been found in the knowledge base. Please add "SIGMA SYMMETRY INTEGRABILITY GEOM METHODS APPL" arXiv Computing and Computers arXiv cs.GR ARTICLE LANL EDS cs.CV LANL EDS cs.GR Patera, Jiri Masakova, Zuzana Dodgson, Neil A 10.3842/SIGMA.2009.075 075 SIGMA 5 (2009), 075, 23 pages Symmetry Integrability Geom. Methods Appl. 5 2009 n 200929 13 20090723 0907 CER01 20090723 PUBLIC 002834886CER ARTICLE Hidden http://arxiv.org/pdf/0907.3604.pdf Preprint 1192245 SzGeCERN 20170221194444.0 arXiv oai:arXiv.org:0907.3865 arXiv:0907.3865 eng Zito, Gianluigi Bandgap properties of low index contrast aperiodically ordered photonic quasicrystals 2009 23 Jul 2009 Comments: 8 pages, 4 figures. To be published in Microwave and Optical Technologies Letters We numerically analyze, using Finite Difference Time Domain simulations, the bandgap properties of photonic quasicrystals with a low index contrast. We compared 8-, 10- and 12-fold symmetry aperiodically ordered lattices with different spatial tiling. Our results show that tiling design, more than symmetry, determines the transmission properties of these structures. LANL EDS arXiv physics.optics PREPRINT LANL EDS physics.optics Rose, T Priya Di Gennaro, Emiliano Andreone, Antonello Santamato, Enrico Abbate, Giancarlo http://arxiv.org/pdf/0907.3865.pdf Preprint n 200929 11 20090723 0907 CER01 20090723 PUBLIC 002835085CER PREPRINT Hidden 1200019 SzGeCERN 20170221195850.0 DOI 10.1364/OE.17.019586 oai:arXiv.org:0908.1626 http://export.arxiv.org/oai2 2015-05-13 2015-05-14T05:21:45Z true arXiv arXiv:0908.1626 eng Gallina, Ilaria Guided resonances in point-defected photonic quasicrystals 2009 13 Aug 2009 13 p Comments: 10 pages, 7 figures, 1 table Comments: 13 pages, 12 figures, 1 table. Slight change in the title; major changes in the text and figures arXiv In this paper, we study the excitation of guided resonances (GRs) in photonic-crystal slabs based on point-defected aperiodically-ordered (quasicrystal-type) supercells. With specific reference to perforated-slab structures and the Ammann-Beenker octagonal lattice geometry, we carry out full-wave numerical studies of the plane-wave responses and of the underlying modal structures, which illustrate the representative effects induced by the introduction of symmetry-preserving and symmetry-breaking defects. Our results demonstrate that breaking the supercell mirror symmetries via the judicious introduction of point-defects enables for the excitation of otherwise uncoupled GRs, with control on the symmetry properties of their field distributions, thereby constituting an attractive alternative to those GR-engineering approaches based on the asymmetrization of the hole shape. In this framework, quasicrystal-type lattice geometries seem to be inherently suited, in view of the variety of inequivalent defect sites that they can offer. http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS arXiv physics.optics PREPRINT LANL EDS physics.optics Pisco, Marco Ricciardi, Armando Campopiano, Stefania Castaldi, Giuseppe Cusano, Andrea Galdi, Vincenzo http://arxiv.org/pdf/0908.1626.pdf Preprint n 200932 11 20090813 1203 CER01 20090813 PUBLIC 002841883CER PREPRINT Hidden 1200910 SzGeCERN 20170907220634.0 arXiv oai:arXiv.org:0908.2314 arXiv:0908.2314 eng Indelicato, Giuliana An algorithm for the arithmetic classification of multilattices 2009 18 Aug 2009 Comments: 21 pages A procedure for the construction and the classification of multilattices in arbitrary dimension is proposed. The algorithm allows to determine explicitly the location of the points of a multilattice given its space group, and to determine whether two multilattices are arithmetically equivalent. The algorithm is based on ideas from integer matrix theory, in particular the reduction to the Smith normal form. Among the applications of this procedure is a software package that allows the classification of complex crystalline structures and the determination of their space groups. Also, it can be used to determine the symmetry of regular systems of points in high dimension, with applications to the study of quasicrystals and sets of points with noncrystallographic symmetry in low dimension, such as viral capsid structures. LANL EDS arXiv Mathematical Physics and Mathematics arXiv math.MP PREPRINT LANL EDS math-ph LANL EDS math.MP n 200933 11 20090818 1206 CER01 20090818 PUBLIC 002842662CER PREPRINT Hidden http://arxiv.org/pdf/0908.2314.pdf Preprint 1206419 SzGeCERN 20160413124253.0 arXiv oai:arXiv.org:0909.2211 arXiv:0909.2211 eng Kirillov, Anatol N The valence bond solid in quasicrystals 2009 14 Sep 2009 Comments: Historical note This is a historical note. In 1989 we constructed a version of AKLT with unique ground state on a finite graph. Recently the paper became important for description of entanglement in VBS states. LANL EDS arXiv cond-mat.stat-mech arXiv math-ph arXiv math.MP arXiv quant-ph ARTICLE LANL EDS cond-mat.stat-mech LANL EDS math-ph LANL EDS math.MP LANL EDS quant-ph Korepin, Vladimir E ALGEBRA and ANALYSIS, vol 1, issue 2, page 47, 1989 [in Russian language] n 200937 13 20090914 1506 CER01 20090914 PUBLIC 002847575CER ARTICLE Hidden http://arxiv.org/pdf/0909.2211.pdf Preprint 1212630 SzGeCERN 20170922220314.0 arXiv oai:arXiv.org:0910.2415 arXiv:0910.2415 eng Durand, Bruno LIF Fixed-point tile sets and their applications 2009 14 Oct 2009 Comments: Long version of both conference results of DLT 2008 and ICALP 2009 An aperiodic tile set was first constructed by R. Berger while proving the undecidability of the domino problem. It turned out that aperiodic tile sets appear in many topics ranging from logic (the Entscheidungsproblem) to physics (quasicrystals). We present a new construction of an aperiodic tile set that is based on Kleene's fixed-point construction instead of geometric arguments. This construction is similar to J. von Neumann self-reproducing automata; similar ideas were also used by P. Gacs in the context of error-correcting computations. This construction it rather flexible, so it can be used in many ways: we show how it can be used to implement substitution rules, to construct strongly aperiodic tile sets (any tiling is far from any periodic tiling), to give a new proof for the undecidability of the domino problem and related results, characterize effectively closed 1D subshift it terms of 2D shifts of finite type (improvement of a result by M. Hochman), to construct a tile set which has only complex tilings, and to construct a ?robust? aperiodic tile set that does not have periodic (or close to periodic) tilings even if we allow some (sparse enough) tiling errors. For the latter we develop a hierarchical classification of points in random sets into islands of different ranks. Finally, we combine and modify our tools to prove our main result: there exists a tile set such that all tilings have high Kolmogorov complexity ev en if (sparse enough) tiling errors are allowed. LANL EDS arXiv Computing and Computers arXiv math.DS arXiv math.LO PREPRINT LANL EDS cs.CC LANL EDS math.DS LANL EDS math.LO Romashchenko, Andrei LIF Shen, Alexander LIF n 200941 11 20091014 1205 CER01 20091014 Comments: Long version of both conference results of DLT 2008 and ICALP 2009 PUBLIC 002852757CER PREPRINT Hidden http://arxiv.org/pdf/0910.2415.pdf Preprint 1234734 SzGeCERN 20170909020207.0 arXiv oai:arXiv.org:1001.3528 arXiv:1001.3528 eng Bücking, Ulrike Rigidity of quasicrystallic and Z^\gamma-circle patterns 2010 21 Jan 2010 Comments: 25 pages, 12 figures, pdfLaTeX The uniqueness of the orthogonal Z^\gamma-circle patterns as studied by Bobenko and Agafonov is shown, given the combinatorics and some boundary conditions. Furthermore we study (infinite) rhombic embeddings in the plane which are quasicrystallic, that is they have only finitely many different edge directions. Bicoloring the vertices of the rhombi and adding circles with centers at vertices of one of the colors and radius equal to the edge length leads to isoradial quasicrystallic circle patterns. We prove for a large class of such circle patterns which cover the whole plane that they are uniquely determined up to affine transformations by the combinatorics and the intersection angles. Combining these two results, we obtain the rigidity of large classes of quasicrystallic Z^\gamma-circle patterns. LANL EDS arXiv Mathematical Physics and Mathematics arXiv math.CO PREPRINT LANL EDS math.MG LANL EDS math.CO http://arxiv.org/pdf/1001.3528.pdf Preprint n 201003 11 20100121 1502 CER01 20100121 PUBLIC 002869748CER PREPRINT Hidden 1249047 SzGeCERN 20170904122241.0 DOI 10.1103/PhysRevA.82.035802 oai:arXiv.org:1003.2779 http://export.arxiv.org/oai2 2015-05-18 2015-05-19T05:21:14Z arXiv true arXiv arXiv:1003.2779 eng Law, K J H Stable structures with high topological charge in nonlinear photonic quasicrystals 2010 16 Mar 2010 mult. p arXiv Stable vortices with topological charge of 3 and 4 are examined numerically and analytically in photonic quasicrystals created by interference of 5 as well as 8 beams, in the cases of cubic as well as saturable nonlinearities. These structures are experimentally realizable, including a prototypical example of a stable charge 4 vortex. Direct numerical simulations corroborate the analytical and numerical linear stability analysis predictions. http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS arXiv Nonlinear Systems arXiv physics.optics PREPRINT LANL EDS nlin.PS LANL EDS physics.optics Saxena, Avadh Kevrekidis, P G Bishop, A R n 201011 11 20100316 2102 CER01 20100316 PUBLIC 002882499CER PREPRINT Hidden http://arxiv.org/pdf/1003.2779.pdf Preprint 1249898 SzGeCERN 20170907220139.0 arXiv oai:arXiv.org:1003.3574 arXiv:1003.3574 eng Klassert, Steffen Delone measures of finite local complexity and applications to spectral theory of one-dimensional continuum models of quasicrystals 2010 19 Mar 2010 Comments: 21 pages We study measures on the real line and present various versions of what it means for such a measure to take only finitely many values. We then study perturbations of the Laplacian by such measures. Using Kotani-Remling theory, we show that the resulting operators have empty absolutely continuous spectrum if the measures are not periodic. When combined with Gordon type arguments this allows us to prove purely singular continuous spectrum for some continuum models of quasicrystals. LANL EDS arXiv Mathematical Physics and Mathematics arXiv math.MP PREPRINT LANL EDS math-ph LANL EDS math.MP Lenz, Daniel Stollmann, Peter n 201011 11 20100319 2105 CER01 20100319 PUBLIC 002887528CER PREPRINT Hidden http://arxiv.org/pdf/1003.3574.pdf Preprint 1273013 SzGeCERN 20171103220819.0 DOI 10.1364/OE.18.017280 oai:arXiv.org:1006.3611 http://export.arxiv.org/oai2 2015-05-19 2015-05-21T07:57:24Z arXiv true arXiv arXiv:1006.3611 eng Pisco, Marco Tuning efficiency and sensitivity of guided resonances in photonic crystals and quasi-crystals: A comparative study 2010 21 Jun 2010 14 p Comments: 13 pages, 11 figures, 4 tables Comments: 14 pages, 11 figures, 4 tables; minor changes arXiv In this paper, we present a comparative study of the tuning efficiency and sensitivity of guided resonances (GRs) in photonic crystal (PC) holed slabs based on periodic and aperiodically-ordered unit cells, aimed at assessing the applicability of these important technology platforms to ultra-compact optical sensors and active devices. In particular, with specific reference to square-lattice periodic PCs and aperiodically-ordered Ammann-Beenker photonic quasi-crystals, we study the effects of the hole radius, slab thickness, and refractive index on the GR sensitivity and tunability with respect to variation in the hole refractive index. Finally, we carry out a theoretical and numerical analysis in order to correlate the GR shift with the field distribution of the unperturbed (air holes) structures. Our results indicate that the spatial arrangement of the holes may strongly influence the tuning and sensitivity efficiency, and provide new degrees of freedom and tools for the design and optimization of novel photonic devices for both sensing and telecommunication applications. http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS arXiv Other Fields of Physics PREPRINT LANL EDS physics.optics Ricciardi, Armando Gallina, Ilaria Castaldi, Giuseppe Campopiano, Stefania Cutolo, Antonello Cusano, Andrea Galdi, Vincenzo n 201025 11 20100621 2105 CER01 20100621 PUBLIC 002903865CER PREPRINT Hidden http://arxiv.org/pdf/1006.3611.pdf Preprint 1279471 SzGeCERN 20171103220034.0 arXiv oai:arXiv.org:1007.3555 arXiv:1007.3555 eng Florescu, Marian Complete Band Gaps in 2D Photonic Quasicrystals 2010 22 Jul 2010 8 p Comments: 8 pages, 8 figures We introduce a novel optimization method to design the first examples of photonic quasicrystals with substantial, complete photonic band gaps (PBGs): that is, a range of frequencies over which electromagnetic wave propagation is forbidden for all directions and polarizations. The method can be applied to photonic quasicrystals with arbitrary rotational symmetry; here, we illustrate the results for 5- and 8-fold symmetric quasicrystals. The optimized band gaps are highly isotropic, which may offer advantages over photonic crystals for certain applications. LANL EDS arXiv Other Fields of Physics ARTICLE LANL EDS physics.optics Torquato, Salvatore Steinhardt, Paul J 10.1103/PhysRevB.80.155112 155112 M. Florescu, S. Torquato, and P. J. Steinhardt, Phys. Rev. B 80, 155112 (2009) Phys. Rev. B 80 2009 n 201029 13 20100722 1201 CER01 20100722 PUBLIC 002909054CER ARTICLE Hidden http://arxiv.org/pdf/1007.3555.pdf Preprint 1291320 SzGeCERN 20170909120232.0 arXiv oai:arXiv.org:1009.2188 arXiv:1009.2188 eng Kozma, Gady Exponential Riesz bases, discrepancy of irrational rotations and BMO 2010 14 Sep 2010 Comments: 16 pages Matei and Meyer proved that `simple quasicrystals' are universal sets of sampling and interpolation for signals with a band-limited spectrum. We ask if the corresponding exponential system is a universal Riesz basis for appropriate multiband sets on the circle. We prove that the answer depends on a diophantine property of the quasicrystal. For the proof we extend to BMO a theorem of Kesten on the discrepancy of irrational rotations of the circle. LANL EDS arXiv Mathematical Physics and Mathematics PREPRINT LANL EDS math.CA Lev, Nir http://arxiv.org/pdf/1009.2188.pdf Preprint n 201037 11 20100914 2104 CER01 20100914 PUBLIC 002917863CER PREPRINT Hidden 1291457 SzGeCERN 20160413110700.0 arXiv oai:arXiv.org:1009.2351 arXiv:1009.2351 eng Poddubny, A N Wood anomalies in resonant photonic quasicrystals 2010 14 Sep 2010 Comments: 6 pages, 3 figures A theory of light diffraction from planar quasicrystalline lattice with resonant scatterers is presented. Rich structure, absent in the periodic case, is found in specular reflection spectra, and interpreted as a specific kind of Wood anomalies, characteristic for quasicrystals. The theory is applied to semiconductor quantum dots arranged in Penrose tiling. LANL EDS arXiv cond-mat.mes-hall arXiv physics.optics PREPRINT LANL EDS cond-mat.mes-hall LANL EDS physics.optics n 201037 11 20100914 2104 CER01 20100914 PUBLIC 002918000CER PREPRINT Hidden http://arxiv.org/pdf/1009.2351.pdf Preprint 1298107 SzGeCERN 20170909125011.0 arXiv oai:arXiv.org:1010.1086 arXiv:1010.1086 eng Bodini, Olivier Stochastic Flips on Two-letter Words 2010 07 Oct 2010 Comments: ANALCO'10 This paper introduces a simple Markov process inspired by the problem of quasicrystal growth. It acts over two-letter words by randomly performing \emph{flips}, a local transformation which exchanges two consecutive different letters. More precisely, only the flips which do not increase the number of pairs of consecutive identical letters are allowed. Fixed-points of such a process thus perfectly alternate different letters. We show that the expected number of flips to converge towards a fixed-point is bounded by $O(n^3)$ in the worst-case and by $O(n^{5/2}\ln{n})$ in the average-case, where $n$ denotes the length of the initial word. LANL EDS arXiv Mathematical Physics and Mathematics arXiv cond-mat.stat-mech arXiv cs.DM PREPRINT LANL EDS math.PR LANL EDS cond-mat.stat-mech LANL EDS cs.DM Fernique, Thomas Regnault, Damien http://arxiv.org/pdf/1010.1086.pdf Preprint n 201040 11 20101007 0906 CER01 20101007 PUBLIC 002922634CER PREPRINT Hidden 1301398 SzGeCERN 20170909134623.0 arXiv oai:arXiv.org:1010.3908 arXiv:1010.3908 eng Peñas, Ma Louise Antonette N De Las On Bravais Colorings Associated with Periodic and Non-Periodic Crystals 2010 20 Oct 2010 Comments: 29 pages, 4 figures, 2 tables In this work, a theory of color symmetry is presented that extends the ideas of traditional theories of color symmetry for periodic crystals to apply to non-periodic crystals. The color symmetries are associated to each of the crystalline sites and may correspond to different chemical species, various orientations of magnetic moments and colorings of a non-periodic tiling. In particular, we study the color symmetries of periodic and non-periodic structures via Bravais colorings of planar modules that emerge as the ring of integers in cyclotomic fields with class number one. Using an approach involving matrices, we arrive at necessary and sufficient conditions for determining the color symmetry groups and color fixing groups of the Bravais colorings associated with the modules M_n = Z[exp(2{\pi}i/n)], and list the findings for M_{15} = Z[exp(2{\pi}i/15)] and M_{16} = Z[exp({\pi}i/8)]. In the second part of the paper, we discuss magnetic point groups of crystal and quasicrystal structures and give some examples of structures whose magnetic point group symmetries are described by Bravais colorings of planar modules. LANL EDS arXiv Mathematical Physics and Mathematics PREPRINT LANL EDS math.RA Bugarin, Enrico Paolo C http://arxiv.org/pdf/1010.3908.pdf Preprint n 201042 11 20101021 0902 CER01 20101021 PUBLIC 002925273CER PREPRINT Hidden 1301742 SzGeCERN 20171103220709.0 arXiv oai:arXiv.org:1010.4274 arXiv:1010.4274 eng Zhukovsky, Sergei V All-optical diode action in asymmetric nonlinear photonic multilayers with perfect transmission resonances 2010 21 Oct 2010 Comments: 6 pages, 7 figures, revtex-4.1 Light propagation in asymmetric Kerr-nonlinear multilayers with perfect transmission resonances is theoretically investigated. It is found that hybrid Fabry-P\'erot/photonic-crystal structures of the type (BA)^k(AB)^k(AABB)^m exhibit both pronounced unidirectionality (due to strong spatial asymmetry of the resonant mode) and high transmission (due to the existence of a perfect transmission resonance). This results in nonlinear optical diode action with low reflection losses without need for a pumping beam or input pulse modulation. By slightly perturbing the perfect transmission resonance condition, the operating regime of the optical diode can be tuned, with a trade-off between minimizing the reflection losses and maximizing the frequency bandwidth where unidirectional transmission exists. Optical diode action is demonstrated in direct numerical simulation, showing >92% transmittance in one direction and about 22% in the other. The effect of perfect transmission resonance restoration induced by nonlinearity was observed analytically and numerically. The proposed geometry is shown to have advantages over previously reported designs based on photonic quasicrystals. LANL EDS arXiv Other Fields of Physics PREPRINT LANL EDS physics.optics Smirnov, Andrey G n 201042 11 20101022 0903 CER01 20101022 PUBLIC 002925589CER PREPRINT Hidden http://arxiv.org/pdf/1010.4274.pdf Preprint 1304930 SzGeCERN 20170909134804.0 arXiv oai:arXiv.org:1011.1001 arXiv:1011.1001 eng Loquias, Manuel Joseph C Colourings of lattices and coincidence site lattices 2010 05 Nov 2010 Comments: 9 pages, 6 figures The relationship between the coincidence indices of a lattice $\Gamma_1$ and a sublattice $\Gamma_2$ of $\Gamma_1$ is examined via the colouring of $\Gamma_1$ that is obtained by assigning a unique colour to each coset of $\Gamma_2$. In addition, the idea of colour symmetry, originally defined for symmetries of lattices, is extended to coincidence isometries of lattices. An example involving the Ammann-Beenker tiling is provided to illustrate the results in the quasicrystal setting. LANL EDS arXiv Mathematical Physics and Mathematics PREPRINT LANL EDS math.MG Zeiner, Peter http://arxiv.org/pdf/1011.1001.pdf Preprint n 201044 11 20101105 1203 CER01 20101105 PUBLIC 002928272CER PREPRINT Hidden 1308102 SzGeCERN 20170909134858.0 arXiv oai:arXiv.org:1011.4036 arXiv:1011.4036 eng Favorov, Sergey Bohr and Besicovitch almost periodic discrete sets and quasicrystals 2010 18 Nov 2010 Comments: 5 pages, bibliography 12 items A discrete set $A$ in the Euclidian space is almost periodic if the measure with the unite masses at points of the set is almost periodic in the weak sense. We investigate properties of such sets in the case when $A-A$ is discrete. In particular, if $A$ is a Bohr almost periodic set, we prove that $A$ is a union of a finite number of translates of a certain full--rank lattice. If $A$ is a Besicovitch almost periodic set, then there exists a full-rank lattice such that in most cases a nonempty intersection of its translate with $A$ is large. LANL EDS arXiv Mathematical Physics and Mathematics PREPRINT LANL EDS math.MG http://arxiv.org/pdf/1011.4036.pdf Preprint n 201046 11 20101118 2101 CER01 20101118 PUBLIC 002930942CER PREPRINT Hidden 1313888 SzGeCERN 20171103220100.0 arXiv oai:arXiv.org:1012.2526 arXiv:1012.2526 eng Deng, Zi-Lan In-plane plasmonic modes in a quasicrystalline array of metal nanoparticles 2010 14 Dec 2010 Comments: 20 pages, 4 figures We investigated the plasmonic modes in a two-dimensional quasicrystalline array of metal nanoparticles. The polarization of the modes is in the array plane. A simplified eigen-decomposition method is presented with the help of rotational symmetry. Two kinds of anti-phase ring modes with radial and tangential polarizations are of highest spatial localizations among all of plasmonic modes. For the leaky characteristic of the anti-phase ring modes, the highest fidelity mode is found to be tangential polarized mode in the quasicrystal array, whereas normal-to-plane polarized mode in the solo ring. The leaky characteristics and spatial localizations of other plasmonic modes are also studied, for example, collective vortex mode that may be potentially useful to form negative responses in plasmonic device, and collective radial mode that may be used to generate light sources with radial polarizations. LANL EDS arXiv Other Fields of Physics PREPRINT LANL EDS physics.optics Dong, Jian-Wen Wang, He-Zhou n 201050 11 20101214 1207 CER01 20101214 PUBLIC 002935486CER PREPRINT Hidden http://arxiv.org/pdf/1012.2526.pdf Preprint 1317641 SzGeCERN 20160413111245.0 arXiv oai:arXiv.org:1012.5138 arXiv:1012.5138 eng Haji-Akbari, Amir Disordered, Quasicrystalline and Crystalline Phases of Densely Packed Tetrahedra 2010 24 Dec 2010 26 p Comments: Article + supplementary information. 26 pages 11 figures All hard, convex shapes are conjectured by Ulam to pack more densely than spheres, which have a maximum packing fraction of {\phi} = {\pi}/\sqrt18 ~ 0.7405. For many shapes, simple lattice packings easily surpass this packing fraction. For regular tetrahedra, this conjecture was shown to be true only very recently; an ordered arrangement was obtained via geometric construction with {\phi} = 0.7786, which was subsequently compressed numerically to {\phi} = 0.7820. Here we show that tetrahedra pack much better than this, and in a completely unexpected way. Following a conceptually different approach, using thermodynamic computer simulations that allow the system to evolve naturally towards high-density states, we observe that a fluid of hard tetrahedra undergoes a first-order phase transition to a dodecagonal quasicrystal, which can be compressed to a packing fraction of {\phi} = 0.8324. By compressing a crystalline approximant of the quasicrystal, the highest packing fraction we obtain is {\phi} = 0.8503. If quasicrystal formation is suppressed, the system remains disordered, jams, and compresses to {\phi} = 0.7858. Jamming and crystallization are both preceded by an entropy-driven transition from a simple fluid of independent tetrahedra to a complex fluid characterized by tetrahedra arranged in densely packed local motifs that form a percolating network at the transition. The quasicrystal that we report represents the first exa mple of a quasicrystal formed from hard or non-spherical particles. Our results demonstrate that particle shape and entropy can produce highly complex, ordered structures. LANL EDS arXiv cond-mat.soft arXiv cond-mat.mtrl-sci arXiv cond-mat.stat-mech arXiv math.MG ARTICLE LANL EDS cond-mat.soft LANL EDS cond-mat.mtrl-sci LANL EDS cond-mat.stat-mech LANL EDS math.MG Engel, Michael Keys, Aaron S Zheng, Xiaoyu Petschek, Rolfe G Palffy-Muhoray, Peter Glotzer, Sharon C 773-777 Nature 462, 773--777 (2009) Nature 462 2009 n 201051 13 20101224 1205 CER01 20101224 PUBLIC 002938755CER ARTICLE Hidden http://arxiv.org/pdf/1012.5138.pdf Preprint 1328377 SzGeCERN 20160413233938.0 arXiv oai:arXiv.org:1102.1982 arXiv:1102.1982 eng Aristoff, David First Order Phase Transition in a Model of Quasicrystals 2011 11 Feb 2011 Comments: future versions available from http://www.ma.utexas.edu/users/radin/papers.html We introduce a family of two-dimensional lattice models of quasicrystals, using a range of square hard cores together with a soft interaction based on an aperiodic tiling set. Along a low temperature isotherm we find, by Monte Carlo simulation, a first order phase transition between disordered and quasicrystalline phases. LANL EDS arXiv cond-mat.stat-mech arXiv Mathematical Physics and Mathematics arXiv Mathematical Physics and Mathematics PREPRINT LANL EDS cond-mat.stat-mech LANL EDS math-ph LANL EDS math.MP Radin, Charles n 201106 11 20110211 2104 CER01 20110211 PUBLIC 002948670CER PREPRINT Hidden http://arxiv.org/pdf/1102.1982.pdf Preprint 1331028 SzGeCERN 20170909175252.0 arXiv oai:arXiv.org:1102.4246 arXiv:1102.4246 eng Atkinson, Bruce W Wavelets centered on a knot sequence: piecewise polynomial wavelets on a quasi-crystal lattice 2011 22 Feb 2011 Comments: 34 pages, 6 figures We develop a general notion of orthogonal wavelets `centered' on an irregular knot sequence. We present two families of orthogonal wavelets that are continuous and piecewise polynomial. As an application, we construct continuous, piecewise quadratic, orthogonal wavelet bases on the quasi-crystal lattice consisting of the $\tau$-integers where $\tau$ is the golden-mean. The resulting spaces then generate a multiresolution analysis of $L^2(\mathbf{R})$ with scaling factor $\tau$. LANL EDS Mathematical Physics and Mathematics arXiv PREPRINT math.NA LANL EDS Bruff, Derek O Geronimo, Jeffrey S Hardin, Douglas P http://arxiv.org/pdf/1102.4246.pdf Preprint n 201108 11 PREPRINT Hidden 1332735 SzGeCERN 20171103220633.0 arXiv oai:arXiv.org:1102.5406 arXiv:1102.5406 eng Rose, Priya Isotropic properties of the photonic band gap in quasicrystals with low-index contrast 2011 01 Mar 2011 Comments: 16 pages, 7 figures, submitted to PRB We report on the formation and development of the photonic band gap in two-dimensional 8-, 10- and 12-fold symmetry quasicrystalline lattices of low index contrast. Finite size structures made of dielectric cylindrical rods were studied and measured in the microwave region, and their properties compared with a conventional hexagonal crystal. Band gap characteristics were investigated by changing the direction of propagation of the incident beam inside the crystal. Various angles of incidence from 0 \degree to 30\degree were used in order to investigate the isotropic nature of the band gap. The arbitrarily high rotational symmetry of aperiodically ordered structures could be practically exploited to manufacture isotropic band gap materials, which are perfectly suitable for hosting waveguides or cavities. LANL EDS arXiv Other Fields of Physics PREPRINT LANL EDS physics.optics Di Gennaro, E Abbate, G Andreone, A http://arxiv.org/pdf/1102.5406.pdf Preprint n 201109 11 20110301 0902 CER01 20110301 PUBLIC 002951739CER PREPRINT Hidden 1347562 SzGeCERN 20170907220130.0 arXiv oai:arXiv.org:1104.5274 arXiv:1104.5274 eng Su, Xifeng de la Llave, Rafael http://arxiv.org/pdf/1104.5274.pdf Preprint n 201117 KAM theory for quasi-periodic equilibria in 1-D quasiperiodic media 29 Apr 2011 We consider Frenkel-Kontorova models corresponding to 1 dimensional quasicrystals. We present a KAM theory for quasi-periodic equilibria. The theorem presented has an \emph{a-posteriori} format. We show that, given an approximate solution of the equilibrium equation, which satisfies some appropriate non-degeneracy conditions, then, there is a true solution nearby. This solution is locally unique. Such a-posteriori theorems can be used to validate numerical computations and also lead immediately to several consequences a) Existence to all orders of perturbative expansion and their convergence b) Bootstrap for regularity c) An efficient method to compute the breakdown of analyticity. Since the system does not admit an easy dynamical formulation, the method of proof is based on developing several identities. These identities also lead to very efficient algorithms. LANL EDS Mathematical Physics and Mathematics arXiv Mathematical Physics and Mathematics arXiv Mathematical Physics and Mathematics arXiv math-ph LANL EDS math.DS LANL EDS math.MP LANL EDS 2011 PREPRINT 11 PREPRINT Hidden 1348148 SzGeCERN 20170907220137.0 arXiv oai:arXiv.org:1105.0095 arXiv:1105.0095 eng Baake, Michael Bielefeld Grimm, Uwe Milton Keynes http://arxiv.org/pdf/1105.0095.pdf Preprint n 201118 Kinematic Diffraction from a Mathematical Viewpoint 03 May 2011 Mathematical diffraction theory is concerned with the analysis of the diffraction image of a given structure and the corresponding inverse problem of structure determination. In recent years, the understanding of systems with continuous and mixed spectra has improved considerably. Simultaneously, their relevance has grown in practice as well. In this context, the phenomenon of homometry shows various unexpected new facets. This is particularly so for systems with stochastic components. After the introduction to the mathematical tools, we briefly discuss pure point spectra, based on the Poisson summation formula for lattice Dirac combs. This provides an elegant approach to the diffraction formulas of infinite crystals and quasicrystals. We continue by considering classic deterministic examples with singular or absolutely continuous diffraction spectra. In particular, we recall an isospectral family of structures with continuously varying entropy. We close with a summary of more recent results on the diffraction of dynamical systems of algebraic or stochastic origin. Comments: 30 pages, invited review LANL EDS Mathematical Physics and Mathematics arXiv cond-mat.dis-nn arXiv Mathematical Physics and Mathematics arXiv math-ph LANL EDS cond-mat.dis-nn LANL EDS math.MP LANL EDS 2011 PREPRINT 11 PREPRINT Hidden 1348854 SzGeCERN 20171103220138.0 DOI 10.1016/j.photonics.2012.02.003 oai:arXiv.org:1105.0736 http://export.arxiv.org/oai2 2015-05-28 2015-05-30T05:24:04Z arXiv true arXiv arXiv:1105.0736 eng Maksymov, Ivan Ferre-Borrull, Josep Pallares, Josep Marsal, Lluis F http://arxiv.org/pdf/1105.0736.pdf Preprint n 201118 Photonic stop bands in quasi-random nanoporous anodic alumina structures 05 May 2011 arXiv The existence of photonic stop bands in the self-assembled arrangement of pores in porous anodic alumina structures is investigated by means of rigorous 2D finite- difference time-domain calculations. Self-assembled porous anodic alumina shows a random distribution of domains, each of them with a very definite triangular pattern, constituting a quasi-random structure. The observed stop bands are similar to those of photonic quasicrystals or random structures. As the pores of nanoporous anodic alumina can be infiltrated with noble metals, nonlinear or active media, it makes this material very attractive and cost-effective for applications including inhibition of spontaneous emission, random lasing, LEDs and biosensors. http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS Other Fields of Physics arXiv physics.optics LANL EDS 2011 PREPRINT 11 PREPRINT Hidden 1351676 SzGeCERN 20171106203347.0 arXiv oai:arXiv.org:1105.3337 arXiv:1105.3337 eng Konevtsova, O V Rochal, S B Lorman, V L http://arxiv.org/pdf/1105.3337.pdf Preprint n 201120 Chiral quasicrystalline order in an exceptional family of viruses 18 May 2011 Understanding of virus capsid organization and self-assembly mechanisms helps to get an insight into the protein interactions which render virus infectious, but also to advance new methods in nanotechnology which use capsid self-assembly to produce virus-like nanoparticles. As in abiotic nanostructures, the obstacles along this way are related not only to the nanoscopic size of capsids but also to their unconventional topology and symmetry. In the present work on the example of exceptional families of viruses we : i) show the existence of a completely new type of organization, resulting in a chiral pentagonal quasicrystalline order of protein positions in a capsid with spherical topology and dodecahedral geometry; ii) generalize the classical theory of quasicrystals (QC) to explain this organization and demonstrate that a particular non-linear phason strain induces chirality in QC; and iii) establish the relation between chiral order and inhomogeneous buckling strain of the capsid shell. Comments: 8 pages, 2 figures LANL EDS Other Fields of Physics arXiv q-bio.SC arXiv physics.bio-ph LANL EDS q-bio.SC LANL EDS 2011 PREPRINT 11 PREPRINT Hidden 1361576 SzGeCERN 20160413233949.0 arXiv oai:arXiv.org:1106.4765 arXiv:1106.4765 eng Haji-Akbari, Amir Engel, Michael Glotzer, Sharon C http://arxiv.org/pdf/1106.4765.pdf Preprint n 201125 Phase Diagram of Hard Tetrahedra 24 Jun 2011 Advancements in the synthesis of faceted nanoparticles and colloids have spurred interest in the phase behavior of polyhedral shapes. Regular tetrahedra have attracted particular attention because they prefer local symmetries that are incompatible with periodicity. Two dense phases of regular tetrahedra have been reported recently. The densest known tetrahedron packing is achieved in a crystal of triangular bipyramids (dimers) with packing density 4000/4671=85.63%. In simulation a dodecagonal quasicrystal is observed; its approximant, with periodic tiling (3.4.3^2.4), can be compressed to a packing fraction of 85.03%. Here, we show that the quasicrystal approximant is more stable than the dimer crystal for packing densities below 84% using Monte Carlo computer simulations and free energy calculations. To carry out the free energy calculations, we use a variation of the Frenkel-Ladd method for anisotropic shapes and thermodynamic integration. The enhanced stability of the approximant can be attributed to a network substructure, which maximizes the free volume (and hence the 'wiggle room') available to the particles and facilitates correlated motion of particles, which further contributes to entropy and leads to diffusion for packing densities below 65%. The existence of a solid-solid transition between structurally distinct phases not related by symmetry breaking -- the approximant and the dimer crystal-- is unusual for hard particle systems. Comments: 11 pages, 10 figures LANL EDS cond-mat.soft arXiv cond-mat.mtrl-sci arXiv cond-mat.stat-mech arXiv Chemical Physics and Chemistry arXiv cond-mat.soft LANL EDS cond-mat.mtrl-sci LANL EDS cond-mat.stat-mech LANL EDS physics.chem-ph LANL EDS 2011 PREPRINT 11 PREPRINT Hidden 1371081 SzGeCERN 20170909234300.0 arXiv oai:arXiv.org:1107.5083 arXiv:1107.5083 eng Aliste-Prieto, José Almost periodic structures and the semiconjugacy problem 2011 27 Jul 2011 The description of almost periodic or quasiperiodic structures has a long tradition in mathematical physics, in particular since the discovery of quasicrystals in the early 80's. Frequently, the modelling of such structures leads to different types of dynamical systems which include, depending on the concept of quasiperiodicity being considered, skew products over quasiperiodic or almost-periodic base flows, mathematical quasicrystals or maps of the real line with almost-periodic displacement. An important problem in this context is to know whether the considered system is semiconjugate to a rigid translation. We solve this question in a general setting that includes all the above-mentioned examples and also allows to treat scalar differential equations that are almost-periodic both in space and time. To that end, we study a certain class of flows that preserve a one-dimensional foliation and show that a semiconjugacy to a minimal translation flow exists if and only if a boundedness condition, concerning the distance of orbits of the flow to those of the translation, holds. LANL EDS Mathematical Physics and Mathematics arXiv PREPRINT math.DS LANL EDS Jäger, Tobias http://arxiv.org/pdf/1107.5083.pdf Preprint n 201130 11 PREPRINT Hidden 1383439 SzGeCERN 20171103220301.0 DOI 10.1364/OE.19.023631 oai:arXiv.org:1109.3726 http://export.arxiv.org/oai2 2016-02-18 2016-02-18T06:29:01Z arXiv true arXiv arXiv:1109.3726 eng Liew, Seng Fatt Noh, Heeso Trevino, Jacob Negro, Luca Dal Cao, Hui Optics Express vol. 19 2011 23631-23642 Optics Express vol. 19, pp. 23631-23642 (2011) http://arxiv.org/pdf/1109.3726.pdf Preprint n 201138 Localized photonic bandedge modes and orbital angular momenta of light in a golden-angle spiral 20 Sep 2011 Comments: 12pages, 12 figures Comments: 12pages, 12 figures arXiv We present a numerical study on photonic bandgap and bandedge modes in the golden-angle spiral array of air cylinders in dielectric media. Despite the lack of long-range translational and rotational order, there is a large PBG for the TE polarized light. Due to spatial inhomogeneity in the air hole spacing, the bandedge modes are spatially localized by Bragg scattering from the parastichies in the spiral structure. They have discrete angular momenta that originate from different families of the parastichies whose numbers correspond to the Fibonacci numbers. The unique structural characteristics of the golden-angle spiral lead to distinctive features of the bandedge modes that are absent in both photonic crystals and quasicrystals. http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS Other Fields of Physics arXiv physics.optics LANL EDS 2011 PREPRINT 11 PREPRINT Hidden 1385847 SzGeCERN 20160413234034.0 arXiv oai:arXiv.org:1109.5983 arXiv:1109.5983 eng Kraus, Yaacov E Lahini, Yoav Ringel, Zohar Verbin, Mor Zilberberg, Oded http://arxiv.org/pdf/1109.5983.pdf Preprint n 201139 Topological States and Adiabatic Pumping in Quasicrystals 28 Sep 2011 The discovery of topological insulators has sparked considerable interest in the study of topological phases of matter. The hallmark of these novel phases is the emergence of topologically protected boundary phenomena, e.g. quantum pumping, surface states related to exotic models from particle physics, and quasi-particles with non-Abelian statistics. Yet, realizations of these phases of matter are scarce. Moreover, one-dimensional systems without any additional symmetries are considered to lack such topological phenomena. Here we show, both theoretically and experimentally, that quasicrystals reveal new types of topological phases. We demonstrate that one-dimensional quasicrystals exhibit topological properties that were, thus far, thought to be limited to two-dimensional systems. Using photonic quasicrystals, we observe localized boundary states, which manifest these topological properties. These topological boundary states are used to realize an adiabatic optical pumping effect in which photons are uni-directionally pumped across the sample. Generalization to various types of quasicrystals and higher dimensions are also discussed, suggesting the existence of topological effects on surfaces of three-dimensional quasicrystals. This work opens a path to realizing new types of topological phases, and provides new insights to the physics of quasicrystals and topological insulators. Comments: 7 pages, 2 figures, 2 appendices. Comments are welcome LANL EDS cond-mat.mes-hall arXiv General Theoretical Physics arXiv cond-mat.mes-hall LANL EDS quant-ph LANL EDS 2011 PREPRINT 11 PREPRINT Hidden 1393290 SzGeCERN 20170907220502.0 arXiv oai:arXiv.org:1110.5219 Inspire 1117231 arXiv:1110.5219 eng IPPP-11-66 DCPT-11-132 Dechant, Pierre-Philippe Boehm, Celine Twarock, Reidun http://arxiv.org/pdf/1110.5219.pdf Preprint n 201143 Novel Kac-Moody-type affine extensions of non-crystallographic Coxeter groups 25 Oct 2011 Motivated by recent results in mathematical virology, we present novel asymmetric Z[tau]-integer-valued affine extensions of the non-crystallographic Coxeter groups H_2, H_3 and H_4 derived in a Kac-Moody-type formalism. In particular, we show that the affine reflection planes which extend the Coxeter group H_3 generate (twist) translations along 2-, 3- and 5-fold axes of icosahedral symmetry and classify these translations in terms of Fibonacci recursion relations, thus providing a framework to explain results of Keef et al and Wardman at the group level. Finally, we extend this classification to the case of the non-crystallographic Coxeter groups H_2 and H_4. These results should have applications in physics (quasicrystals), biology (viruses) and chemistry (fullerenes). Comments: 21 pages, 5 figures LANL EDS Mathematical Physics and Mathematics arXiv Mathematical Physics and Mathematics arXiv math-ph LANL EDS math.MP LANL EDS 2011 PREPRINT 11 PREPRINT Hidden 1393296 SzGeCERN 20170907220502.0 DOI 10.1063/1.4820441 oai:arXiv.org:1110.5228 http://export.arxiv.org/oai2 2013-10-22 2013-10-22T02:02:49Z arXiv true arXiv Inspire 1120308 arXiv:1110.5228 eng IPPP-11-65 DCPT-11-130 Dechant, Pierre-Philippe Boehm, Celine Twarock, Reidun J. Math. Phys. 54 2013 093508 J. Math. Phys. 54, 093508 (2013) http://arxiv.org/pdf/1110.5228.pdf Preprint n 201143 13 ARTICLE Hidden Affine extensions of non-crystallographic Coxeter groups induced by projection 2013 25 Oct 2011 In this paper, we show that affine extensions of non-crystallographic Coxeter groups can be derived via Coxeter-Dynkin diagram foldings and projections of the root systems E_8, D_6 and A_4. Using the known extensions for these root systems, we induce affine extensions of the non-crystallographic groups H_4, H_3 and H_2, and show that they correspond to Kac-Moody-type extensions considered in Dechant et al. This class of extensions was motivated by physical applications in icosahedral systems in biology (viruses), physics (quasicrystals) and chemistry (fullerenes); the connection with the affine extension of E_8 derived here suggests potential for high energy physics applications. The invertibility of the projection suggests a generalisation of Cartan matrices by relaxing some of the usual requirements. Comments: 23 pages, 9 figures LANL EDS Mathematical Physics and Mathematics arXiv Mathematical Physics and Mathematics arXiv ARTICLE math-ph LANL EDS math.MP LANL EDS 1394193 SzGeCERN 20171101155444.0 arXiv oai:arXiv.org:1110.6142 arXiv:1110.6142 eng Korepin, Vladimir YITP, Stony Brook Gaehler, Franz Mathematics, University of Bielefeld Rhyner, Jakob United Nations University, Institute for Environment and Human Security Acta Crystallographica Section A 1988 A44 Acta Crystallographica Section A (1988) A44, pages 667-672 http://arxiv.org/pdf/1110.6142.pdf Preprint n 201143 Quasiperiodic Tilings: A Generalized Grid--Projection Method 28 Oct 2011 9 p In 1988 we discovered generalized grid--projection method. Since then the method proved to be useful for description of symmetries of quasicrystals also for analysis of interacting spins. Comments: 9 pages, 2 figures LANL EDS Title has not been found in the knowledge base. Please add "ACTA CRYSTALLOGRAPHICA SECTION A" Chemical Physics and Chemistry arXiv cond-mat.mtrl-sci arXiv Mathematical Physics and Mathematics arXiv physics.chem-ph LANL EDS cond-mat.mtrl-sci LANL EDS math.MG LANL EDS 2011 ARTICLE 13 Article Hidden 1395008 SzGeCERN 20170907220536.0 arXiv oai:arXiv.org:1110.6894 arXiv:1110.6894 eng Yessen, W N http://arxiv.org/pdf/1110.6894.pdf Preprint n 201144 On the spectrum of 1D quantum Ising quasicrystal 01 Nov 2011 We consider one dimensional quantum Ising spin-1/2 chains with two-valued nearest neighbor couplings arranged in a quasi-periodic sequence, with uniform, transverse magnetic field. By employing the Jordan-Wigner transformation of the spin operators to spinless fermions, the energy spectrum can be computed exactly on a finite lattice. By employing the transfer matrix technique and investigating the dynamics of the corresponding trace map, we show that in the thermodynamic limit the energy spectrum is a Cantor set of zero Lebesgue measure. Moreover, we show that local Hausdorff dimension is continuous and nonconstant over the spectrum. This forms a rigorous counterpart of numerous numerical studies. Comments: 29 pages LANL EDS Mathematical Physics and Mathematics arXiv cond-mat.stat-mech arXiv Mathematical Physics and Mathematics arXiv Mathematical Physics and Mathematics arXiv Mathematical Physics and Mathematics arXiv math-ph LANL EDS cond-mat.stat-mech LANL EDS math.DS LANL EDS math.MP LANL EDS math.SP LANL EDS 2011 PREPRINT 11 PREPRINT Hidden 1403848 SzGeCERN 20170910050500.0 arXiv oai:arXiv.org:1111.7297 arXiv:1111.7297 eng Fernique, Thomas Stochastic Flips on Dimer Tilings 2011 01 Dec 2011 Comments: 13 pages, 10 figures; DMTCS Proceedings, 21st International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'10), 2010 This paper introduces a Markov process inspired by the problem of quasicrystal growth. It acts over dimer tilings of the triangular grid by randomly performing local transformations, called {\em flips}, which do not increase the number of identical adjacent tiles (this number can be thought as the tiling energy). Fixed-points of such a process play the role of quasicrystals. We are here interested in the worst-case expected number of flips to converge towards a fixed-point. Numerical experiments suggest a bound quadratic in the number n of tiles of the tiling. We prove a O(n^2.5) upper bound and discuss the gap between this bound and the previous one. We also briefly discuss the average-case. LANL EDS Mathematical Physics and Mathematics arXiv cond-mat.stat-mech arXiv Mathematical Physics and Mathematics arXiv PREPRINT math.PR LANL EDS cond-mat.stat-mech LANL EDS cs.DM LANL EDS Regnault, Damien http://arxiv.org/pdf/1111.7297.pdf Preprint n 201148 11 Comments: 13 pages, 10 figures; DMTCS Proceedings, 21st International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'10), 2010 PREPRINT Hidden 1415559 SzGeCERN 20171103220310.0 DOI 10.1088/0031-8949/2012/T149/014035 oai:arXiv.org:1201.2254 http://export.arxiv.org/oai2 2015-06-03 2015-06-04T05:22:17Z arXiv true arXiv arXiv:1201.2254 eng Zeng, Jianhua Malomed, Boris A http://arxiv.org/pdf/1201.2254.pdf Preprint n 201202 Two-dimensional solitons and vortices in media with incommensurate linear and nonlinear lattice potentials 12 Jan 2012 Comments: 8 pages, 11 figures. Accepted for a Special issue on Photonics of Physica Scripta Comments: 8 pages, 11 figures. Accepted for a Special issue on Photonics of Physica Scripta arXiv We construct families of ordinary and gap solitons (GSs), including solitary vortices, in the two-dimensional (2D) system based on the nonlinear-Schr\"Aodinger/Gross-Pitaevskii equation with the 2D or quasi-1D (Q1D) periodic linear potential, combined with the periodic modulation of the cubic nonlinearity (also in the 2D or Q1D form), which is, generally, incommensurate with the linear potential, thus forming a \nonlinear quasicrystal". Stable vortices are built as complexes of four peaks with the separation between them equal to the double period of the linear potential. The system may be realized in photonic crystals or Bose-Einstein condensates (BECs). The variational approximation (VA) is applied to ordinary solitons (residing in the semi-infinite gap), and numerical methods are used to construct solitons of all the types. Stability regions are identified for soliton families in all the versions of the model. http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS Other Fields of Physics arXiv Nonlinear Systems arXiv physics.optics LANL EDS 2012 PREPRINT 11 PREPRINT Hidden 1423488 SzGeCERN 20170907220421.0 arXiv oai:arXiv.org:1202.2240 arXiv:1202.2240 eng Gaehler, Franz Hunton, John Kellendonk, Johannes http://arxiv.org/pdf/1202.2240.pdf Preprint n 201207 Integral cohomology of rational projection method patterns 13 Feb 2012 We study the cohomology and hence K-theory of the aperiodic tilings formed by the so called `cut and project' method, i.e., patterns in d dimensional Euclidean space which arise as sections of higher dimensional, periodic structures. They form one of the key families of patterns used in quasicrystal physics, where their topological invariants carry quantum mechanical information. Our work develops both a theoretical framework and a practical toolkit for the discussion and calculation of their integral cohomology, and extends previous work that only successfully addressed rational cohomological invariants. Our framework unifies the several previous methods used to study the cohomology of these patterns. We obtain explicit calculational results for the main examples of icosahedral patterns in R^3 -- the Danzer tiling, the Ammann-Kramer tiling and the Canonical and Dual Canonical D_6 tilings -- as well as results for many of the better known 2 dimensional examples. Comments: Extends, corrects and replaces 2005 preprint math-ph/0505048 'Torsion in Tiling Homology and Cohomology' LANL EDS Mathematical Physics and Mathematics arXiv Mathematical Physics and Mathematics arXiv Mathematical Physics and Mathematics arXiv Mathematical Physics and Mathematics arXiv math.KT LANL EDS math-ph LANL EDS math.AT LANL EDS math.MP LANL EDS 2012 PREPRINT 11 PREPRINT Hidden 1431081 SzGeCERN 20170907220703.0 arXiv oai:arXiv.org:1203.2221 arXiv:1203.2221 eng Yessen, W N http://arxiv.org/pdf/1203.2221.pdf Preprint n 201211 Properties of 1D classical and quantum Ising quasicrystals: rigorous results 13 Mar 2012 In this paper we consider one-dimensional classical and quantum spin-1=2 quasiperiodic Ising chains, with two-valued nearest neighbor interaction modulated by a Fibonacci substitution sequence on two letters. In the quantum case, we investigate the energy spectrum of the Ising Hamiltonian, in presence of constant transverse magnetic field, by employing the techniques that were developed in our previous work. In the classical case, we investigate and prove analyticity of the free energy function when the magnetic field, together with interaction strength couplings, is modulated by the same Fibonacci substitution (thus proving absence of phase transitions of any order at finite temperature). We also investigate the distribution of Lee-Yang zeros of the partition function in the complex magnetic field regime, and prove its Cantor set structure (together with some additional qualitative properties), thus providing a rigorous justification for the observations in some previous works. In both, quantum and classical models, we concentrate on the ferromagnetic class. Comments: 29 pages, 84 references LANL EDS Mathematical Physics and Mathematics arXiv cond-mat.dis-nn arXiv cond-mat.stat-mech arXiv Mathematical Physics and Mathematics arXiv math-ph LANL EDS cond-mat.dis-nn LANL EDS cond-mat.stat-mech LANL EDS math.MP LANL EDS 2012 PREPRINT 11 PREPRINT Hidden 1432765 SzGeCERN 20170907220743.0 arXiv oai:arXiv.org:1203.3646 arXiv:1203.3646 eng Suto, Andras http://arxiv.org/pdf/1203.3646.pdf Preprint n 201212 Schroedinger difference equation with deterministic ergodic potentials 19 Mar 2012 We review the recent developments in the theory of the one-dimensional tight-binding Schr\"odinger equation for a class of deterministic ergodic potentials. In the typical examples the potentials are generated by substitutional sequences, like the Fibonacci or the Thue-Morse sequence. We concentrate on rigorous results which will be explained rather than proved. The necessary mathematical background is provided in the text. Comments: 51 pages LANL EDS Title has not been found in the knowledge base. Please add "" Mathematical Physics and Mathematics arXiv cond-mat.stat-mech arXiv Mathematical Physics and Mathematics arXiv math-ph LANL EDS cond-mat.stat-mech LANL EDS math.MP LANL EDS . 1995 Beyond Quasicrystals, eds. F. Axel & D. Gratias, Springer-Verlag/Les Editions de Physique 1995, pp. 481-549 2012 ARTICLE 13 ARTICLE Hidden 1443203 SzGeCERN 20170910091159.0 arXiv oai:arXiv.org:1204.4904 arXiv:1204.4904 eng Lawton, Wayne Spectral Envelopes - A Preliminary Report 2012 24 Apr 2012 Comments: To appear in Proceedings the Annual Meeting in Mathematics, Bangkok, Thailand, April 12, 2012. Sponsored by the Center for Promotion of Mathematical Research of Thailand The spectral envelope S(F) of a subset of integers is the set of probability measures on the circle group that are weak star limits of squared moduli of trigonometric polynomials with frequencies in F. Fourier transforms of these measures are positive and supported in F - F but the converse generally fails. The characteristic function chiF of F is a binary sequence whose orbit closure gives a symbolic dynamical system O(F). Analytic properties of S(F) are related to dynamical properties of chiF. The Riemann-Lebesque lemma implies that if chiF is minimal, then S(F) is convex and hence S(F) is the closure of the convex hull of its extreme points Se(F). In this paper we (i) review the relationship between these concepts and the special case of the still open 1959 Kadison-Singer problem called Feichtinger's conjecture for exponential functions, (ii) partially characterize of elements in Se(F), for minimal chiF, in terms of ergodic properties of (O(F),lambda) where lambda is a shift invariant probability measure whose existence in ensured by the 1937 Krylov-Bogoyubov theorem, (iii) refine previous numerical studies of the Morse-Thue minimal binary sequence by exploiting a new MATLAB algorithm for computing smallest eigenvalues of 4,000,000 x 4,000,000 matrices, (iv) describe recent results characterizing S(F) for certain Bohr sets F related to quasicrystals, (v) extend these concepts to general discrete groups including those with Kazhdan's T-property, such as SL(n,Z), n > 2, which can be characterized by several equivalent properties such as: any sequence of positive definite functions converging to 1 uniformly on compact subsets converges uniformly. This exotic property may be useful to construct a counterexample to the generalization of Feichtinger's conjecture and hence to provide a no answer to the question of Kadison and Singer whcih they themselves tended to suspect. LANL EDS Mathematical Physics and Mathematics arXiv PREPRINT math.FA LANL EDS http://arxiv.org/pdf/1204.4904.pdf Preprint n 201217 11 Comments: To appear in Proceedings the Annual Meeting in Mathematics, Bangkok, Thailand, April 12, 2012. Sponsored by the Center for Promotion of Mathematical Research of Thailand PREPRINT Hidden 1449892 SzGeCERN 20171106195445.0 DOI 10.1088/0031-9120/47/5/568 oai:arXiv.org:1205.3858 http://export.arxiv.org/oai2 2015-06-05 2015-06-06T05:23:26Z arXiv true arXiv arXiv:1205.3858 eng Balazovic, Marek Tomasik, Boris http://arxiv.org/pdf/1205.3858.pdf Preprint n 201220 Mpemba Effect, Shechtman's Quasicrystals and Students' Exploring Activities 18 May 2012 arXiv In the 1960s, Tanzanian student Erasto Mpemba and his teacher published an article with the title "Cool" in the journal Physics Education (Mpemba, E. B. - Osborne, D. G.: Cool?. In: Physics Education, vol.4, 1969, pp. 172-175.). In this article they claimed that hot water freezes faster than cold water. The article raised not only a wave of discussions, and other articles about this topic, but also a whole series of new experiments, which should verify this apparent thermodynamic absurdity and find an adequate explanation. Here we give a review with references to explanations and we bring some proposals for experimental student work in this area. We introduce Mpemba Effect not only as a paradoxical physics phenomenon, but we shall present a strong educational message that the Mpemba story brings to the teachers and their students. This message also creates a bridge between this phenomenon and the discovery for which the 2011 Nobel Prize in Chemistry was awarded. It leads to critical adoption of traditional knowledge and encourages resilience in investigative exploration of new things. http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS Other Fields of Physics arXiv Other Fields of Physics arXiv physics.ed-ph LANL EDS physics.pop-ph LANL EDS 2012 PREPRINT 11 PREPRINT Hidden 1471142 SzGeCERN 20170907220920.0 DOI 10.1007/s00006-013-0422-4 oai:arXiv.org:1207.5005 http://export.arxiv.org/oai2 2016-07-13 2016-07-14T05:19:24Z arXiv true arXiv Inspire 1244672 arXiv:1207.5005 eng IPPP-12-49 DCPT-12-98 Dechant, Pierre-Philippe A Clifford algebraic framework for Coxeter group theoretic computations 2012 01 Aug 2012 Comments: Best Paper Award at AGACSE 2012, La Rochelle, France; 14 pages, 3 figures Comments: Best Paper Award at AGACSE 2012, La Rochelle, France; 18 pages, 4 figures, 2 tables; accepted in Advances in Applied Clifford Algebras arXiv Real physical systems with reflective and rotational symmetries such as viruses, fullerenes and quasicrystals have recently been modeled successfully in terms of three-dimensional (affine) Coxeter groups. Motivated by this progress, we explore here the benefits of performing the relevant computations in a Geometric Algebra framework, which is particularly suited to describing reflections. Starting from the Coxeter generators of the reflections, we describe how the relevant chiral (rotational), full (Coxeter) and binary polyhedral groups can be easily generated and treated in a unified way in a versor formalism. In particular, this yields a simple construction of the binary polyhedral groups as discrete spinor groups. These in turn are known to generate Lie and Coxeter groups in dimension four, notably the exceptional groups D_4, F_4 and H_4. A Clifford algebra approach thus reveals an unexpected connection between Coxeter groups of ranks 3 and 4. We finally discuss how to extend these considerations and computations to the Conformal Geometric Algebra setup. http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS Mathematical Physics and Mathematics arXiv cond-mat.mtrl-sci arXiv Mathematical Physics and Mathematics arXiv Other Fields of Physics arXiv PREPRINT math-ph LANL EDS cond-mat.mtrl-sci LANL EDS math.MP LANL EDS physics.bio-ph LANL EDS Volume 2014 Advances in Applied Clifford Algebras, March 2014, Volume 24, Issue 1, pp 89-108 http://arxiv.org/pdf/1207.5005.pdf Preprint n 201231 11 PREPRINT Hidden 1495017 SzGeCERN 20160413100434.0 oai:arXiv.org:1211.4476 http://export.arxiv.org/oai2 2012-11-20 2012-11-20T12:24:37Z arXiv true arXiv Inspire 1203375 arXiv:1211.4476 eng Verbin, Mor Kraus, Yaacov E Zilberberg, Oded Lahini, Yoav Silberberg, Yaron http://arxiv.org/pdf/1211.4476.pdf Preprint n 201247 Observation of Topological Phase Transitions in Photonic Quasicrystals 20 Nov 2012 Topological insulators and topological superconductors are distinguished by their bulk phase transitions and gapless states at a sharp boundary with the vacuum. Quasicrystals have recently been found to be topologically nontrivial. In quasicrystals, the bulk phase transitions occur in the same manner as standard topological materials, but their boundary phenomena are more subtle. In this work we directly observe bulk phase transitions, using photonic quasicrystals, by constructing a smooth boundary between topologically-distinct one-dimensional quasicrystals. Moreover, we use the same method to experimentally verify the topological equivalence between the Harper and Fibonacci quasicrystals. Comments: 7 pages, 6 figures, 2 appendices. Comments are welcome LANL EDS cond-mat.mes-hall arXiv General Theoretical Physics arXiv Other Fields of Physics arXiv cond-mat.mes-hall LANL EDS physics.optics LANL EDS quant-ph LANL EDS 2012 PREPRINT 11 PREPRINT Hidden 1503454 SzGeCERN 20171105115753.0 oai:arXiv.org:1212.3326 http://export.arxiv.org/oai2 2012-12-17 2013-01-07T15:29:24Z arXiv true arXiv arXiv:1212.3326 eng Jiang, Kai Zhang, Pingwen http://arxiv.org/pdf/1212.3326.pdf Preprint n 201301 Numerical Methods for Quasicrystals 17 Dec 2012 A new projection method, implemented in higher-dimensional reciprocal space, is developed to compute quasicrystals. The approach enables us to represent quasicrystals as periodic structures in higher-dimensional space. A proposed projective matrix can project a higher-dimensional periodic structure into a quasicrystal in physical space. Compared with the traditional crystalline approximant method, the projection method overcomes the restrictions of the Simultaneous Diophantine Approximation, and can use periodic boundary conditions conveniently. Meanwhile, the proposed method can efficiently reduce the computational complexity through implementing in a unit cell and using pseudospectral method. By applying the projection method to the Lifshitz-Petrich model, we can compute quasicrystals rather than crystalline approximants, maintaining the rotational symmetry accurately. More significantly, the algorithm can calculate the free energy density to high precision. Comments: 26 pages, 8 figures, 5 tables LANL EDS Other Fields of Physics arXiv Mathematical Physics and Mathematics arXiv Mathematical Physics and Mathematics arXiv physics.comp-ph LANL EDS math-ph LANL EDS math.MP LANL EDS 2012 PREPRINT 11 PREPRINT Hidden 1514967 SzGeCERN 20160412220922.0 DOI 10.1103/PhysRevLett.110.255503 oai:arXiv.org:1302.2592 http://export.arxiv.org/oai2 2013-06-24 2013-06-24T02:03:30Z arXiv true arXiv arXiv:1302.2592 eng Reinhardt, Aleks Romano, Flavio Doye, Jonathan P K Phys. Rev. Lett. 110 2013 255503 Phys. Rev. Lett. 110, 255503 (2013) http://arxiv.org/pdf/1302.2592.pdf Preprint n 201306 13 ARTICLE Hidden Computing phase diagrams for a quasicrystal-forming patchy-particle system 12 Feb 2013 We introduce an approach to computing the free energy of quasicrystals, which we use to calculate equilibrium phase diagrams for systems of two-dimensional patchy particles with five regularly arranged patches that have previously been shown to form dodecagonal quasicrystals. We find that the quasicrystal is a thermodynamically stable phase for a wide range of conditions and remains a robust feature of the system as the potential's parameters are varied. We also demonstrate that the quasicrystal is entropically stabilised over its crystalline approximants. LANL EDS cond-mat.stat-mech arXiv cond-mat.soft arXiv Chemical Physics and Chemistry arXiv ARTICLE cond-mat.stat-mech LANL EDS cond-mat.soft LANL EDS physics.chem-ph LANL EDS 2013 1558862 SzGeCERN 20170907220537.0 DOI 10.1016/j.indag.2013.07.003 oai:arXiv.org:1306.6698 http://export.arxiv.org/oai2 2014-08-06 2014-08-06T02:03:32Z arXiv true arXiv arXiv:1306.6698 eng Au-Yang, Helen Perk, Jacques H H Indagationes Mathematicae 24 2013 996-1017 Indagationes Mathematicae 24 (2013) 996-1017 http://arxiv.org/pdf/1306.6698.pdf Preprint n 201326 Quasicrystals -- The impact of N.G. de Bruijn 27 Jun 2013 33 p In this paper we put the work of Professor N.G. de Bruijn on quasicrystals in historical context. After briefly discussing what went before, we shall review de Bruijn's work together with recent related theoretical and experimental developments. We conclude with a discussion of Yang-Baxter integrable models on Penrose tilings, for which essential use of de Bruijn's work has been made. Comments: pdfLaTeX, 33 pages, 15 figures, submitted to Indagationes Mathematicae LANL EDS Mathematical Physics and Mathematics arXiv cond-mat.stat-mech arXiv Mathematical Physics and Mathematics arXiv Mathematical Physics and Mathematics arXiv Other Fields of Physics arXiv math-ph LANL EDS cond-mat.stat-mech LANL EDS math.HO LANL EDS math.MP LANL EDS physics.hist-ph LANL EDS 2013 PREPRINT 11 PREPRINT Hidden 1559636 SzGeCERN 20160412220753.0 DOI 10.1140/epje/i2012-12113-y oai:arXiv.org:1307.0621 http://export.arxiv.org/oai2 2013-07-03 2013-07-04T02:07:46Z arXiv true arXiv arXiv:1307.0621 eng Tanaka, Hajime http://arxiv.org/pdf/1307.0621.pdf Preprint n 201326 Bond orientational ordering in liquids: Towards a unified description of water-like anomalies, liquid-liquid transition, glass transition, and crystallization 02 Jul 2013 85 p There are at least three fundamental states of matter, depending upon temperature and pressure: gas, liquid, and solid (crystal). These states are separated by first-order phase transitions between them. In both gas and liquid phases the complete translational and rotational symmetry exist, whereas in a solid phase both symmetries are broken. In intermediate phases between liquid and solid, which include liquid crystal and plastic crystal phases, only one of the two symmetries is preserved. Among the fundamental states of matter, the liquid state is most poorly understood. We argue that it is crucial for a better understanding of liquid to recognize that a liquid generally has a tendency to have local structural order and its presence is intrinsic and universal to any liquid. Such structural ordering is a consequence of many body correlations, more specifically, bond angle correlations, which we believe are crucial for the description of the liquid state. We show that this physical picture may naturally explain difficult unsolved problems associated with the liquid state, such as anomalies of water-type liquids (water, Si, Ge, ...), liquid-liquid transition, liquid-glass transition, crystallization and quasicrystal formation, in a unified manner. In other words, we need a new order parameter representing low local free-energy configuration, which is bond orientational order parameter in many cases, in addition to density order parameter for the physical description of these phenomena. Here we review our two-order-parameter model of liquid and consider how transient local structural ordering is linked to all of the above-mentioned phenomena. The relationship between these phenomena are also discussed. Comments: Colloquium paper, 85 pages, 62 figures LANL EDS cond-mat.soft arXiv cond-mat.dis-nn arXiv cond-mat.mtrl-sci arXiv cond-mat.stat-mech arXiv Chemical Physics and Chemistry arXiv cond-mat.soft LANL EDS cond-mat.dis-nn LANL EDS cond-mat.mtrl-sci LANL EDS cond-mat.stat-mech LANL EDS physics.chem-ph LANL EDS Eur. Phys. J. E 35 2012 113 Eur. Phys. J. E 35, 113 (2012) 2013 ARTICLE 13 Article Hidden 1600700 SzGeCERN 20171103220819.0 oai:arXiv.org:1309.3286 http://export.arxiv.org/oai2 2013-09-16 2013-09-16T02:03:36Z arXiv true arXiv arXiv:1309.3286 eng Kasture, Sachin R, Ajith P Yallapragada, V J Patil, Raj V., Nikesh V Mulay, Gajendra Gopal, Achanta Venu http://arxiv.org/pdf/1309.3286.pdf Preprint n 201337 Plasmonic quasicrystals for designable ultra broadband transmission enhancement and second harmonic generation 12 Sep 2013 10 p Quasi-crystals are intriguing as they exhibit rotational symmetry and long range ordering but lack translational symmetry. 2-dimensional metal-dielectric patterns are interesting to make use of surface plasmon polariton (SPP) mediated local field enhancement and for near dispersionless SPP modes. In plasmonic crystals, the orientation and periodicity of the pattern dictate the polarization response and the discrete plasmon resonances while the interfaces define the plasmon dispersion. However, unique properties of plasmonic quasicrystals lead to polarization independence, designable k-space and broadband transmission enhancement due to SPP mediation. These are useful in many applications like energy harvesting, nonlinear optics and quantum plasmonics. We demonstrate design and fabrication of large area quasicrystal air hole patterns of pi/5 symmetry in metal film in which broadband, launch angle and polarization independent transmission enhancement as well as broadband second harmonic generation are observed. Designable transmission response, other symmetries and tilings are possible. Comments: 10 pages, 4 figures LANL EDS Other Fields of Physics arXiv physics.optics LANL EDS 2013 PREPRINT 11 PREPRINT Hidden 1624246 SzGeCERN 20171103220347.0 DOI 10.1088/1464-4258/11/2/024007 oai:arXiv.org:1311.0386 http://export.arxiv.org/oai2 2013-11-05 2013-11-05T03:04:50Z arXiv true arXiv arXiv:1311.0386 eng Zito, G Piccirillo, B Santamato, E Marino, A Tkachenko, V Abbate, G Pure Appl. Opt. 11 2009 024007 J. Opt. A: Pure Appl. Opt. 11 (2009) 024007 (8pp) http://arxiv.org/pdf/1311.0386.pdf Preprint n 201344 FDTD analysis of photonic quasicrystals with different tiling geometries and fabrication by single beam computer-generated holography 02 Nov 2013 8 p Multiple-beam holography has been widely used for the realization of photonic quasicrystals with high rotational symmetries not achievable by the conventional periodic crystals. Accurate control of the properties of the interfering beams is necessary to provide photonic band-gap structures. Here we show, by FDTD simulations of the transmission spectra of 8-fold quasiperiodic structures, how the geometric tiling of the structure affects the presence and properties of the photonic band-gap for low refractive index contrasts. Hence, we show an interesting approach to the fabrication of photonic quasicrystals based on the use of a programmable Spatial Light Modulator encoding Computer-Generated Holograms, that permits an accurate control of the writing pattern with almost no limitations in the pattern design. Using this single-beam technique we fabricated quasiperiodic structures with high rotational symmetries and different geometries of the tiling, demonstrating the great versatility of our technique. Comments: 8 pages, 6 figures LANL EDS Other Fields of Physics arXiv physics.optics LANL EDS 2013 ARTICLE 13 Article Hidden 1624247 SzGeCERN 20171103220527.0 DOI 10.1088/2040-8978/13/1/015602 oai:arXiv.org:1311.0392 http://export.arxiv.org/oai2 2013-11-05 2013-11-05T03:04:50Z arXiv true arXiv arXiv:1311.0392 eng Matarazzo, V De Nicola, S Zito, G Mormile, P Rippa, M Abbate, G Zhou, J Petti, L J. Opt. 13 2011 015602 Journal of Optics 13 015602 2011 http://arxiv.org/pdf/1311.0392.pdf Preprint n 201344 Spectral characterization of two-dimensional Thue-Morse quasicrystals realized with high resolution lithography 02 Nov 2013 8 p One-dimensional Thue-Morse (ThMo) lattices are examples of self-similar structures that exhibit bandgap phenomena. ThMo multilayers may also possess fractal photonic bandgaps that give rise to large omnidirectional reflectance and light emission enhancement effects. Two-dimensional (2D) ThMo aperiodic quasicrystals possess interesting properties for photonic applications too. Here we demonstrate the experimental fabrication of large area 2D ThMo lattices into polymeric substrates at nanometer scale by electron beam lithography (EBL). Far field diffraction patterns of the experimental Thue-Morse structures have been measured and compared with the calculated theoretical Fourier spectra. Scanning electron microscopy and far field diffraction are used to characterize the experimental structures. Comments: 8 pages, 5 figures LANL EDS Other Fields of Physics arXiv physics.optics LANL EDS 2013 ARTICLE 13 Article Hidden 1628283 SzGeCERN 20160412220859.0 DOI 10.1364/OE.21.019972 oai:arXiv.org:1311.2963 http://export.arxiv.org/oai2 2013-11-14 2013-11-14T03:04:05Z arXiv true arXiv arXiv:1311.2963 eng Man, Weining Florescu, Marian Matsuyama, Kazue Yadak, Polin Nahal, Geev Hashemizad, Seyed Williamson, Eric Steinhardt, Paul Torquato, Salvatore Chaikin, Paul Optics Express 21 (17), 19972-19981 (2013) http://arxiv.org/pdf/1311.2963.pdf Preprint n 201345 Photonic band gap in isotropic hyperuniform disordered solids with low dielectric contrast 12 Nov 2013 mult. p We report the first experimental demonstration of a TE-polarization photonic band gap (PBG) in a 2D isotropic hyperuniform disordered solid (HUDS) made of dielectric media with a index contrast of 1.6:1, very low for PBG formation. The solid is composed of a connected network of dielectric walls enclosing air-filled cells. Direct comparison with photonic crystals and quasicrystals permitted us to investigate band-gap properties as a function of increasing rotational isotropy. We present results from numerical simulations proving that the PBG observed experimentally for HUDS at low index contrast has zero density of states. The PBG is associated with the energy difference between complementary resonant modes above and below the gap, with the field predominantly concentrated in the air or in the dielectric. The intrinsic isotropy of HUDS may offer unprecedented flexibilities and freedom in applications (i. e. defect architecture design) not limited by crystalline symmetries. LANL EDS cond-mat.mes-hall arXiv cond-mat.mtrl-sci arXiv Other Fields of Physics arXiv cond-mat.mes-hall LANL EDS cond-mat.mtrl-sci LANL EDS physics.optics LANL EDS 2013 ARTICLE 13 ARTICLE Hidden 1690487 SzGeCERN 20160412210448.0 DOI 10.1103/PhysRevB.91.064201 oai:arXiv.org:1403.7124 http://export.arxiv.org/oai2 2015-03-05 2015-03-05T06:19:50Z arXiv true arXiv arXiv:1403.7124 eng Verbin, Mor Zilberberg, Oded Lahini, Yoav Kraus, Yaacov E Silberberg, Yaron Phys. Rev. B 91 2015 064201 Phys. Rev. B 91, 064201 (2015) http://arxiv.org/pdf/1403.7124.pdf Preprint n 201412 Topological Pumping over a Photonic Fibonacci Quasicrystal 27 Mar 2014 5 p Comments: 5 pages, 4 figures, comments are welcome Comments: 5 pages, 4 figures, comments are welcome arXiv Quasiperiodic lattices have recently been shown to be a non-trivial topological phase of matter. Charge pumping -- one of the hallmarks of topological states of matter -- was recently realized for photons in a one-dimensional (1D) off-diagonal Harper model implemented in a photonic waveguide array. The topologically nontrivial 1D Fibonacci quasicrystal (QC) is expected to facilitate a similar phenomenon, but its discrete nature and lack of pumping parameter hinder the experimental study of such topological effects. In this work we overcome these obstacles by utilizing a family of topologically equivalent QCs which ranges from the Fibonacci QC to the Harper model. Implemented in photonic waveguide arrays, we observe the topological properties of this family, and perform a topological pumping of photons across a Fibonacci QC. http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS cond-mat.mes-hall arXiv General Theoretical Physics arXiv cond-mat.mtrl-sci arXiv Other Fields of Physics arXiv cond-mat.mes-hall LANL EDS cond-mat.mtrl-sci LANL EDS physics.optics LANL EDS quant-ph LANL EDS 2014 PREPRINT 11 PREPRINT Hidden 289521 SzGeCERN 20160331145742.0 0210359CERCER cond-mat/9510061 eng Bovier, A Schrödinger operators generated by substitutions 1995 12 Oct 1995 mult. p Schr\"odinger operators with potentials generated by primitive substitutions are simple models for one dimensional quasi-crystals. We review recent results on their spectral properties. These include in particular an algorithmically verifiable sufficient condition for their spectrum to be singular continuous and supported on a Cantor set of zero Lebesgue measure. Applications to specific examples are discussed. LANL EDS SzGeCERN Condensed Matter PREPRINT Ghez, J M Bovier, Anton http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9510061 Access to fulltext document ghez@cptsg2.univ-mrs.fr (Ghez Jean-Michel) n 199543 11 20051226 0016 CER01 19951013 PUBLIC 0001 000210359CER PREPRINT Hidden 379568 SzGeCERN 20170222221216.0 oai:cds.cern.ch:379568 cerncds:FULLTEXT 0305126CERCER physics/9902038 eng Cherkas, N L The dispersion equation for a wave number of the electromagnetic wave in a random medium of the parallel dielectric cylinders 1999 17 Feb 1999 10 p In a frame of quasi-crystal approximation the dispersion equations are obtained for the wave vector of a coherent electromagnetic wave propagating in a media which contains a random set of parallel dielectric cylinders with possible overlapping. The results are compared with that for the case when a regularity at the cylinder placement exists. LANL EDS SzGeCERN Other Fields of Physics PREPRINT Cherkas, Nadejda L. http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=physics&id=9902038 Access to fulltext document http://cds.cern.ch/record/379568/files/9902038.pdf Access to fulltext document http://cds.cern.ch/record/379568/files/9902038.ps.gz Access to fulltext document cherkas@inp.minsk.by Belarussian State University of informatics and radioelectronics, Minsk n 199907 11 20060610 0014 CER01 19990217 PUBLIC 000305126CER PREPRINT Hidden 405267 SzGeCERN 20170222221250.0 oai:cds.cern.ch:405267 cerncds:FULLTEXT CERCER 0332005 physics/9910036 eng Broderick, N HeXLN A 2-Dimensional nonlinear photonic crystal 1999 27 Oct 1999 13 p We report on the fabrication of what we believe is the first example of a two dimensional nonlinear periodic crystal\cite{berger}, where the refractive index is constant but in which the 2nd order nonlinear susceptibility is spatially periodic. Such a crystal allows for efficient quasi-phase matched 2nd harmonic generation using multiple reciprocal lattice vectors of the crystal lattice. External 2nd harmonic conversion efficiencies > 60% were measured with picosecond pulses. The 2nd harmonic light can be simultaneously phase matched by multiple reciprocal lattice vectors, resulting in the generation of multiple coherent beams. The fabrication technique is extremely versatile and allows for the fabrication of a broad range of 2-D crystals including quasi-crystals. LANL EDS SzGeCERN Other Fields of Physics PREPRINT Ross, Graham G Offerhaus, H Richardson, D Hanna, D S Broderick, Neil Ross, Graeme Offerhaus, Herman Richardson, David Hanna, David http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=physics&id=9910036 Access to fulltext document http://cds.cern.ch/record/405267/files/9910036.pdf Access to fulltext document http://cds.cern.ch/record/405267/files/9910036.ps.gz Access to fulltext document ngb@orc.soton.ac.uk n 199943 11 20060610 0009 CER01 19991027 PUBLIC 000332005CER PREPRINT Hidden 435431 SzGeCERN 20170920232011.0 oai:cds.cern.ch:435431 cerncds:FULLTEXT 2185074CERCER SLAC 4372549 SPIRES 4372549 Inspire 526444 hep-th/0004152 eng Castro, C Why we live in 3+1 Dimensions 2000 21 Apr 2000 29 p In the same fashion that Einstein's General Relativity required Riemannian Geometry for its foundations, the New Relativity Theory requires a Cantorian-Fractal Spacetime, which is an example of Von Neumann's Noncommutative Geometry. Starting from first principles, an ensemble distribution for all the infinite dimensions of quantum spacetime is derived that required Fermat's last theorem. An explicit computation of the average dimension yields a value very close to the exact number $4+\phi^3 $, obtained previously from the Cantorian-Fractal Spacetime Model. The quantity $\phi$ is the Golden Mean. The Cosmological " constant problem " is never an issue within the framework of the New Relativity, since the Universe automatically self-organizes and self-tunes itself according to the Renormalization Group flow with respect to a local scaling microscopic arrow of time. The world began as a result of a non-equilibrium process of self-organized critical phenomena due to vacuum fluctuations in Cantorian-Fractal Spacetime. It is proven why we live today in a metastable vacuum and are flowing to the RG fixed point of $ D = 4 +\phi^3$. A new phase transition will then drive the Universe to a quasi-crystal phase of lower average dimensions given by $\phi^3$. Finally, we write down the Unique Quantum Master Interacting Action functional for the world in {\bf C}-space, (outside spacetime), that governs the quantum dynamics for the creation of spacetime, gravity and all of the fundamental forces in Nature. LANL EDS SzGeCERN Particle Physics - Theory PREPRINT LANL EDS High Energy Physics - Theory Granik, A El-Naschie, M S Castro, Carlos Granik, Alex Naschie, Mohammed S. El http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=hep-th&id=0004152 Access to fulltext document http://cds.cern.ch/record/435431/files/0004152.pdf Access to fulltext document http://cds.cern.ch/record/435431/files/0004152.ps.gz Access to fulltext document castro@ctsps.cau.edu n 200017 11 20100421 1410 CER01 20000424 PUBLIC 002185074CER PREPRINT Hidden 449288 SzGeCERN 20160331235417.0 2200264CERCER cond-mat/0007437 eng Casati, G Regular and Anomalous Quantum Diffusion in the Fibonacci Kicked Rotator 2000 27 Jul 2000 7 p We study the dynamics of a quantum rotator kicked according to the almost-periodic Fibonacci sequence. A special numerical technique allows us to carry on this investigation for as many as $10^{12}$ kicks. It is shown that above a critical kick strength the excitation of the system is well described by regular diffusion, while below this border it becomes anomalous, and sub-diffusive. A law for the dependence of the exponent of anomalous sub-diffusion on the system parameters is established numerically. The analogy between these results and quantum diffusion in models of quasi-crystal and in the kicked Harper system is discussed. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Condensed Matter Mantica, G Shepelyansky, D L Phys. Rev. E http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0007437 Access to fulltext document giorgio@fis.unico.it n 200030 11 20060904 2035 CER01 20000728 PUBLIC 002200264CER PREPRINT Hidden 530480 SzGeCERN 20160408021659.0 2287445CERCER math.KT/0112113 eng math/0112113 Benameur, M T Gap-labelling for quasi-crystals (proving a conjecture by J. Bellissard) 2001 12 Dec 2001 11 p In the present paper, we give a proof of the gap-labelling conjecture for quasi-crystals. The main tools are the measured index theorem for laminations and a naturality of the longitudinal Chern character. LANL EDS SzGeCERN Mathematical Physics and Mathematics PREPRINT LANL EDS K-Theory and Homology LANL EDS Mathematical Physics Oyono-Oyono, H Benameur, Moulay-Tahar Oyono-Oyono, Herve http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=math.KT&id=0112113 Access to fulltext document benameur@desargues.univ-lyon1.fr n 200150 10 20060530 2034 CER01 20011213 PUBLIC 002287445CER PREPRINT Hidden 541426 SzGeCERN 20170920234118.0 oai:cds.cern.ch:541426 cerncds:FULLTEXT 2298610CERCER SLAC 4886291 SPIRES 4886291 Inspire 583934 hep-th/0203086 eng Castro, C Fractal Strings as the Basis of Cantorian-Fractal Spacetime and the Fine Structure Constant 2002 9 Mar 2002 12 p Beginning with the most general fractal strings/sprays construction recently expounded in the book by Lapidus and Frankenhuysen, it is shown how the complexified extension of El Naschie's Cantorian-Fractal spacetime model belongs to a very special class of families of fractal strings/sprays whose scaling ratios are given by suitable pinary (pinary, p prime) powers of the Golden Mean. We then proceed to show why the logarithmic periodicity laws in Nature are direct physical consequences of the complex dimensions associated with these fractal strings/sprays. We proceed with a discussion on quasi-crystals with p-adic internal symmetries, von Neumann's Continuous Geometry, the role of wild topology in fractal strings/sprays, the Banach-Tarski paradox, tesselations of the hyperbolic plane, quark confinement and the Mersenne-prime hierarchy of bit-string physics in determining the fundamental physical constants in Nature. LANL EDS SIS LANLPUBL2003 SIS:2003 PR/LKR added SzGeCERN Particle Physics - Theory ARTICLE LANL EDS High Energy Physics - Theory Castro, Carlos 1341-1351 Chaos Solitons Fractals 14 2002 http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=hep-th&id=0203086 Access to fulltext document http://cds.cern.ch/record/541426/files/0203086.pdf Access to fulltext document http://cds.cern.ch/record/541426/files/0203086.ps.gz Access to fulltext document perelmanc@poincare.udea.edu.co n 200211 13 20100419 0939 CER01 20020312 PUBLIC 002298610CER ARTICLE Hidden 639115 SzGeCERN 20170624235138.0 oai:cds.cern.ch:639115 cerncds:FULLTEXT SPIRES 5642060 Inspire 626292 astro-ph/0308370 eng Iovane, G Stochastic Self-Similar and Fractal Universe 2004 21 Aug 2003 17 p The structures formation of the Universe appears as if it were a classically self-similar random process at all astrophysical scales. An agreement is demonstrated for the present hypotheses of segregation with a size of astrophysical structures by using a comparison between quantum quantities and astrophysical ones. We present the observed segregated Universe as the result of a fundamental self-similar law, which generalizes the Compton wavelength relation. It appears that the Universe has a memory of its quantum origin as suggested by R.Penrose with respect to quasi-crystal. A more accurate analysis shows that the present theory can be extended from the astrophysical to the nuclear scale by using generalized (stochastically) self-similar random process. This transition is connected to the relevant presence of the electromagnetic and nuclear interactions inside the matter. In this sense, the presented rule is correct from a subatomic scale to an astrophysical one. We discuss the near full agreement at organic cell scale and human scale too. Consequently the Universe, with its structures at all scales (atomic nucleus, organic cell, human, planet, solar system, galaxy, clusters of galaxy, super clusters of galaxy), could have a fundamental quantum reason. In conclusion, we analyze the spatial dimensions of the objects in the Universe as well as spacetime dimensions. The result is that it seems we live in an El Naschie's E infinity Cantorian spacetime; so we must seriously start considering fractal geometry as the geometry of nature, a type of arena where the laws of physics appear at each scale in a self--similar way as advocated long ago by the Swedish school of astrophysics. LANL EDS SIS LANLPUBL2004 SIS:2004 PR/LKR added SzGeCERN Astrophysics and Astronomy ARTICLE LANL EDS Astrophysics Laserra, E Tortoriello, F S 415-426 Chaos Solitons Fractals 20 2004 http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=astro-ph&id=0308370 Access to fulltext document http://cds.cern.ch/record/639115/files/0308370.pdf Access to fulltext document http://cds.cern.ch/record/639115/files/0308370.ps.gz Access to fulltext document geriov@sa.infn.it n 200334 13 20100417 1144 CER01 20030822 PUBLIC 002395712CER ARTICLE Hidden 798686 SzGeCERN 20170222221950.0 oai:cds.cern.ch:798686 cerncds:FULLTEXT physics/0410095 eng Kourakis, I Intrinsic localized modes in dust lattices 2004 14 Oct 2004 mult. p Intrinsic Localized Modes (ILM) (or Discrete Breathers, DB) are localized oscillatory modes known to occur in atomic or molecular chains characterized by coupling and/or on-site potential nonlinearity. Quasi-crystals of charged mesoscopic dust grains (dust lattices), which have been observed since hardly a decade ago, are an exciting paradigm of such a nonlinear chain. In gas-discharge experiments, these crystals are subject to forces due to an externally imposed electric and/or magnetic field(s), which balance(s) gravity at the levitated equilibrium position, as well as to electrostatic inter-grain interaction forces. Despite the profound role of nonlinearity, which may be due to inter-grain coupling, mode- coupling and to the sheath environment, the elucidation of the nonlinear mechanisms governing dust crystals is still in a preliminary stage. This study is devoted to an investigation, from very first principles, of the existence of discrete localized modes in dust layers. Relying on a set of evolution equation for transverse charged grain displacements, we examine the conditions for the existence and sustainance of discrete localized modes and discuss the dependence of their characteristics on intrinsic plasma parameters. In addition, the possibility of DB stabilisation via an external force is discussed. LANL EDS SzGeCERN Other Fields of Physics PREPRINT LANL EDS Plasma Physics LANL EDS Physics Basios, V Shukla, P K Kourakis, Ioannis Basios, Vassileios Shukla, Padma Kant http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=physics&id=0410095 Access to fulltext document http://cds.cern.ch/record/798686/files/0410095.pdf Access to fulltext document n 200442 11 20060130 1933 CER01 20041015 789754 nice20041025 PUBLIC 002487944CER PREPRINT ConferencePaper Hidden 798869 SzGeCERN 20170222221951.0 oai:cds.cern.ch:798869 cerncds:FULLTEXT physics/0410098 eng Kourakis, I Nonlinear theory of dust lattice mode coupling in dust crystals 2004 15 Oct 2004 mult. p Quasi-crystals formed by charged mesoscopic dust grains (dust lattices), observed since hardly a decade ago, are an exciting paradigm of a nonlinear chain. In laboratory discharge experiments, these quasi-lattices are formed spontaneously in the sheath region near a negative electrode, usually at a levitated horizontal equilibrium configuration where gravity is balanced by an electric field. It is long known (and experimentally confirmed) that dust-lattices support linear oscillations, in the longitudinal (acoustic mode) as well as in the transverse, in plane (acoustic-) or off-plane (optic-like mode) directions. Either due to the (typically Yukawa type) electrostatic inter-grain interaction forces or to the (intrinsically nonlinear) sheath environment, nonlinearity is expected to play an important role in the dynamics of these lattices. Furthermore, the coupling between the different modes may induce coupled nonlinear modes. Despite this evidence, the elucidation of the nonlinear mechanisms governing dust crystals is in a rather preliminary stage. In this study, we derive a set of (coupled) discrete equations of motion for longitudinal and transverse (out-of-plane) motion in a one dimensional model chain of charged dust grains. In a continuum approximation, i.e. assuming a variation scale which is larger than the lattice constant, one obtains a set of coupled modified Boussinesq-like equations. Different nonlinear solutions of the coupled system are discussed, based on localized travelling wave ansatze and on coupled equations for the envelopes of co-propagating quasi-linear waves. LANL EDS SzGeCERN Other Fields of Physics PREPRINT LANL EDS Plasma Physics LANL EDS Physics Shukla, P K Kourakis, Ioannis Shukla, Padma Kant http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=physics&id=0410098 Access to fulltext document http://cds.cern.ch/record/798869/files/0410098.pdf Access to fulltext document n 200443 11 20060130 1933 CER01 20041018 789754 nice20041025 PUBLIC 002488119CER PREPRINT ConferencePaper Hidden 1005957 SzGeCERN 20160401050230.0 cond-mat/0612401 eng Piasecki, R J A generalization of the inhomogeneity measure for point distributions to the case of finite size objects 2006 15 Dec 2006 22 p The measure of spatial inhomogeneity for n points placed in kappa cells each of size kxk is generalized to incorporate finite size objects like black pixels for binary patterns of size LxL. The excluded area approach accounts for the necessary constraint n_sub_i <= k^2 for the occupation numbers n_sub_i of black pixels at i-th cell. As a function of length scale k, the generalized measure is finally modified in such a way that it relates to the smallest realizable value for each considered scale. To overcome the limitation of pattern partitions to scales with k being integer divisors of L we use the sliding cell-sampling method. To control cell statistics the simple condition for this method is obtained. For given patterns, particularly in the case of clusters with size dispersion, the comparison of the final measure with the corresponding entropic one reveals differences between them in detection of the first peak in the measure curves while at other scales they well correlate. The universality of the two measures allows both traces of hidden periodicity and features of planar quasi-crystals free from a periodicity to be explored. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Statistical Mechanics LANL EDS Condensed Matter Piasecki, Ryszard J. http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0612401 Access to fulltext document n 200651 10 20061221 2034 CER01 20061218 PUBLIC 002667076CER PREPRINT Hidden 1022050 SzGeCERN 20160401050419.0 cond-mat/0703156 eng cond-mat/0703156 Sá de Melo, C A R Vortex Quasi-Crystals 1999 Ahmedabad Ahmedabad Univ. Phys. Res. Lab. 1 Aug 1999 4 p There seems to be a one to one correspondence between the phases of atomic and molecular matter (AMOM) and vortex matter (VM) in superconductors. Crystals, liquids and glasses have been experimentally observed in both AMOM and VM. However, quasi-crystals also exist in AMOM, thus a new phase of vortex matter is proposed here: the vortex quasi-crystal. It is argued that vortex quasi-crystals are stabilized due to boundary and surface energy effects for samples of special shapes and sizes, and that a phase transition between a vortex crystal and a vortex quasi-crystal occurs as a function of magnetic field and temperature as the sample size is reduced. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Superconductivity LANL EDS Condensed Matter Phys. Rev. Lett. http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0703156 Access to fulltext document carlos.sademelo@physics.gatech.edu n 200711 11 20071208 0015 CER01 20070315 PUBLIC 002681178CER PREPRINT Hidden 1023721 SzGeCERN 20160401050435.0 cond-mat/0703421 eng Zhang, W Vortex quasi-crystals in mesoscopic superconducting samples 2007 15 Mar 2007 7 p Comments: 7 pages, 5 figures, extended edition of our earlier work cond-mat/0607624 There seems to be a one to one correspondence between the phases of atomic and molecular matter (AMOM) and vortex matter (VM) in superfluids and superconductors. Crystals, liquids and glasses have been experimentally observed in both AMOM and VM. Here, we propose a vortex quasi-crystal state which can be stabilized due to boundary and surface energy effects for samples of special shapes and sizes. For finite sized pentagonal samples, it is proposed that a phase transition between a vortex crystal and a vortex quasi-crystal occurs as a function of magnetic field and temperature as the sample size is reduced. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Superconductivity LANL EDS Condensed Matter de Melo, C S Zhang, Wei Melo, Carlos Sa de http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0703421 Access to fulltext document gtg978b@prism.gatech.edu n 200712 11 20071208 0016 CER01 20070321 PUBLIC 002682797CER PREPRINT Hidden 1087917 SzGeCERN 20160413234213.0 arXiv oai:arXiv.org:0705.3034 arXiv:0705.3034 eng Jiang, Longhua Lattice structures of Larkin-Ovchinnikov-Fulde - Ferrell (LOFF) state 2008 09 Feb 2008 8 p Comments: 8 pages, 10 figures Starting from the Ginzburg-Landau free energy describing the normal state to Larkin-Ovchinnikov-Fulde-Ferrell (LOFF) state transition, we evaluate the free energy of seven most common lattice structures such as stripe, square, triangular,Simple Cubic (SC), Face centered Cubic (FCC),Body centered Cubic (BCC) and Quasi-crystal (QC). We find that the stripe phase which is the original LO state, is the most stable phase. This result maybe relevant to the detection of LOFF state in some heavy fermion compounds and the pairing lattice structure of fermions with unequal populations in the BCS side of Feshbach resonance in ultra-cold atoms. LANL EDS arXiv cond-mat.str-el arXiv physics.atom-ph ARTICLE LANL EDS cond-mat.str-el LANL EDS physics.atom-ph Ye, Jinwu 184104 Phys. Rev. B 76 2007 n 200805 13 20081122 0005 CER01 20080211 PUBLIC 002742698CER ARTICLE Hidden http://arxiv.org/pdf/0705.3034.pdf Preprint 172048 SzGeCERN 20141215232344.0 0001 0083439CERCER eng LOMI-E-86-7 Koperin, V E Completely integrable models in quasicrystals 1986 St. Petersburg Akad. Nauk St. Petersburg. Inst. Yarn. Math. 3 Jul 1986 35 p paper SzGeCERN General Theoretical Physics PREPRINT CERN Central Library LOMI E 86-7 h 198644 11 20051217 0036 CER01 19900129 PUBLIC 000083439CER PREPRINT 201022 SzGeCERN 20141215234356.0 0112674CERCER eng TPT-QC-89-05-2 Baake, M The vertices of the ideal 3-D icosahedral quasicrystal 1989 Tübingen Tübingen Univ. Inst. Theor. Phys. 26 May 1989 11 p paper SzGeCERN Other Fields of Physics CERN d=3 PREPRINT Ben-Abraham, S I Kramer, P H Schlottmann, M CERN Central Library TPT QC 89-05-2 h 198940 11 20070425 1013 CER01 19900129 PUBLIC 000112674CER PREPRINT 205856 SzGeCERN 20170112153004.0 0001 0117634CERCER eng IASSNS-HEP-89-64 Steinhardt, Paul Joseph Growing perfect quasicrystals 1989 Princeton, NJ Princeton Univ. Inst. Adv. Stud. Dec 1989? 11 p paper SzGeCERN Other Fields of Physics PREPRINT CERN Central Library IASSNS HEP 89-64 h 199002 11 20051217 0049 CER01 19900315 205925 kyoto891114 PUBLIC 000117634CER PREPRINT 217278 SzGeCERN 20141215235519.0 0129681CERCER eng CPT-2484 M-CPT-2484 Bellissard, J Renormalization group analysis and quasicrystals 1990 Marseille CNRS Marseille. Cent. Phys. Théor. Oct 1990 31 p paper SzGeCERN Other Fields of Physics PREPRINT CERN Central Library M CPT 90-2484 h 199110 11 20060522 2033 CER01 19910227 PUBLIC PREPRINT 0001 000129681CER 218856 SzGeCERN 20141215235527.0 0131346CERCER eng CPT-2510 M-CPT-2510 Sire, C Electronic stability of disordered systems application to quasicrystals 1991 Marseille CNRS Marseille. Cent. Phys. Théor. Feb 1991 25 p paper SzGeCERN Other Fields of Physics PREPRINT J. Phys. A CERN Central Library M CPT 91-2510 h 199117 11 20060911 2035 CER01 19910416 PUBLIC PREPRINT 0001 000131346CER 222435 SzGeCERN 20141215235753.0 0135077CERCER eng CPT-2558 M-CPT-2558 Benza, V G Band spectrum of the octagonal quasicrystal finite measure, gaps and chaos 1991 Marseille CNRS Marseille. Cent. Phys. Théor. Jun 1991 12 p paper SzGeCERN Other Fields of Physics PREPRINT Sire, C Phys. Rev. Lett. CERN Central Library M CPT 91-2558 h 199130 11 20060524 2033 CER01 19910718 PUBLIC PREPRINT 0001 000135077CER 226432 SzGeCERN 20141215235924.0 0139319CERCER eng GSI-91-44 GSI-PRE-91-44 CM-P00070070 Hasse, R W Structure and magic numbers of large Lennard-Jones quasicrystals and crystals 1991 Darmstadt GSI Sep 1991 12 p paper SzGeCERN Other Fields of Physics PREPRINT CERN Central Library GSI PRE 91-44 Ges. Schwerionenforsch. Darmstadt h 200700 11 20100401 1526 CER01 19911021 PUBLIC 000139319CER PREPRINT 0001 227829 SzGeCERN 20170112152704.0 0141733CERCER eng GSI-91-59 GSI-PRE-91-59 CM-P00070075 Hasse, R W Magic numbers of Coulomb and Lennard-Jones crystals and quasicrystals 1991 Darmstadt GSI Nov 1991 9 p paper SzGeCERN Other Fields of Physics PREPRINT CERN Central Library GSI PRE 91-59 Ges. Schwerionenforsch. Darmstadt h 200700 11 20100401 1526 CER01 19911209 227821 badhonnef911126 PUBLIC 000141733CER PREPRINT 0001 244049 SzGeCERN 20141216002417.0 0001 0159963CERCER eng PRE-33717 P00008940 Moody, R V Quasicrystals and icosians 1992 Edmonton, AL Alberta Univ. Oct 1992 34 p paper SzGeCERN Mathematical Physics and Mathematics PREPRINT Patera, J CERN Central Library PRE 33717 h 199251 11 20061223 0019 CER01 19921211 PUBLIC 000159963CER PREPRINT 257736 SzGeCERN 20160331145350.0 0174720CERCER cond-mat/9401038 eng Piechon, F Energy level statistics of electrons in a 2d quasicrystal 1994 19 Jan 1994 9 p A numerical study is made of the spectra of a tight-binding hamiltonian on square approximants of the quasiperiodic octagonal tiling. Tilings may be pure or random, with different degrees of phason disorder considered. The level statistics for the randomized tilings follow the predictions of random matrix theory, while for the perfect tilings a new type of level statistics is found. In this case, the first-, second- level spacing distributions are well described by lognormal laws with power law tails for large spacing. In addition, level spacing properties being related to properties of the density of states, the latter quantity is studied and the multifractal character of the spectral measure is exhibited. LANL EDS SzGeCERN Other Fields of Physics PREPRINT Jagannathan, A Frederic Piechon Anuradha Jagannathan http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9401038 Access to fulltext document n 199404 11 20051224 0749 CER01 19940120 PUBLIC 0001 000174720CER PREPRINT Hidden 267422 SzGeCERN 20160331145430.0 0186148CERCER cond-mat/9408048 eng CTP-TAMU-94-21 Jaric, M V Self-diffusion in random-tiling quasicrystals 1994 College Station, TX Texas A and M Univ. Dept. Phys. 18 Aug 1994 11 p The first explicit realization of the conjecture that phason dynamics leads to self-diffusion in quasicrystals is presented for the icosahedral Ammann tilings. On short time scales, the transport is found to be subdiffusive with the exponent \beta\approx0.57(1), while on long time scales it is consistent with normal diffusion that is up to an order of magnitude larger than in the typical room temperature vacancy-assisted self-diffusion. No simple finite-size scaling is found, suggesting anomalous corrections to normal diffusion, or existence of at least two independent length scales. LANL EDS SzGeCERN Condensed Matter PREPRINT Sørensen, E Jaric, M V Sorensen, E S http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9408048 Access to fulltext document sorensen@magnon.physics.ubc.ca (Erik Sorensen) n 199435 11 20051224 0753 CER01 19940822 PUBLIC 0001 000186148CER PREPRINT Hidden 277559 SzGeCERN 20160331145531.0 0197390CERCER cond-mat/9502105 eng Jagannathan, A Model for the thermal conductivity of a quasicrystalline alloy 1995 24 Feb 1995 10 p We present a simple model for the observed temperature dependence of the thermal conductivity of AlPdMn (Chernikov et al, Phys.Rev.B vol.51, (1995),153). We account for the low temperature data, upto and including the plateau of the thermal conductivity, and discuss the similarities and the differences between the quasicrystal and amorphous solids. LANL EDS SzGeCERN Condensed Matter PREPRINT Jagannathan, A http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9502105 Access to fulltext document anu@vayu.lps.u-psud.fr n 199510 11 20051224 0757 CER01 19950227 PUBLIC 0001 000197390CER PREPRINT Hidden 278536 SzGeCERN 20160331145544.0 0198415CERCER cond-mat/9503072 eng MSC-79-M-02 Newman, M E J Phason elasticity of a three-dimensional quasicrystal transfer-matrix method 1995 13 Mar 1995 38 p We introduce a new transfer matrix method for calculating the thermodynamic properties of random-tiling models of quasicrystals in any number of dimensions, and describe how it may be used to calculate the phason elastic properties of these models, which are related to experimental measurables such as phason Debye-Waller factors, and diffuse scattering wings near Bragg peaks. We apply our method to the canonical-cell model of the icosahedral phase, making use of results from a previously-presented calculation in which the possible structures for this model under specific periodic boundary conditions were cataloged using a computational technique. We give results for the configurational entropy density and the two fundamental elastic constants for a range of system sizes. The method is general enough allow a similar calculation to be performed for any other random tiling model. LANL EDS SzGeCERN Condensed Matter PREPRINT Henley, C L Newman, M E J Henley, C L http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9503072 Access to fulltext document newmme@msc.cornell.edu n 199512 11 20051224 0758 CER01 19950314 PUBLIC 0001 000198415CER PREPRINT Hidden 282687 SzGeCERN 20160331145631.0 0202896CERCER cond-mat/9506004 eng EFI-95-06-[CHICAGO] Moulopoulos, K Role of phason-defects on the conductance of a 1-d quasicrystal 1995 1 Jun 1995 12 p paper We have studied the influence of a particular kind of phason-defect on the Landauer resistance of a Fibonacci chain. Depending on parameters, we sometimes find the resistance to decrease upon introduction of defect or temperature, a behavior that also appears in real quasicrystalline materials. We demonstrate essential differences between a standard tight-binding model and a full continuous model. In the continuous case, we study the conductance in relation to the underlying chaotic map and its invariant. Close to conducting points, where the invariant vanishes, and in the majority of cases studied, the resistance is found to decrease upon introduction of a defect. Subtle interference effects between a sudden phason-change in the structure and the phase of the wavefunction are also found, and these give rise to resistive behaviors that produce exceedingly simple and regular patterns. LANL EDS SzGeCERN Condensed Matter PREPRINT Roche, S http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9506004 Access to fulltext document roche@lepes1.polycnrs-gre.fr (Stephan Roche these) n 199524 11 20070425 1015 CER01 19950602 PUBLIC 000202896CER PREPRINT Hidden 282793 SzGeCERN 20160331145632.0 0203010CERCER cond-mat/9506014 eng Moulopoulos, K Fracton superconductivity in quasicrystals a theoretical possibility suggested by experiment 1995 2 Jun 1995 13 p Scattering of electrons due to fractons can result in a resistivity that {\it decreases} with temperature. Such a behavior also appears in real quasicrystals. If this is then attributed to fracton scattering, fracton-superconductivity would be theoretically possible. By fitting with the scattering result the experimental resistivity data for the AlPdMn quasicrystal, we estimate the corresponding T_c. This effective fracton interpretation, not unexpected for a self-similar system, is also found consistent with other experiments on thermal and acoustic properties of the AlPdMn quasicrystal. LANL EDS SzGeCERN Condensed Matter PREPRINT Cyrot-Lackmann, F http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9506014 Access to fulltext document roche@lepes1.polycnrs-gre.fr (Stephan Roche these) n 199524 11 20051226 0013 CER01 19950606 PUBLIC 0001 000203010CER PREPRINT Hidden 310459 SzGeCERN 20160331181444.0 0233042CERCER cond-mat/9609082 eng Jagannathan, A Magnetic states induced by electron-electron interactions in a plane quasiperiodic tiling 1996 9 Sep 1996 16 p paper We consider the Hubbard model for electrons in a two-dimensional quasiperiodic tiling using the Hartree--Fock approximation. Numerical solutions are obtained for the first three square approximants of the perfect octagonal tiling. At half-filling, the magnetic state is antiferromagnetic. We calculate the distributions of local magnetizations and their dependence on the local environments as U (Hubbard repulsion strength) is varied. The inflation symmetry of quasicrystals results in a corresponding inflation symmetry of the magnetic configurations when passing from one tiling to the next in the progression towards the infinite quasicrystal. LANL EDS SzGeCERN Condensed Matter PREPRINT Schulz, H J http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9609082 Access to fulltext document anu@vayu.lps.u-psud.fr (anu) n 199638 11 20051226 0023 CER01 19960910 PUBLIC 000233042CER PREPRINT Hidden 311697 SzGeCERN 20160331181453.0 0234331CERCER cond-mat/9609281 eng ITAP-96-3-1 Roth, J A new binary decagonal Frank-Kasper quasicrystal phase 1996 30 Sep 1996 28 p paper A structure model of atoms of two sizes, interacting with Lennard-Jones potentials and simulated by molecular dynamics, was observed to freeze into a decagonal quasicrystal dominated by Frank-Kasper coordination shells and closely related to the Henley-Elser model for icosahedral quasicrystals. Idealized structure models can be described as decorations of triangle-rectangle and rhombus tilings. Equilibrium properties of the idealized model have been determined by molecular dynamics simulations and a high stability of the model and a low jump rate of the atoms have also been observed. LANL EDS SzGeCERN Condensed Matter PREPRINT Henley, C L Roth, Johannes Henley, Christopher L. Philos. Mag., A http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9609281 Access to fulltext document johannes@itap.physik.uni-stuttgart.de n 199641 11 20051226 0023 CER01 19961001 PUBLIC 000234331CER PREPRINT Hidden 311698 SzGeCERN 20160331181454.0 0234332CERCER cond-mat/9609282 eng ITAP-96-6-2 Roth, J Atomic Self-Diffusion in Quasicrystals A Molecular Dynamics Study 1996 30 Sep 1996 6 p paper We present a molecular dynamics study on atomic self-diffusion in Frank-Kasper type dodecagonal quasicrystals. It is found that the quasicrystal-specific flip mechanism for atomic diffusion as predicted by Kalugin and Katz, indeed occurs in this system. However, in order to be effective, this mechanism needs to be catalyzed by other defects such as half-vacancies if the structure is truly three-dimensional. For this reason, flip diffusion is difficult to distinguish from standard vacancy diffusion. In a quasi-two-dimensional setup, however, the flips may occur without other defects. Activation energies and flip frequencies are also determined. LANL EDS SzGeCERN Condensed Matter PREPRINT Gähler, F Roth, Johannes Gaehler, Franz http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9609282 Access to fulltext document johannes@itap.physik.uni-stuttgart.de n 199641 11 20051226 0023 CER01 19961001 PUBLIC 000234332CER PREPRINT Hidden 321311 SzGeCERN 20160331181803.0 0244483CERCER cond-mat/9702220 eng Schulz-Baldes, H Anomalous Drude Model 1997 paper A generalization of the Drude model is studied. On the one hand, the free motion of the particles is allowed to be sub- or superdiffusive; on the other hand, the distribution of the time delay between collisions is allowed to have a long tail and even a non-vanishing first moment. The collision averaged motion is either regular diffusive or Lévy-flight like. The anomalous diffusion coefficients show complex scaling laws. The conductivity can be calculated in the diffusive regime. The model is of interest for the phenomenological study of electronic transport in quasicrystals. SIS UNC98 LANL EDS SzGeCERN Condensed Matter ARTICLE Schulz-Baldes, Hermann 2176-2179 11 Phys. Rev. Lett. 78 1997 http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9702220 Access to fulltext document hermann@irsamc2.ups-tlse.fr (Schulz-Baldes) n 199711 13 20070310 0013 CER01 19970227 PUBLIC 000244483CER ARTICLE Hidden 322591 SzGeCERN 20160331181818.0 0245820CERCER cond-mat/9703171 eng Denton, A R Thermodynamically Stable One-Component Metallic Quasicrystals 1997 paper Classical density-functional theory is employed to study finite-temperature trends in the relative stabilities of one-component quasicrystals interacting via effective metallic pair potentials derived from pseudopotential theory. Comparing the free energies of several periodic crystals and rational approximant models of quasicrystals over a range of pseudopotential parameters, thermodynamically stable quasicrystals are predicted for parameters approaching the limits of mechanical stability of the crystalline structures. The results support and significantly extend conclusions of previous ground-state lattice-sum studies. LANL EDS SIS LANLPUBL2001 SIS:2001 PR/LKR added SzGeCERN Condensed Matter ARTICLE Hafner, J H 189 Europhys. Lett. 38 1997 http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9703171 Access to fulltext document adenton@iff002.iff.kfa-juelich.de Forschungszentrum Jülich, Germany Technische Universitaet Wien, Austria n 199712 13 20070310 0013 CER01 19970319 PUBLIC 000245820CER ARTICLE Hidden 323467 SzGeCERN 20160331181825.0 0246739CERCER cond-mat/9704021 eng Denton, A R Thermodynamically Stable One-Component Quasicrystals A Density-Functional Survey of Relative Stabilities 1997 paper A combination of classical density-functional theory and thermodynamic perturbation theory is applied to a survey of finite-temperature trends in the relative stabilities of one-component crystals and quasicrystals interacting via effective metallic pair potentials derived from pseudopotential theory. Comparing the free energies of several periodic crystals and rational approximant models of quasicrystals over a range of pseudopotential parameters, thermodynamically stable quasicrystals are predicted for parameters approaching the limits of mechanical stability of the crystal structures. Quasicrystalline stability is attributed to vibrational stiffness and energetically favorable medium- and long-range interactions. The results support and significantly extend conclusions of previous ground-state lattice-sum studies. LANL EDS SIS LANLPUBL2001 SIS:2001 PR/LKR added SzGeCERN Condensed Matter ARTICLE Hafner, J H 2469 Phys. Rev. B 56 1997 http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9704021 Access to fulltext document adenton@iff002.iff.kfa-juelich.de Forschungszentrum Jülich, Germany Technische Universitaet Wien, Austria n 199714 13 20060909 0020 CER01 19970403 PUBLIC 0001 000246739CER ARTICLE Hidden 324069 SzGeCERN 20161219131420.0 0247371CERCER cond-mat/9704105 eng Lifshitz, R Lattice Color Groups of Quasicrystals 1997 14 Apr 1997 5 p paper Lattice color groups are introduced and used to study the partitioning of a periodically- or quasiperiodically-ordered set of points into N symmetry-related subsets. Applications range from magnetic structure to superlattice ordering in periodic as well as quasiperiodic crystals. LANL EDS SzGeCERN Condensed Matter PREPRINT Lifshitz, Ron http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9704105 Access to fulltext document lifshitz@cco.caltech.edu n 199716 11 20051226 0750 CER01 19970414 324556 tokyo970526 PUBLIC 000247371CER PREPRINT Hidden 326620 SzGeCERN 20160331181853.0 0250000CERCER cond-mat/9705251 eng Gornostyrev, Y N Close Packing of Atoms, Geometric Frustration and the Formation of Heterogeneous States in Crystals 1997 27 May 1997 14 p paper To describe structural peculiarities in inhomogeneous media caused by the tendency to the close packing of atoms a formalism based on the using of the Riemann geometry methods (which were successfully applied lately to the description of structures of quasicrystals and glasses) is developed. Basing on this formalism we find in particular the criterion of stability of precipitates of the Frank-Kasper phases in metallic systems. The nature of the ''rhenium effect'' in W-Re alloys is discussed. LANL EDS SzGeCERN Condensed Matter PREPRINT Katsnelson, M I Trefilov, A V Gornostyrev, Yu.N. http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9705251 Access to fulltext document ryng@kepler.usu.ru Institute of Metal Physics Kurchatov Institute n 199722 11 20051226 0751 CER01 19970527 PUBLIC 000250000CER PREPRINT Hidden 328767 SzGeCERN 20160331195214.0 0252212CERCER cond-mat/9706117 eng Ebinger, W Properties of random tilings in three dimensions Random tiling quasicrystals in three dimensions Preprint title 1998 paper Three-dimensional icosahedral random tilings with rhombohedral cells are studied in the semi-entropic model. We introduce a global energy measure defined by the variance of the quasilattice points in the orthogonal space. The internal energy, the specific heat, the configuration entropy and the sheet magnetization (as defined by Dotera and Steinhardt [Phys.Rev.Lett. 72 (1994) 1670]) have been calculated. The specific heat shows a Schottky anomaly which might indicate a phase transition from an ordered quasicrystal to a random tiling. But the divergence with the sample size as well as the divergence of the susceptibility are too small to pinpoint the phase transition conclusively. The self-diffusion coefficients closely follow an Arrhenius law, but show plateaus at intermediate temperature ranges which are explained by energy barriers between different tiling configurations due to the harmonic energy measure. There exists a correlation between the temperature behavior of the self-diffusion coefficient and the frequency of vertices which are able to flip (simpletons). Furthermore we demonstrate that the radial distribution function and the radial structure factor only depend slightly on the random tiling configuration. Hence, radially symmetric pair potentials lead to an energetical equidistribution of all configurations of a canonical random tiling ensemble and do not enforce matching rules. SIS UNC98 LANL EDS SzGeCERN Condensed Matter ARTICLE Roth, J Trebin, H R 8338 13 Phys. Rev. B 58 1998 http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9706117 Access to fulltext document johannes@itap.physik.uni-stuttgart.de n 199726 13 20060909 0021 CER01 19970627 PUBLIC 0001 000252212CER ARTICLE Hidden 328769 SzGeCERN 20160331195214.0 0252214CERCER cond-mat/9706119 eng Roth, J Comment on "Formation of a Dodecagonal Quasicrystalline Phase in a Simple Monatomic Liquid" Formation of a Dodecagonal Quasicrystalline Phase in a Simple Monatomic Liquid 1997 paper In a recent paper M. Dzugutov, Phys. Rev. Lett. 70 2924 (1993), describes a molecular dynamics cooling simulation where he obtained a large monatomic dodecagonal quasicrystal from a melt. The structure was stabilized by a special potential [Phys. Rev. A46 R2984 (1992)] designed to prevent the nucleation of simple dense crystal structures. In this comment we will give evidence that the ground state structure for Dzugutov's potential is an ordinary bcc crystal. SIS UNC98 LANL EDS SzGeCERN Condensed Matter ARTICLE 4042 20 Phys. Rev. Lett. 79 1997 http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9706119 Access to fulltext document johannes@itap.physik.uni-stuttgart.de n 199726 13 20070310 0013 CER01 19970627 PUBLIC 000252214CER ARTICLE Hidden 329033 SzGeCERN 20160331195217.0 0252485CERCER cond-mat/9706304 eng Galam, S A Universal Formula for Percolation Thresholds; 2, Extension to Anisotropic and Aperiodic Lattices 1997 paper In a recent paper, we have reported a universal power law for both site and bond percolation thresholds in any Bravais lattice with q equivalent nearest neighbors in dimension d. We now extend it to three different classes of lattices which are, respectively, anisotropic lattices whith not equivalent nearest neighbors, non-Bravais lattices with two atom unit cells, and quasicrystals. The investigation is focussed on d=2 and d=3, due to the lack of experimental data at higher dimensions. The extension to these lattices requires the substitution of q by an effective (non integer) value $q_{eff}$ in the universal law. For each out of 17 lattices which constitute our sample, we argue the existence of one $q_{eff}$ which reproduces both the site and the percolation threshold, with a deviation with respect to numerical estimates which does not exceed $\mp 0.01$. LANL EDS SIS LANLPUBL2001 SIS:2001 PR/LKR added SzGeCERN Condensed Matter ARTICLE Mauger, A Galam, Serge Mauger, Alain 322-325 Phys. Rev. E 56 1997 http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9706304 Access to fulltext document galam@ccr.jussieu.fr LMDH, Universite Paris n 199727 13 20060909 0021 CER01 19970701 PUBLIC 0001 000252485CER ARTICLE Hidden 332000 SzGeCERN 20160331195251.0 0255522CERCER cond-mat/9708102 eng ITAP-97-8-1 Mikulla, R Dislocations in quasicrystals and their interaction with cluster-like obstacles 1997 15 Aug 1997 4 p paper A dislocation moving through a quasicrystal is leaving in its wake a fault denoted phason wall. For a two-dimensional model quasicrystal the disregistry energy of this phason wall is studied to determine possible Burgers vectors of the quasicrystalline structure. Contrary to periodic crystals, the disregistry energy is an average quantity with large fluctuations on the atomic scale. Therefore the dislocation core structure and mobility cannot be linked to this quantity e.g. by a Peierls-Nabarro model. Atomistic simulations show that dislocation motion is controlled by local obstacles inherent to the atomic structure of the quasicrystal. LANL EDS SzGeCERN Condensed Matter PREPRINT Gumbsch, P Trebin, H R http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9708102 Access to fulltext document ralfm@itap.physik.uni-stuttgart.de n 199734 11 20051226 0753 CER01 19970815 PUBLIC 000255522CER PREPRINT Hidden 333284 SzGeCERN 20160331195308.0 0256858CERCER cond-mat/9708016 eng Roche, S Electronic transport properties of quasicrystals a Review 1997 8 Sep 1997 28 p paper We present a review of some results concerning electronic transport properties of quasicrystals. After a short introduction to the basic concepts of quasiperiodicity, we consider the experimental transport properties of electrical conductivity with particular focus on the effect of temperature, magnetic field and defects. Then, we present some heuristic approaches that tend to give a coherent view of different, and to some extent complementary, transport mechanisms in quasicrystals. Numerical results are also presented and in particular the evaluation of the linear response Kubo-Greenwood formula of conductivity in quasiperiodic systems in presence of disorder. LANL EDS SzGeCERN Condensed Matter PREPRINT De Laissardière, G T Mayou, D Laissardiere, Guy Trambly de http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9708016 Access to fulltext document roche@coral.t.u-tokyo.ac.jp (Stephan Roche) Department of Applied Physics, University of Tokyo LEPES-CNRS-Grenoble Lab. Léon Brillouin, CEA-SACLAY n 199737 11 20051226 0753 CER01 19970908 PUBLIC 000256858CER PREPRINT Hidden 344332 SzGeCERN 20160331195551.0 0268286CERCER cond-mat/9801296 eng Lifshitz, R Symmetry of Magnetically Ordered Quasicrystals 1998 The notion of magnetic symmetry is reexamined in light of the recent observation of long range magnetic order in icosahedral quasicrystals [Charrier et al., Phys. Rev. Lett. 78, 4637 (1997)]. The relation between the symmetry of a magnetically-ordered (periodic or quasiperiodic) crystal, given in terms of a ``spin space group,'' and its neutron diffraction diagram is established. In doing so, an outline of a symmetry classification scheme for magnetically ordered quasiperiodic crystals is provided. Predictions are given for the expected diffraction patterns of magnetically ordered icosahedral crystals, provided their symmetry is well described by icosahedral spin space groups. SIS UNC98 LANL EDS SzGeCERN Condensed Matter ARTICLE Lifshitz, Ron 2717 12 Phys. Rev. Lett. 80 1998 http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9801296 Access to fulltext document lifshitz@cco.caltech.edu California Institute of Technology n 199805 13 20070310 0017 CER01 19980129 PUBLIC 000268286CER ARTICLE Hidden 346439 SzGeCERN 20160331195612.0 0270632CERCER cond-mat/9802201 eng ITAP-97-12-1 Bachteler, J Elastic Green's Function of Icosahedral Quasicrystals 1998 20 Feb 1998 8 p The elastic theory of quasicrystals considers, in addition to the normal displacement field, three phason degrees of freedom. We present an approximative solution for the elastic Green's function of icosahedral quasicrystals, assuming that the coupling between the phonons and phasons is small. LANL EDS SzGeCERN Condensed Matter PREPRINT Trebin, H R Eur. Phys. J. B http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9802201 Access to fulltext document juergenb@itap.physik.uni-stuttgart.de n 199808 11 20060909 0023 CER01 19980220 PUBLIC 000270632CER PREPRINT Hidden 348235 SzGeCERN 20160331195635.0 0272477CERCER cond-mat/9803078 eng Denton, A R Stability of Colloidal Quasicrystals 1998 Freezing of charge-stabilized colloidal suspensions and relative stabilities of crystals and quasicrystals are studied using thermodynamic perturbation theory. Macroion interactions are modelled by effective pair potentials combining electrostatic repulsion with polymer-depletion or van der Waals attraction. Comparing free energies -- counterion terms included -- for elementary crystals and rational approximants to icosahedral quasicrystals, parameters are identified for which one-component quasicrystals are stabilized by a compromise between packing entropy and cohesive energy. SIS UNC98 LANL EDS SzGeCERN Condensed Matter ARTICLE Löwen, H 469 2 Phys. Rev. Lett. 81 1998 http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9803078 Access to fulltext document adenton@iff002.iff.kfa-juelich.de Düsseldorf and Jülich Jülich n 199811 13 20070310 0017 CER01 19980309 PUBLIC 000272477CER ARTICLE Hidden 353283 SzGeCERN 20160331195727.0 0277707CERCER cond-mat/9804279 eng ITAP-98-4-1 Mikulla, R Crack propagation in quasicrystals 1998 Crack propagation is studied in a two dimensional decagonal model quasicrystal. The simulations reveal the dominating role of highly coordinated atomic environments as structure intrinsic obstacles for both dislocation motion and crack propagation. For certain overloads, these obstacles and the quasiperiodic nature of the crystal result in a specific crack propagation mechanism: The crack tip emits a dislocation followed by a phason wall, along which the material opens up. SIS UNC98 LANL EDS SzGeCERN Condensed Matter ARTICLE Stadler, J Krul, F Trebin, H R Gumbsch, P 3163 15 Phys. Rev. Lett. 81 1998 http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9804279 Access to fulltext document ralfm@itap.physik.uni-stuttgart.de n 199818 13 20070310 0018 CER01 19980427 PUBLIC 000277707CER ARTICLE Hidden 359679 SzGeCERN 20160331195847.0 0284413CERCER cond-mat/9807048 eng Roche, S Fermi surfaces and anomalous transport in quasicrystals 1998 Fermi surfaces of several quasicrystalline approximants are calculated by means of ab-initio methods which enable direct comparison with dHvA experiments. A criterion for anomalous metallic transport is proposed and power-law temperature dependence of electronic conductivity is deduced from scaling analysis of the Kubo formula. SIS UNC99 LANL EDS SzGeCERN Condensed Matter ARTICLE Fujiwara, T 11338 17 Phys. Rev. B 58 1998 http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9807048 Access to fulltext document roche@coral.t.u-tokyo.ac.jp n 199829 13 20060909 0025 CER01 19980714 PUBLIC 000284413CER ARTICLE Hidden 364172 SzGeCERN 20161219100329.0 0289168CERCER cond-mat/9809100 eng Baake, M Symmetry Structure of the Elser-Sloane Quasicrystal 1998 8 Sep 1998 5 p The 4D quasicrystal of Elser and Sloane, obtained from the root lattice E8 by the cut-and-project method, can be parametrized by the points of an 8D torus. This allows for an explicit analysis of its point and inflation symmetry structure. LANL EDS SzGeCERN Condensed Matter PREPRINT Gähler, F Baake, Michael Gähler, Franz http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9809100 Access to fulltext document baake@miles.math.ualberta.ca n 199837 11 20080515 1404 CER01 19980908 331202 alpedhuez970827 PUBLIC 000289168CER PREPRINT Hidden 366109 SzGeCERN 20161219100329.0 0291215CERCER math-ph/9809008 eng Baake, M Invariant Submodules and Semigroups of Self-Similarities for Fibonacci Modules 1998 24 Sep 1998 7 p The problem of invariance and self-similarity in Z-modules is investigated. For a selection of examples relevant to quasicrystals, especially Fibonacci modules, we determine the semigroup of self-similarities and encapsulate the number of similarity submodules in terms of Dirichlet series generating functions. LANL EDS SIS LANLPUBL2005 SIS:2005 PR/LKR added SzGeCERN Mathematical Physics and Mathematics ARTICLE Moody, R V Baake, Michael Moody, Robert V. http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=math-ph&id=9809008 Fulltext baake@miles.math.ualberta.ca n 199839 13 20080604 1229 CER01 19980924 331202 21-27 alpedhuez970827 PUBLIC 000291215CER ARTICLE Hidden 367439 SzGeCERN 20160331200109.0 0292606CERCER cond-mat/9810068 eng Kroha, J Correlation-enhanced Friedel oscillations in amorphous alloys and quasicrystals 1999 Karlsruhe Karlsruhe Fridericiana Univ. We show that quantum correlations induced by electron-electron interactions in the presence of random impurity scattering can play an important role in the thermal stabilization of amorphous Hume-Rothery systems: When there is strong backscattering off local, concentrical ion clusters, the static electron density response $\chi (0,q)$ acquires a powerlaw divergence at $q=2k_F$ even at elevated temperature. This leads to an enhancement as well as to a systematical phase shift of the Friedel oscillations, both consistent with experiments. The possible importance of this effect in icosahedral quasicrystals is discussed. LANL EDS SIS LANLPUBL2001 SIS:2001 PR/LKR added SzGeCERN Condensed Matter ARTICLE Kroha, Johann 865 J. Non-Cryst. Solids 250-252 1999 http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9810068 Access to fulltext document kroha@tkm.physik.uni-karlsruhe.de Universitat Karlsruhe n 199841 13 20070310 0022 CER01 19981008 PUBLIC 000292606CER ARTICLE Hidden 372434 SzGeCERN 20160331200220.0 0297777CERCER cond-mat/9811378 eng Cataldo, H M Stability of a hard-sphere binary quasicrystal 1999 The stability of a quasicrystalline structure, recently obtained in a molecular-dynamics simulation of rapid cooling of a binary melt, is analyzed for binary hard-sphere mixtures within a density-functional approach. It is found that this quasicrystal is metastable relative to crystalline and fluid phases for diameter ratios above 0.83. Such trend is partially reversed for lower diameter ratios, since the quasicrystal becomes stable with respect to the crystal but does not reach a coexistence with the fluid. SIS UNC2000 LANL EDS SzGeCERN Condensed Matter ARTICLE 1603 10 Philos. Mag., B 79 1999 http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9811378 Access to fulltext document cataldo@dfuba.df.uba.ar n 199848 13 20070310 0023 CER01 19981127 PUBLIC 000297777CER ARTICLE Hidden 373897 SzGeCERN 20160331200234.0 0299338CERCER cond-mat/9812139 eng Zhu, W J Phonon-phason coupling in icosahedral quasicrystals 1998 10 Dec 1998 7 p From relaxation simulations of decoration-based quasicrystal structure models using microscopically based interatomic pair potentials, we have calculated the (usually neglected) phonon-phason coupling constant. Its sign is opposite for the two alloys studied, i-AlMn and i-(Al,Cu)Li; a dimensionless measure of its magnitude relative to the phonon and phason elastic constants is of order 1/10, suggesting its effects are small but detectable. We also give a criterion for when phonon-phason effects are noticeable in diffuse tails of Bragg peaks. LANL EDS SzGeCERN Condensed Matter PREPRINT Henley, C L http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9812139 Access to fulltext document clh@msc.cornell.edu Cornell Univ. n 199850 11 20051227 0747 CER01 19981210 PUBLIC 000299338CER PREPRINT Hidden 374872 SzGeCERN 20160322232823.0 0300326CERCER math-ph/9812018 eng UT-MA-98-013 Draco, B Growth Rates in the Quaquaversal Tiling 1998 Tokyo Tokyo Univ. Dept. Phys. 21 Dec 1998 15 p Conway and Radin's ``quaquaversal'' tiling of R^3 is known to exhibit statistical rotational symmetry in the infinite volume limit. A finite patch, however, cannot be perfectly isotropic, and we compute the rates at which the anisotropy scales with size. In a sample of volume N, tiles appear in O(N^{1/6}) distinct orientations. However, the orientations are not uniformly populated. A small (O(N^{1/84})) set of these orientations account for the majority of the tiles. Furthermore, these orientations are not uniformly distributed on SO(3). Sample averages of functions on SO(3) seem to approach their ergodic limits as N^{-1/336}. Since even macroscopic patches of a quaquaversal tiling maintain noticable anisotropy, a hypothetical physical quasicrystal whose structure was similar to the quaquaversal tiling could be identified by anisotropic features of its electron diffraction pattern. LANL EDS SzGeCERN Mathematical Physics and Mathematics PREPRINT Sadun, L A Van Wieren, D Draco, Brimstone Sadun, Lorenzo Wieren, Douglas Van http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=math-ph&id=9812018 Access to fulltext document sadun@fireant.ma.utexas.edu n 199901 11 20060209 1932 CER01 19981221 PUBLIC 000300326CER PREPRINT Hidden 376877 SzGeCERN 20160322232705.0 0302369CERCER math-ph/9901008 eng Baake, M Limit-(quasi)periodic point sets as quasicrystals with p-adic internal spaces 1998 Model sets (or cut and project sets) provide a familiar and commonly used method of constructing and studying nonperiodic point sets. Here we extend this method to situations where the internal spaces are no longer Euclidean, but instead spaces with p-adic topologies or even with mixed Euclidean/p-adic topologies. We show that a number of well known tilings precisely fit this form, including the chair tiling and the Robinson square tilings. Thus the scope of the cut and project formalism is considerably larger than is usually supposed. Applying the powerful consequences of model sets we derive the diffractive nature of these tilings. LANL EDS SzGeCERN Mathematical Physics and Mathematics CERN quasiperiodic ARTICLE Moody, R V Schlottmann, M Baake, Michael Moody, Robert V. Schlottmann, Martin 5755-5765 J. Phys. A 31 1998 http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=math-ph&id=9901008 Access to fulltext document mbaake@pion09.tphys.physik.uni-tuebingen.de Edmonton Tuebingen n 199903 13 20070310 0019 CER01 19990119 PUBLIC 000302369CER ARTICLE Hidden 377890 SzGeCERN 20160322232717.0 0303397CERCER math-ph/9901014 eng Baake, M A guide to mathematical quasicrystals 1999 29 Jan 1999 34 p This introductory survey deals with mathematical and physical properties of discrete structures such as point sets and tilings. The emphasis is on proper generalizations of concepts and ideas from classical crystallography. In particular, we focus on their interplay with various physically motivated equivalence concepts such as local indistinguishability and local equivalence. Various discrete patterns with non-crystallographic symmetries are described in detail, and some of their magic properties are introduced. This perfectly ordered world is augmented by a brief introduction to the stochastic world of random tilings. LANL EDS SzGeCERN Mathematical Physics and Mathematics PREPRINT Baake, Michael http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=math-ph&id=9901014 Access to fulltext document mbaake@pion09.tphys.physik.uni-tuebingen.de Univ. of Tuebingen n 199904 11 20060610 0015 CER01 19990129 PUBLIC 000303397CER PREPRINT Hidden 379290 SzGeCERN 20171109142515.0 0304835CERCER mtrl-th/9608004 eng Ogut, S Anomalous effective charges and far IR optical absorption of $Al_{2}Ru$ from first principles 1996 12 Feb 1999 4 p For the orthorhombic intermetallic semiconductor Al$_2$Ru, the bandstructure, valence charge density, zone center optical phonon frequencies, and Born effective charge and electronic dielectric tensors are calculated using variational density functional perturbation theory with {\em ab initio} pseudopotentials and a plane wave basis set. Good agreement is obtained with recent measurements on polycrystalline samples which showed anomalously strong far IR absorption by optical phonons, while analysis of the valence charge density shows that the static ionic charges of Al and Ru are negligible. Hybridization is proposed as the single origin both of the semiconducting gap and the anomalous Born effective charges. Analogous behavior is expected in related compounds such as NiSnZr, PbTe, skutterudites, and Al-transition-metal quasicrystals. LANL EDS SzGeCERN Condensed Matter PREPRINT Rabe, K M Ogut, Serdar Rabe, Karin M. http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=mtrl-th&id=9608004 Access to fulltext document rabe@critical.eng.yale.edu n 199906 11 20060216 1932 CER01 19990212 PUBLIC 000304835CER PREPRINT Hidden 380908 SzGeCERN 20160322232754.0 0306496CERCER math-ph/9903011 eng Damanik, D Uniform spectral properties of one-dimensional quasicrystals; 1, Absence of eigenvalues 1999 8 Mar 1999 10 p We consider discrete one-dimensional Schrödinger operators with Sturmian potentials. For a full-measure set of rotation numbers including the Fibonacci case we prove absence of eigenvalues for all elements in the hull. LANL EDS SzGeCERN Mathematical Physics and Mathematics PREPRINT Lenz, D Damanik, David Lenz, Daniel http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=math-ph&id=9903011 Access to fulltext document dlenz@math.uni-frankfurt.de n 199910 11 20060610 0014 CER01 19990308 PUBLIC 000306496CER PREPRINT Hidden 381126 SzGeCERN 20160331200410.0 0306725CERCER cond-mat/9903063 eng Elser, V X-ray phase determination by the principle of minimum charge 1999 10 Mar 1999 26 p When the charge density in a crystal or a quasicrystal is reconstructed from its Fourier modes, the global minimum value of the density is sensitively dependent on the relative phases of the modes. The set of phases that maximizes the value of the global minimum, corresponds, by positivity of the density, to the charge density having the minimum total charge that is consistent with the measured Fourier amplitudes. Phases which minimize the total charge (i.e. the average charge density) also have the property that the lowest minima of the charge density become exactly degenerate and proliferate within the unit cell. The large number of degenerate minima have the effect that density maxima are forced to occupy ever smaller regions of the unit cell. Thus by minimizing charge, the atomicity of the charge density is enhanced as well. Charge minimization applied to simulated crystalline and quasicrystalline diffraction data successfully reproduces the correct phases starting from random initial values. LANL EDS SzGeCERN Condensed Matter PREPRINT Elser, Veit http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9903063 Access to fulltext document ve10@cornell.edu n 199910 11 20060610 0014 CER01 19990310 PUBLIC 000306725CER PREPRINT Hidden 381137 SzGeCERN 20160331200412.0 0306736CERCER cond-mat/9903074 eng Grimm, U Modelling Quasicrystal Growth 1999 10 Mar 1999 21 p Understanding the growth of quasicrystals poses a challenging problem, not the least because the quasiperiodic order present in idealized mathematical models of quasicrystals prohibit simple local growth algorithms. This can only be circumvented by allowing for some degree of disorder, which of course is always present in real quasicrystalline samples. In this review, we give an overview of the present state of theoretical research, addressing the problems, the different approaches and the results obtained so far. LANL EDS SzGeCERN Condensed Matter PREPRINT Joseph, D S Grimm, Uwe Joseph, Dieter http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9903074 Access to fulltext document u.grimm@physik.tu-chemnitz.de n 199910 11 20060610 0014 CER01 19990310 000306524 chemnitz970000 PUBLIC 000306736CER PREPRINT Hidden 381141 SzGeCERN 20160331200413.0 0306740CERCER cond-mat/9903078 eng Wittmann, R Comparing different approaches to model the atomic structure of a ternary decagonal quasicrystal 1999 10 Mar 1999 14 p It is shown that the covering approach with a single decagonal prototile can be transformed into a hexagon, boat and star tiling. Particularly, the atomic decoration recently proposed by Cockayne and Widom (Phys. Rev. Lett. 81, 598 (1998)) as a structure model for the decagonal phase is investigated. There, conflicts with the prototile approach arise which are due to specific peculiarities of the decoration. The above model is compared with recent experimental images which give strong support to its main features, but contradict competing structure proposals. The implications for the stabilization mechanism are discussed. LANL EDS SzGeCERN Condensed Matter PREPRINT Wittmann, Rolf Z. Krist. http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9903078 Access to fulltext document wittmann@lemming0.lem.uni-karlsruhe.de n 199910 11 20060610 0014 CER01 19990310 PUBLIC 000306740CER PREPRINT Hidden 381216 SzGeCERN 20160322232758.0 0306815CERCER math-ph/9903008 eng Kramer, P H Tiling theory applied to the surface structure of icosahedral AlPdMn quasicrystals 1999 10 Mar 1999 30 p Surfaces in i-Al68Pd23Mn9 as observed with STM and LEED experiments show atomic terraces in a Fibonacci spacing. We analyze them in a bulk tiling model due to Elser which incorporates many experimental data. The model has dodecahedral Bergman clusters within an icosahedral tiling T^*(2F) and is projected from the 6D face-centered hypercubic lattice. We derive the occurrence and Fibonacci spacing of atomic planes perpendicular to any 5fold axis, compute the variation of planar atomic densities, and determine the (auto-) correlation functions. Upon interpreting the planes as terraces at the surface we find quantitative agreement with the STM experiments. LANL EDS SzGeCERN Mathematical Physics and Mathematics PREPRINT Papadopoulos, Z Teuscher, H Kramer, Peter Papadopolos, Zorka Teuscher, Harald J. Phys. C http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=math-ph&id=9903008 Access to fulltext document peter.kramer@uni-tuebingen.de n 199910 11 20060916 0010 CER01 19990310 PUBLIC 000306815CER PREPRINT Hidden 382071 SzGeCERN 20160331200434.0 0307963CERCER cond-mat/9903263 eng Gulyaev, Y V Quasicrystals The technique for Describing of Quasiperiodic Structures 1999 18 Mar 1999 34 p In this paper, a technique for describing quasiperiodic structures is suggested, which allows one by the assigned matching to restore the atom density distribution formula of a corresponding quasicrystal. The algorithm to restore the atom density distribution has been considered on the example of the Penrose matching. The analytical record of a Penrose quasicrystal is given. LANL EDS SzGeCERN Condensed Matter PREPRINT Gulyaev, Vadim http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9903263 Access to fulltext document saa@vist.krascience.rssi.ru n 199911 11 20070129 1130 CER01 19990318 PUBLIC 000307963CER PREPRINT Hidden 383833 SzGeCERN 20160322232836.0 0309819CERCER math-ph/9904001 eng Kramer, P H Quasicrystals Atomic coverings and windows are dual projects 1999 Tübingen Tübingen Univ. In the window approach to quasicrystals, the atomic position space E_parallel is embedded into a space E^n = E_parallel + E_perp. Windows are attached to points of a lattice Lambda in E^n . For standard 5fold and icosahedral tiling models, the windows are perpendicular projections of dual Voronoi and Delone cells from Lambda. Their cuts by the position space E_parallel mark tiles and atomic positions. In the alternative covering approach, the position space is covered by overlapping copies of a quasi-unit cell which carries a fixed atomic configuration. The covering and window approach to quasicrystals are shown to be dual projects: D- and V-clusters are defined as projections to position space E_parallel of Delone or Voronoi cells. They are linked, cover position space and have definite windows. For functions compatible with the tilings they form domains of definition. Decagonal V-clusters in the Penrose tiling, related to the decagon covering, and two types of pentagonal D-clusters in the 5fold triangle tiling with their windows are analyzed. For icosahedral tilings the V-clusters are Kepler triacontahedra, the D-clusters are two icosahedra and one dodecahedron. SIS UNC99 LANL EDS SzGeCERN Mathematical Physics and Mathematics ARTICLE Kramer, Peter 5781 31 J. Phys. A 32 1999 http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=math-ph&id=9904001 Access to fulltext document peter.kramer@uni-tuebingen.de Institut fuer Theoretische Physik der Universitaet Tuebingen, Germany n 199913 13 20060916 0010 CER01 19990402 PUBLIC 000309819CER ARTICLE Hidden 384869 SzGeCERN 20160331200537.0 0310902CERCER cond-mat/9904230 eng Gazeau, J P A symmetry group of a Thue-Morse quasicrystal 1998 We present a method of coding general self-similar structures. In particular, we construct a symmetry group of a one-dimensional Thue-Morse quasicrystal, i.e., of a nonperiodic ground state of a certain translation-invariant, exponentially decaying interaction. LANL EDS SzGeCERN Condensed Matter ARTICLE Miekisz, J Gazeau, Jean-Pierre Miekisz, Jacek L435 J. Phys. A 31 1998 http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9904230 Access to fulltext document miekisz@hydra.mimuw.edu.pl n 199916 13 20060909 0026 CER01 19990419 PUBLIC 000310902CER ARTICLE Hidden 387658 SzGeCERN 20160331200651.0 0313750CERCER cond-mat/9905244 eng Skibinsky, A Quasicrystals in a Monodisperse System 1999 We investigate the formation of a two-dimensional quasicrystal in a monodisperse system, using molecular dynamics simulations of hard sphere particles interacting via a two-dimensional square-well potential. We find that more than one stable crystalline phase can form for certain values of the square-well parameters. Quenching the liquid phase at a very low temperature, we obtain an amorphous phase. By heating this amorphous phase, we obtain a quasicrystalline structure with five-fold symmetry. From estimations of the Helmholtz potentials of the stable crystalline phases and of the quasicrystal, we conclude that the observed quasicrystal phase can be the stable phase in a specific range of temperatures. SIS UNC99 LANL EDS SzGeCERN Condensed Matter ARTICLE Buldyrev, S V Scala, A Havlin, S Stanley, H E 2664 3 Phys. Rev. E 60 1999 http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9905244 Access to fulltext document askibins@trantor.bu.edu n 199920 13 20060916 0011 CER01 19990518 PUBLIC 000313750CER ARTICLE Hidden 387711 SzGeCERN 20160322232734.0 0313803CERCER math-ph/9905008 eng MP-ARC-99-184 Damanik, D Uniform spectral properties of one-dimensional quasicrystals; 2, The Lyapunov exponent 1999 18 May 1999 10 p In this paper we introduce a method that allows one to prove uniform local results for one-dimensional discrete Schrödinger operators with Sturmian potentials. We apply this method to the transfer matrices in order to study the Lyapunov exponent and the growth rate of eigenfunctions. This gives uniform vanishing of the Lyapunov exponent on the spectrum for all irrational rotation numbers. For irrational rotation numbers with bounded continued fraction expansion, it gives uniform existence of the Lyapunov exponent on the whole complex plane. Moreover, it yields uniform polynomial upper bounds on the growth rate of transfer matrices for irrational rotation numbers with bounded density. In particular, all our results apply to the Fibonacci case. SIS MPARC2000 LANL EDS SzGeCERN Mathematical Physics and Mathematics PREPRINT PREPRINT Lenz, D Damanik, David Lenz, Daniel http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=math-ph&id=9905008 Access to fulltext document http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=99-184 Abstract from Mathematical Physics Preprint Archive mp_arc, Texas Univ. http://www.ma.utexas.edu/mp_arc/c/99/99-184.ps.gz Fulltext dlenz@math.uni-frankfurt.de n 199920 11 20060610 0013 CER01 19990518 PUBLIC 000313803CER PREPRINT Hidden 393058 SzGeCERN 20160407133503.0 0319284CERCER math.LA/9907054 eng MSRI-1999-040 math/9907054 Masakova, Z s-convexity, model sets and their relation 1999 Berkeley, CA Math. Sci. Res. Inst. 9 Jul 1999 mult. p The relation of s-convexity and sets modeling physical quasicrystals is explained for quasicrystals related to quadratic unitary Pisot numbers. We show that 1-dimensional model sets may be characterized by s-convexity for finite set of parameters s. It is shown that the three Pisot numbers observed non-crystallographic symmetries are exceptional with respect to s-convexity. LANL EDS SzGeCERN Mathematical Physics and Mathematics PREPRINT Patera, J Pelantová, E Masáková, Zuzana Patera, J Pelantová, Edita http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=math.LA&id=9907054 Access to fulltext document patera@crm.umontreal.ca n 199927 11 20060211 0009 CER01 19990709 PUBLIC 000319284CER PREPRINT Hidden 393208 SzGeCERN 20160331200835.0 0319439CERCER UNCOVER 251,126,147,131 cond-mat/9907160 eng Abe, E A quasi-unit cell model for Al-Ni-Co Ideal Quasicrystal based on clusters with broken 10-fold symmetry 2000 We have constructed a structural solution for the $Al_{72}Ni_{20}Co_{8}$ decagonal quasicrystal based on the quasi-unit cell picture. The solution gives a significantly improved fit to experiments compared to a previous proposal by us while retaining the feature that the fundamental, repeating cluster has broken 10-fold symmetry. We present a series of arguments, including new evidence based on high-resolution transmission electron microscopy, which supports this solution over alternatives with 10-fold symmetric clusters. LANL EDS SIS UNC2002 SzGeCERN Condensed Matter ARTICLE Saitô, K Takakura, H Tsai, A P Steinhardt, Paul Joseph Jeong, H C 4609 20 Phys. Rev. Lett. 84 2000 http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9907160 Access to fulltext document steinh@feynman.princeton.edu n 199928 13 20061209 0029 CER01 19990713 PUBLIC 000319439CER ARTICLE Hidden 394435 SzGeCERN 20160407133509.0 0320691CERCER math.MG/9907156 eng math/9907156 Baake, M Averaged shelling for quasicrystals 2000 26 Jul 1999 4 p The shelling of crystals is concerned with counting the number of atoms on spherical shells of a given radius and a fixed centre. Its straight-forward generalization to quasicrystals, the so-called central shelling, leads to non-universal answers. As one way to cope with this situation, we consider shelling averages over all quasicrystal points. We express the averaged shelling numbers in terms of the autocorrelation coefficients and give explicit results for the usual suspects, both perfect and random. LANL EDS SIS LANLPUBL2002 SIS:2002 PR/LKR added SzGeCERN Mathematical Physics and Mathematics ARTICLE Grimm, U Joseph, D S Repetowicz, P Baake, Michael Grimm, Uwe Joseph, Dieter Repetowicz, Przemyslaw 441-445 Mater. Sci. Eng. A 294-296 2000 http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=math.MG&id=9907156 Access to fulltext document mbaake@pion09.tphys.physik.uni-tuebingen.de Chemnitz Dresden Tuebingen n 199930 13 20060830 0004 CER01 19990726 PUBLIC 000320691CER ARTICLE Hidden 394651 SzGeCERN 20160331200913.0 0320908CERCER cond-mat/9907406 eng Roche, S Anomalous electronic conductance in quasicrystals 1999 28 Jul 1999 9 p Generic quantum interference effects occuring in 1D-quasicrystals are shown and discussed in details. By defining specific geometrical defects, so-called phasons, one shows that conversely to metallic systems quantum conductance in quasiperiodic systems enclosed original behavior with respect to the alteration of its properties while downgrading long range order. This is in close conjunction with the still open problematic in real quasicrystalline materials. LANL EDS SzGeCERN Condensed Matter PREPRINT Roche, Stephan http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9907406 Access to fulltext document roche@coral.t.u-tokyo.ac.jp n 199930 11 20060610 0011 CER01 19990728 PUBLIC 000320908CER PREPRINT Hidden 395251 SzGeCERN 20160331200922.0 0321566CERCER cond-mat/9907476 eng Roche, S Quantum interferences in quasicrystals 1999 2 Aug 1999 5 p Contributions of quantum interference effects occuring in quasicrystals are emphasized. First conversely to metallic systems, quasiperiodic ones are shown to enclose original alterations of their conductive properties while downgrading long range order. Besides, origins of localization mechanisms are outlined within the context of the original metal-insulator transition (MIT) found in these materials. LANL EDS SzGeCERN Condensed Matter PREPRINT Roche, Stephan http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9907476 Access to fulltext document roche@coral.t.u-tokyo.ac.jp n 199931 11 20060610 0011 CER01 19990802 PUBLIC 000321566CER PREPRINT Hidden 398941 SzGeCERN 20160407133524.0 0325404CERCER math.DS/9909033 eng math/9909033 Lagarias, J C Repetitive Delone Sets and Quasicrystals 1999 7 Sep 1999 34 p This paper considers the problem of characterizing the simplest discrete point sets that are aperiodic, using invariants based on topological dynamics. A Delone set whose patch-counting function N(T), for radius T, is finite for all T is called repetitive if there is a function M(T) such that every ball of radius M(T)+T contains a copy of each kind of patch of radius T that occurs in the set. This is equivalent to the minimality of an associated topological dynamical system with R^n-action. There is a lower bound for M(T) in terms of N(T), namely N(T) = O(M(T)^n), but no general upper bound. The complexity of a repetitive Delone set can be measured by the growth rate of its repetitivity function M(T). For example, M(T) is bounded if and only if the set is a crystal. A set is called is linearly repetitive if M(T) = O(T) and densely repetitive if M(T) = O(N(T))^{1/n}). We show that linearly repetitive sets and densely repetitive sets have strict uniform patch frequencies, i.e. the associated topological dynamical system is strictly ergodic. It follows that such sets are diffractive. In the reverse direction, we construct a repetitive Delone set in R^n which has M(T) = O(T(log T)^{2/n}(log log log T)^{4/n}), but does not have uniform patch frequencies. Aperiodic linearly repetitive sets have many claims to be the simplest class of aperiodic sets, and we propose considering them as a notion of "perfectly ordered quasicrystal". LANL EDS SzGeCERN Mathematical Physics and Mathematics PREPRINT Pleasants, P A B Lagarias, Jeffery C. Pleasants, Peter A. B. Ergodic Theory Dyn. Syst. http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=math.DS&id=9909033 Access to fulltext document pleasants_p@usp.ac.fj n 199936 11 20060916 0012 CER01 19990907 PUBLIC 000325404CER PREPRINT Hidden 400803 SzGeCERN 20160331201053.0 0327401CERCER cond-mat/9909272 eng Lifshitz, R Magnetic quasicrystals What can we expect to see in their neutron diffraction data? 1999 21 Sep 1999 4 p The theory of magnetic symmetry in quasicrystals is used to characterize the nature of magnetic peaks, expected in elastic neutron diffraction experiments. It is established that there is no symmetry-based argument which forbids the existence of quasiperiodic long-range magnetic order. Suggestions are offered as to where one should look for the simplest kinds of antiferromagnetic quasicrystals. LANL EDS SzGeCERN Condensed Matter PREPRINT Lifshitz, Ron Mater. Sci. Eng. A http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9909272 Access to fulltext document lifshitz@cco.caltech.edu n 199938 11 20060916 0012 CER01 19990921 PUBLIC 000327401CER PREPRINT Hidden 401515 SzGeCERN 20121218232826.0 oai:cds.cern.ch:401515 cerncds:FULLTEXT 0328144CERCER EXT-99-017 eng SFB-288-P-340 Forrest, A H Projection quasicrystals; 1, toral rotations 1998 Berlin Berlin TU. Diff. Geom. Quantenphys. 1 Sep 1998 42 p CERN EDS SzGeCERN Mathematical Physics and Mathematics PREPRINT Hunton, J Kellendonk, J http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=ext&id=EXT-99-017 Access to fulltext document http://cds.cern.ch/record/401515/files/ext-99-017.pdf Access to fulltext document http://cds.cern.ch/record/401515/files/ext-99-017.ps.gz Access to fulltext document Lamihe.Hedayati@cern.ch Sfb n 199939 11 20060209 1933 CER01 19990927 PUBLIC 000328144CER PREPRINT 401791 SzGeCERN 20160322232709.0 0328440CERCER SLAC 4326288 SPIRES 4326288 Inspire 514022 math-ph/9909032 eng Novikov, S P The Levels of Quasiperiodic Functions on the plane, Hamiltonian Systems and Topology 1999 29 Sep 1999 4 p Topology of levels of the quasiperiodic functions with m=n+2 periods on the plane is studied. For the case of functions with m=4 periods full description is obtained for the open everywhere dense family of functions. This problem is equivalent to the study of Hamiltonian systems on the (n+2)-torus with constant rank 2 Poisson bracket. In the cases under investigation we proved that this system is topologically completely integrable in some natural sence where interesting integer-valued locally stable topological characteristics appear. The case of 3 periods has been extensively studied last years by the present author, Zorich, Dynnikov and Maltsev for the needs of solid state physics (''Galvanomagnetic Phenomena in Normal Metals''); The case of 4 periods might be useful for Quasicrystals. LANL EDS SIS LANLPUBL2005 SIS:2005 PR/LKR added SzGeCERN Mathematical Physics and Mathematics ARTICLE 1031-1032 5 Russ. Math. Surv. 54 1999 http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=math-ph&id=9909032 Access to fulltext document novikov@ipstmail.umd.edu University of Maryland-College Park and Landau Institute for Theoretical Physics-Moscow n 199939 13 20100422 1356 CER01 19990929 PUBLIC 000328440CER ARTICLE Hidden 403399 SzGeCERN 20160322232724.0 CERCER 0330088 UNCOVER 251,135,193,197 math-ph/9910017 eng MP-ARC-2000-41 Damanik, D Uniform spectral properties of one-dimensional quasicrystals; 3, $\alpha$-continuity 2000 Frankfurt am Main Frankfurt am Main Univ. We study the spectral properties of discrete one-dimensional Schrödinger operators with Sturmian potentials. It is shown that the point spectrum is always empty. Moreover, for rotation numbers with bounded density, we establish purely $\alpha$-continuous spectrum, uniformly for all phases. The proofs rely on the unique decomposition property of Sturmian potentials, a mass-reproduction technique based upon a Gordon-type argument, and on the Jitomirskaya-Last extension of the Gilbert-Pearson theory of subordinacy. LANL EDS SIS UNC2001 SIS MPARC2000 SzGeCERN Mathematical Physics and Mathematics ARTICLE Killip, R B Lenz, D Damanik, David Killip, Rowan Lenz, Daniel 191 1 Commun. Math. Phys. 212 2000 http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=math-ph&id=9910017 Access to fulltext document http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=00-41 Abstract from Mathematical Physics Preprint Archive mp_arc, Texas Univ. http://www.ma.utexas.edu/mp_arc/c/00/00-41.ps.gz Fulltext dlenz@math.uni-frankfurt.de n 199941 13 20061209 0027 CER01 19991013 PUBLIC 000330088CER ARTICLE Hidden 002224248CER01 405557 SzGeCERN 20160331201221.0 0332317CERCER cond-mat/9910478 eng De Laissardière, G T Conditions on the Occurrence of Magnetic Moments in Quasicrystals and Related Phases 1999 29 Oct 1999 4 p We analyze the criterion for the appearance of magnetic moments in quasicrystals approximants and liquids Al-Mn. In a Hartree-Fock scheme, it is shown that the Stoner criterion (Un_d(E_F) > 1) does not apply to these systems due to the presence of the pseudogap in the density of states. We give an generalized criterion that can take into account the particular density of state. The main result is that the appearance of a magnetic moment on a Mn atom depends strongly on its position in the crystalline structure. Indeed some particular positions of the Mn atoms lead to magnetic moments whereas other positions are more stable when the Mn is non-magnetic. This criterion is used to analyzed the electronic structure of two approximants (1/1-Al-Pd-Mn-Si and T-Al-Pd-Mn) calculated by the self-consistent LMTO-ASA method. LANL EDS SzGeCERN Condensed Matter PREPRINT Mayou, D Laissardiere, Guy Trambly de Mayou, Didier http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9910478 Access to fulltext document guy.trambly@ptm.u-cergy.fr n 199943 11 20060610 0009 CER01 19991029 PUBLIC 000332317CER PREPRINT Hidden 407081 SzGeCERN 20121218233547.0 oai:cds.cern.ch:407081 cerncds:FULLTEXT 0333889CERCER EXT-99-023 eng SFB-288-P-396 Forrest, A H Projection quasicrystals; 2, versus substitution tilings 1999 Berlin Berlin TU. Diff. Geom. Quantenphys. 16 Jun 1999 33 p CERN EDS SzGeCERN Mathematical Physics and Mathematics PREPRINT Hunton, J Kellendonk, J http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=ext&id=EXT-99-023 Access to fulltext document http://cds.cern.ch/record/407081/files/ext-99-023.pdf Access to fulltext document http://cds.cern.ch/record/407081/files/ext-99-023.ps.gz Access to fulltext document Lamihe.Hedayati@cern.ch n 199945 11 20060211 0012 CER01 19991109 PUBLIC 000333889CER PREPRINT 409621 SzGeCERN 20160331201300.0 0336671CERCER cond-mat/9911426 eng Haberkern, R Electronic Transport Properties of Quasicrystalline Thin Films 1999 29 Nov 1999 17 p Quasicrystals are assumed to be electronically stabilized by a Hume-Rothery type mechanism. This explains most of the peculiar properties of quasicrystals. The stabilization is investigated by electronic transport properties, as they depend sensitively on the stabilizing interaction between the static structure and the conduction electrons. Thin-film techniques provide samples which are well suited for systematic investigations as a function of composition and structural quality for Al-Cu-Fe and Al-Pd-Re i-phases. For a narrow range of composition, large transport anomalies occur, reaching a metal-insulator-transition in thin films of i-Al-Pd-Re. We discuss this in the framework of a resonant scattering of the conduction electrons with the quasicrystalline structure, leading to a reduced electronic mobility and density of states (DOS) at the Fermi energy $E_F$. LANL EDS SzGeCERN Condensed Matter PREPRINT Haberkern, Roland http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9911426 Access to fulltext document r.haberkern@physik.tu-chemnitz.de n 199948 11 20060610 0008 CER01 19991129 000306524 chemnitz970000 PUBLIC 000336671CER PREPRINT Hidden 411095 SzGeCERN 20160322232721.0 0338589CERCER math-ph/9912005 eng MP-ARC-99-472 Damanik, D Gordon-type arguments in the spectral theory of one-dimensional quasicrystals 1999 7 Dec 1999 28 p We review the recent developments in the spectral theory of discrete one-dimensional Schrödinger operators with potentials generated by substitutions and circle maps. We discuss how occurrences of local repetitive structures allow for estimates of generalized eigenfunctions. Among the recent applications of this general approach are almost sure and uniform results on the absence of eigenvalues as well as continuity of the spectral measures with respect to Hausdorff measures. LANL EDS SzGeCERN Mathematical Physics and Mathematics PREPRINT PREPRINT http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=math-ph&id=9912005 Access to fulltext document http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=99-472 Abstract from Mathematical Physics Preprint Archive mp_arc, Texas Univ. http://www.ma.utexas.edu/mp_arc/c/99/99-472.ps.gz Fulltext damanik@its.caltech.edu Caltech n 199949 11 20060610 0008 CER01 19991207 PUBLIC 000338589CER PREPRINT Hidden 411267 SzGeCERN 20160331201313.0 0338764CERCER cond-mat/9912113 eng Mayou, D Anomalous Quantum Diffusion and Conductivity of Quasicrystals 1999 8 Dec 1999 4 p A phenomenological diffusion law $L(t)\propto t^{\beta}$, where L(t) measures the spreading of a wave-packet in a time t, is assumed for perfect quasicrystals. We show that it affects their conductivity with striking differences compared to the case of periodic metals. In the absence of defects the dissipative part of conductivity is non zero even at low frequencies contrary to the case of crystals. Also if $\beta<1/2$ the d.c. conductivity increases when disorder increases and the so-called Drude peak, characteristic of metals, is replaced by a dip . Experimental results are briefly discussed. LANL EDS SzGeCERN Condensed Matter PREPRINT Mayou, Didier http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9912113 Access to fulltext document mayou@lepes.polycnrs-gre.fr n 199949 11 20060610 0008 CER01 19991208 PUBLIC 000338764CER PREPRINT Hidden 412575 SzGeCERN 20161219122210.0 0340100CERCER cond-mat/9912343 eng Vidal, J Interactions in Quasicrystals 1999 21 Dec 1999 9 p Although the effects of interactions in solid state systems still remains a widely open subject, some limiting cases such as the three dimensional Fermi liquid or the one-dimensional Luttinger liquid are by now well understood when one is dealing with interacting electrons in {\it periodic} crystalline structures. This problem is much more fascinating when periodicity is lacking as it is the case in {\it quasicrystalline} structures. Here, we discuss the influence of the interactions in quasicrystals and show, on a controlled one-dimensional model, that they lead to anomalous transport properties, intermediate between those of an interacting electron gas in a periodic and in a disordered potential. LANL EDS SzGeCERN Condensed Matter PREPRINT Mouhanna, D Giamarchi, T Vidal, Julien Mouhanna, Dominique Giamarchi, Thierry http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=9912343 Access to fulltext document giam@lps.u-psud.fr n 199951 11 20060610 0008 CER01 19991221 389828 seattle990910 PUBLIC 000340100CER PREPRINT Hidden 419941 SzGeCERN 20160331201348.0 2166095CERCER cond-mat/0001060 eng Velhinho, M T Lyapunov exponent for pure and random Fibonacci chains 2000 2000 We study the Lyapunov exponent for electron and phonon excitations, in pure and random Fibonacci quasicrystal chains, using an exact real space renormalization group method, which allows the calculation of the Lyapunov exponent as a function of the energy. It is shown that the Lyapunov exponent on a pure Fibonacci chain has a self-similar structure, characterized by a scaling index that is independent of the energy for the electron excitations, ''diagonal'' or ''off-diagonal'' quasiperiodic, but is a function of the energy for the phonon excitations. This scaling behavior implies the vanishing of the Lyapunov exponent for the states on the spectrum, and hence the absence of localization on the Fibonacci chain, for the various excitations considered. It is also shown that disordered Fibonacci chains, with random tiling that introduces phason flips at certain sites on the chain, exhibit the same Lyapunov exponent as the pure Fibonacci chain, and hence this type of disorder is irrelevant, either in the case of electron or phonon excitations. LANL EDS SzGeCERN Condensed Matter ARTICLE Pimentel, I R 1043 Phys. Rev. B 61 2000 http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0001060 Access to fulltext document iveta@alf1.cii.fc.ul.pt n 200001 13 20061209 0025 CER01 20000107 PUBLIC 002166095CER ARTICLE Hidden 421509 SzGeCERN 20160331201401.0 2169263CERCER cond-mat/0001209 eng Haberkern, R Magnetoconductivity of icosahedral and amorphous Al-Pd-Re films a comparison 2000 17 Jan 2000 4 p The magnetoconductivity of quasicrystals is often discussed in the frame of quantum corrections, namely weak (anti-) localiza-tion and electron-electron interaction. A premise for both effects is a strong elastic scattering of conduction electrons. Amorphous and icosahedral phases are discussed as Hume-Rothery alloys with an electronically induced structural peak at the diameter of the Fermi sphere. Therefore, both should exhibit quantum corrections. The preparation of quasicrystalline films via the amorphous route offers the possibility to compare the magnetoconductivity on samples of identical composition but different structure. We report on magnetoconduc-tivity measurements at temperatures between 0.2 K and 22 K and for magnetic fields up to 16 T. With the exception of the electronic diffusion constant, amorphous as well as icosahedral Al-Pd-Re films can be described by nearly the same set of parameters if the samples are well on the metallic side of the metal-insulator transition. LANL EDS SzGeCERN Condensed Matter PREPRINT Rosenbaum, R Bekar, H Pilosof, N Milner, A Gerber, A B Häussler, P http://preprints.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0001209 Access to fulltext document r.haberkern@physik.tu-chemnitz.de n 200003 11 20060314 1223 CER01 20000117 000316274 stuttgart990920 PUBLIC 002169263CER PREPRINT Hidden 427540 SzGeCERN 2176812CERCER UNCOVER 251,119,194,195 eng Rochal, S B Symmetry of the atomic displacement field at the quasicrystal-to-crystal phase transition 1999 SIS UNC2000 SzGeCERN XX ARTICLE 12687 18 Phys. Rev. B 60 1999 n 200052 13 20060916 0013 CER01 20000221 PUBLIC 002176812CER ARTICLE 429104 SzGeCERN 20160407220351.0 2178446CERCER cs.DM/0003002 eng cs/0003002 Guimond, L S Combining Random Number Generators using Quasicrystals 2000 1 Mar 2000 mult. p This paper discusses the use of aperiodic sequences in combining randomnumber generators (RNG). We introduce a method for combining two or three RNGsusing cut and project sequences. This method allows the generation of aperiodicnumber sequences that cannot be distinguished from a truly random sequenceusing the spectral test (when the generated sequence is sufficiently long). Webriefly address the question of space and time complexity of cut and projectsequence generation. Finally, we discuss some possible generalizations of themethod. LANL EDS SzGeCERN Computing and Computers PREPRINT LANL EDS Discrete Mathematics Masakova, Z Patera, J Pelantová, E Guimond, Louis-Sebastien Masakova, Zuzana Patera, Jiri Pelantova, Edita http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cs.DM&id=0003002 Access to fulltext document guimond@crm.umontreal.ca n 200009 11 20051227 0754 CER01 20000302 PUBLIC 002178446CER PREPRINT Hidden 430379 SzGeCERN 20160331233945.0 2179757CERCER cond-mat/0003159 eng Roth, J Solid-phase structures of the Dzugutov pair potential 2000 In recent computer simulations of a simple monatomic system interacting viathe Dzugutov pair potential, freezing of the fluid into an equilibriumdodecagonal quasicrystal has been reported [M. Dzugutov, Phys. Rev. Lett. 70,2924 (1993)]. Here, using a combination of molecular dynamics simulation andthermodynamic perturbation theory, we conduct a detailed analysis of therelative stabilities of solid-phase structures of the Dzugutov-potentialsystem. At low pressures, the most stable structure is found to be a bcccrystal, which gives way at higher pressures to an fcc crystal. Although adodecagonal quasicrystal and a sigma-phase crystal compete with the bcc crystalfor stability, they remain always metastable. LANL EDS SIS LANLPUBL2002 SIS:2002 PR/LKR added SzGeCERN Condensed Matter ARTICLE LANL EDS Statistical Mechanics LANL EDS Soft Condensed Matter Denton, A R 6845-6857 Phys. Rev. E 61 2000 http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=:cond-mat&id=0003159 Access to fulltext document alan.denton@acadiau.ca n 200010 13 20061209 0023 CER01 20000310 PUBLIC 002179757CER ARTICLE Hidden 430883 SzGeCERN 20160407220341.0 2180271CERCER cs.DM/0003063 eng cs/0003063 Guimond, L S Statistics and implementation of APRNGs 2000 14 Mar 2000 mult. p We show how quasicystals can be used to improve the statistical properties of PRNGs. We discuss the statistical properties of both the aperiodic pseudorandom number generators (APRNGs) and the aperiodic pseudorandom bit generators (APRBGs). We show that there exists a class of APRNGs which generate pseudorandom sequences that cannot be distinguished from a truly random sequence using the spectral test (when the generated sequence is sufficiently long). We give empirical results using the Diehard test suite and the Maurer test. Finally, we describe the implementation of numeric and symbolic methods for generating quasicrystal points and discuss their respective computational complexity. LANL EDS SzGeCERN Computing and Computers PREPRINT LANL EDS Discrete Mathematics Patera, J Patera, J Guimond, Louis-Sebastien Patera, Jan Patera, Jiri http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cs.DM&id=0003063 Access to fulltext document guimond@crm.umontreal.ca n 200011 11 20051227 0754 CER01 20000315 PUBLIC 002180271CER PREPRINT Hidden 434076 SzGeCERN 20160331234013.0 2183645CERCER cond-mat/0004126 eng Henley, C L Structure determinations for random-tiling quasicrystals 2000 9 Apr 2000 19 p How, in principle, could one solve the atomic structure of a quasicrystal, modeled as a random tiling decorated by atoms, and what techniques are available to do it? One path is to solve the phase problem first, obtaining the density in a higher dimensional space which yields the_averaged_ scattering density in 3-dimensional space by the usual construction of an incommensurate cut. A novel direct method for this is summarized and applied to an i(AlPdMn) data set. This averaged density falls short of a true structure determination (which would reveal the typical_unaveraged_ atomic patterns.) We discuss the problematic validity of inferring an ideal structure by simply factoring out a ``perp-space'' Debye-Waller factor, and we test this using simulations of rhombohedral tilings. A second, ``unified'' path is to relate the measured and modeled intensities directly, by adjusting parameters in a simulation to optimize the fit. This approach is well suited for unifying structural information from diffraction and from minimizing total energies derived ultimately from ab-initio calculations. Finally, we discuss the special pitfalls of fitting random-tiling decagonal phases. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Materials Science LANL EDS Condensed Matter Elser, V Mihalkovic, M http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0004126 Access to fulltext document clh@ccmr.cornell.edu Cornell Univ. n 200015 11 20051227 0755 CER01 20000411 PUBLIC 002183645CER PREPRINT Hidden 434725 SzGeCERN 20160331234020.0 2184333CERCER cond-mat/0004233 eng Fujita, N New Classes of Quasicrystals and Marginal Critical States 2000 One-dimensional quasilattices, namely, the geometrical objects to represent quasicrystals, are classified into mutual local-derivability (MLD) classes. Besides the familiar class, there exist an infinite number of new MLD-classes, and different MLD-classes are distinguished by the inflation rules of their representatives. It has been found that one-electron properties of a new MLD-class are characterized by the presence of marginal critical states, which are considered to be nearly localized states. LANL EDS SIS LANLPUBL2002 SIS:2002 PR/LKR added SzGeCERN Condensed Matter ARTICLE LANL EDS Materials Science LANL EDS Condensed Matter Niizeki, K Fujita, Nobuhisa Niizeki, Komajiro 4924 Phys. Rev. Lett. 85 2000 http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0004233 Access to fulltext document nobuhisa@cmpt01.phys.tohoku.ac.jp n 200016 13 20071201 0014 CER01 20000417 PUBLIC 002184333CER ARTICLE Hidden 440658 SzGeCERN 20160331234124.0 2190626CERCER cond-mat/0006018 eng Zijlstra, E B Non-spiky density of states of an icosahedral quasicrystal 2000 1 Jun 2000 7 p The density of states of the ideal three-dimensional Penrose tiling, a quasicrystalline model, is calculated with a resolution of 10 meV. It is not spiky. This falsifies theoretical predictions so far, that spikes of width 10-20 meV are generic for the density of states of quasicrystals, and it confirms recent experimental findings. The qualitative difference between our results and previous calculations is partly explained by the small number of k points that has usually been included in the evaluation of the density of states of periodic approximants of quasicrystals. It is also shown that both the density of states of a small approximant of the three-dimensional Penrose tiling and the density of states of the ideal two-dimensional Penrose tiling do have spiky features, which also partly explains earlier predictions. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Condensed Matter Janssen, T http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0006018 Access to fulltext document eeuwe@sci.kun.nl n 200022 11 20051227 0756 CER01 20000602 PUBLIC 002190626CER PREPRINT Hidden 445422 SzGeCERN 20160331235350.0 2196137CERCER cond-mat/0006469 eng Brown, K S Solving the phase problem in i(AlPdMn) 2000 29 Jun 2000 4 p We apply a new technique for ab initio phase determination [Acta Crystallogr. Sect. A, A55, 48 (1999)] to solve for the average structure of the icosahedral (i) phase of AlPdMn. After an introduction to the crystallographic phase problem and a description of the method, we present a brief report of our findings for the structure of i(AlPdMn). Despite the use of data from extremely high quality samples, we find strong evidence of disorder in the structure, lending support to the random tiling model of quasicrystal stabilization. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Condensed Matter Avanesov, A A Elser, V Phys. Rev. Lett. http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0006469 Access to fulltext document ksb12@cornell.edu n 200026 11 20051227 0757 CER01 20000630 PUBLIC 002196137CER PREPRINT Hidden 450692 SzGeCERN 20160407214906.0 2201747CERCER math.MG/0008063 eng math/0008063 Baake, M Self-Similar Measures for Quasicrystals 2000 8 Aug 2000 42 p We study self-similar measures of Hutchinson type, defined by compact families of contractions, both in a single and multi-component setting. The results are applied in the context of general model sets to infer, via a generalized version of Weyl's Theorem on uniform distribution, the existence of invariant measures for families of self-similarities of regular model sets. LANL EDS SzGeCERN Mathematical Physics and Mathematics PREPRINT LANL EDS Metric Geometry LANL EDS Mathematics Moody, R V Baake, Michael Moody, Robert V. http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=math.MG&id=0008063 Access to fulltext document mbaake@pion09.tphys.physik.uni-tuebingen.de Edmonton Tuebingen n 200032 11 20051227 0758 CER01 20000809 PUBLIC 002201747CER PREPRINT Hidden 450855 SzGeCERN 20160331235428.0 2201917CERCER cond-mat/0008152 eng Lifshitz, R The definition of quasicrystals 2000 9 Aug 2000 mult. p It is argued that the definition of quasicrystals should not include the requirement that they possess an axis of symmetry that is forbidden in periodic crystals. The term "quasicrystal" should simply be regarded as an abbreviation for "quasiperiodic crystal," possibly with two provisos, as discussed below. The argument is supported by theoretical as well as experimental examples of quasicrystals without any forbidden symmetry. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Materials Science LANL EDS Condensed Matter Lifshitz, Ron Ferroelectronics http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0008152 Access to fulltext document ronlif@post.tau.ac.il Tel Aviv University n 200032 11 20051227 0758 CER01 20000810 PUBLIC 002201917CER PREPRINT Hidden 455417 SzGeCERN 20160331235444.0 CERCER 2207288 cond-mat/0006062 eng Baake, M Root lattices and quasicrystals 1990 Dresden Max-Planck Inst. It is shown how root lattices and their reciprocals might serve as the right pool for the construction of quasicrystalline structure models. All non-periodic symmetries observed so far are covered in minimal embedding with maximal symmetry. LANL EDS SzGeCERN Condensed Matter ARTICLE LANL EDS Disordered Systems and Neural Networks LANL EDS Statistical Mechanics LANL EDS Mathematical Physics LANL EDS Metric Geometry LANL EDS Condensed Matter Joseph, D S Kramer, P H Schlottmann, M L1037-L1041 J. Phys. A 23 1990 http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0006062 Access to fulltext document joseph@mpipks-dresden.mpg.de n 200035 13 20060912 2038 CER01 20000829 PUBLIC 002207288CER ARTICLE Hidden 456137 SzGeCERN 20121219003048.0 oai:cds.cern.ch:456137 cerncds:FULLTEXT 2208038CERCER EXT-2000-201 eng SFB-288-P-459 Forrest, A H Projection Quasicrystals 3 Cohomology 2000 Berlin Berlin TU. Diff. Geom. Quantenphys. 1 Apr 2000 22 p CERN EDS SzGeCERN Mathematical Physics and Mathematics PREPRINT Hunton, J R Kellendonk, J http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=ext&id=ext-2000-201 Access to fulltext document http://cds.cern.ch/record/456137/files/ext-2000-201.pdf Access to fulltext document http://cds.cern.ch/record/456137/files/ext-2000-201.ps.gz Access to fulltext document Lamihe.Hedayati@cern.ch n 200036 11 20051227 0759 CER01 20000904 PUBLIC 002208038CER PREPRINT 462146 SzGeCERN 2214913CERCER eng Verger-Gaugry, J L Generalized Meyer Sets And Thue-morse Quasicrystals With Toric Internal Spaces 1998 1998 mult. p SzGeCERN Mathematical Physics and Mathematics PREPRINT Wolny, J http://www-fourier.ujf-grenoble.fr/PREP/html/a420/a420.html Abstract n 200038 11 20070605 2043 CER01 20000921 PUBLIC 002214913CER PREPRINT 462402 SzGeCERN 2215174CERCER eng Verger-Gaugry, J L Mathematical Quasicrystals With Toric Internal Spaces, Diffraction And Thue-morse Sequence 1999 1999 mult. p SzGeCERN Mathematical Physics and Mathematics PREPRINT Wolny, J Patera, J http://www-fourier.ujf-grenoble.fr/PREP/html/a458/a458.html Abstract n 200038 11 20070605 2043 CER01 20000921 PUBLIC 002215174CER PREPRINT 466386 SzGeCERN 20160331235512.0 2219612CERCER cond-mat/0009422 eng Niizeki, K Classification of One-dimensional Quasilattices into Mutual Local-Derivability Classes 2002 27 Sep 2000 25 p One-dimensional quasilattices, namely, the geometrical objects to represent quasicrystals, are classified into mutual local-derivability (MLD) classes on the basis of geometrical and number-theoretical considerations. Most quasilattices are ternary. LANL EDS SIS LANLPUBL2002 SIS:2002 PR/LKR added SzGeCERN Condensed Matter ARTICLE LANL EDS Materials Science LANL EDS Condensed Matter Fujita, N 99-118 J. Phys. Soc. Jpn. 71 2002 http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0009422 Access to fulltext document nobuhisa@cmpt01.phys.tohoku.ac.jp n 200039 13 20060322 2033 CER01 20000928 PUBLIC 002219612CER ARTICLE Hidden 470122 SzGeCERN 2223477CERCER MP-ARC-98-499 eng Radin, C Symmetries Of Quasicrystals 1998 10 Jul 1998 mult. p SIS MPARC2000 SzGeCERN Mathematical Physics and Mathematics PREPRINT http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=98-499 Abstract from Mathematical Physics Preprint Archive mp_arc, Texas Univ. http://www.ma.utexas.edu/mp_arc/c/98/98-499.ps.gz Fulltext n 200042 11 20051228 0741 CER01 20001020 PUBLIC 002223477CER PREPRINT 472799 SzGeCERN 20161212230452.0 oai:cds.cern.ch:472799 DOE 108133 eng IS-T-1731 Shastri, A Nmr And Nqr Study Of The Thermodynamically Stable Quasicrystals Ames, IA Iowa State Univ. Ames Lab. 1995 mult. p Presented on 10 Feb 1995 PhD Ames Univ. 1995 SIS DOE2000 SzGeCERN XX THESIS n 200039 14 20100303 2000 CER01 20001026 PUBLIC 002226222CER THESIS Hidden http://www.osti.gov/servlets/purl/108133-zq2rQS/webviewable/ Records from U.S. DOE Office of Scientific and Technical Information 472892 SzGeCERN 20161212230455.0 oai:cds.cern.ch:472892 DOE 348927 eng IS-T-1853 Shen, Z Surface Structures Of Al-pd-mn And Al-cu-fe Icosahedral Quasicrystals Ames, IA Iowa State Univ. Ames Lab. 1999 mult. p Presented on 12 Feb 1999 PhD Ames Univ. 1999 SIS DOE2000 SzGeCERN XX THESIS n 200039 14 20100303 2000 CER01 20001026 PUBLIC 002226316CER THESIS Hidden http://www.osti.gov/servlets/purl/348927-G7crDb/webviewable/ Records from U.S. DOE Office of Scientific and Technical Information 473653 SzGeCERN 20160322232831.0 CERCER 2227095 math-ph/0010050 eng LEICESTER-2000-37 Forrest, A H Cohomology groups for projection point patterns 2000 30 Oct 2000 7 p Aperiodic point sets (or tilings) which can be obtained by the method of cut and projection from higher dimensional periodic sets play an important role for the description of quasicrystals. Their topological invariants can be computed using the higher dimensional periodic structure. We report on the results obtained for the cohomology groups of projection point patterns supplemented by explicit calculations made by F. Gaehler for many well-known icosahedral tilings. LANL EDS SzGeCERN Mathematical Physics and Mathematics PREPRINT LANL EDS 37Bxx LANL EDS 52C23 LANL EDS 55N15 LANL EDS Mathematical Physics LANL EDS Algebraic Topology LANL EDS Mathematics Hunton, J Kellendonk, J Forrest, Alan Hunton, John Kellendonk, Johannes http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=math-ph&id=0010050 Access to fulltext document kellendonkj@cardiff.ac.uk n 200044 11 20051228 0742 CER01 20001031 PUBLIC 002227095CER PREPRINT Hidden 482541 SzGeCERN 20160401004133.0 2236289CERCER cond-mat/0012485 eng Ishii, Y Hybridization Mechanism for Cohesion of Cd-based Quasicrystals 2001 Cohesion mechanism of cubic approximant crystals of newly discovered binary quasicrystals, Cd$_6$Yb and Cd$_6$Ca, are studied theoretically. It is found that a pseudogap near the Fermi level contributes to lowering the structural energy of these compounds. Unlike Al-Li-Cu and Zn-Mg-RE (RE:rare earth) systems, cohesion of the Cd-based compounds is mainly due to the hybridization of the $d$ states of Yb and Ca with a wide $sp$ band. It is suggested that the Brillouin-zone-Fermi-sphere interaction is not essential in the pseudogap formation and that the glue atoms, which do not participate in the icosahedral cluster, play an important role in stabilization of the compound. Although substitution of trivalent elements for Yb and Ca can gain the electronic energy by shifting the Fermi energy to the minimum of the density of states, matching of the atomic size may be very crucial for the quasicrystal formation. LANL EDS SIS LANLPUBL2002 SIS:2002 PR/LKR added SzGeCERN Condensed Matter ARTICLE LANL EDS Materials Science LANL EDS Condensed Matter Fujiwara, T Ishii, Yasushi Fujiwara, Takeo 206408 Phys. Rev. Lett. 87 2001 http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0012485 Access to fulltext document ishii@phys.chuo-u.ac.jp n 200052 13 20051029 0014 CER01 20001229 PUBLIC 002236289CER ARTICLE Hidden 484714 SzGeCERN 20160401004152.0 2238496CERCER cond-mat/0101347 eng Fujita, N Electronic properties of ternary quasicrystals 2001 23 Jan 2001 18 p The electronic properties of type II quasicrystals (QCs) in one dimension, namely ternary QCs which are generated by the cut-and-projection method, are analyzed. In particular, we present in detail the existence of a special kind of critical states called marginal critical states in these QCs. By the use of the exact real-space renormalization-group method, it is shown that the scaling properties of marginal critical states are characterized by stretched exponentials. These states are virtually localized, so that their existence makes a QC less conductive. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Materials Science LANL EDS Condensed Matter Niizeki, K Fujita, Nobuhisa Niizeki, Komajiro http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0101347 Access to fulltext document nobuhisa@cmpt.phys.tohoku.ac.jp n 200104 11 20060610 0005 CER01 20010124 PUBLIC 002238496CER PREPRINT Hidden 486088 SzGeCERN 20160401004204.0 2240289CERCER cond-mat/0102085 eng Al-Lehyani, I H Total-energy-based prediction of a quasicrystal structure 2001 5 Feb 2001 13 p Quasicrystals are metal alloys whose noncrystallographic symmetry and lack of structural periodicity challenge methods of experimental structure determination. Here we employ quantum-based total-energy calculations to predict the structure of a decagonal quasicrystal from first principles considerations. We employ Monte Carlo simulations, taking as input the knowledge that a decagonal phase occurs in Al-Ni-Co near a given composition, and using a few features of the experimental Patterson function. The resulting structure obeys a nearly deterministic decoration of tiles on a hierarchy of length scales related by powers of $\tau$, the golden mean. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Condensed Matter Cockayne, E Henley, C L Moghadam, N Moriarty, J A Wang, Y Widom, M http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0102085 Access to fulltext document ia25@andrew.cmu.edu Ceramics Division, NIST Department of Physics, Carnegie Mellon University Department of Physics, Cornell University Institute fur Physik, Technische Universit\"{a}t Chemnitz, Germany, Institute of Physics, Slovak Academy of Sciences, Bratislava, Slovakia Lawrence Livermore National Laboratory Oak Ridge National Laboratory Pittsburgh Supercomputer Center n 200106 11 20060610 0005 CER01 20010206 PUBLIC 002240289CER PREPRINT Hidden 501329 SzGeCERN 20160323111836.0 2256505CERCER math-ph/0105034 eng MP-ARC-2001-190 Damanik, D Uniform spectral properties of one-dimensional quasicrystals; 4, Quasi-Sturmian potentials 2001 23 May 2001 20 p We consider discrete one-dimensional Schr\"odinger operators with quasi-Sturmian potentials. We present a new approach to the trace map dynamical system which is independent of the initial conditions and establish a characterization of the spectrum in terms of bounded trace map orbits. Using this, it is shown that the operators have purely singular continuous spectrum and their spectrum is a Cantor set of Lebesgue measure zero. We also exhibit a subclass having purely $\alpha$-continuous spectrum. All these results hold uniformly on the hull generated by a given potential. LANL EDS SIS MPARC2001 SzGeCERN Mathematical Physics and Mathematics PREPRINT LANL EDS 81Q10 LANL EDS 47B80 LANL EDS Mathematical Physics Lenz, D Damanik, David Lenz, Daniel http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=math-ph&id=0105034 Access to fulltext document http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=01-190 Abstract from Mathematical Physics Preprint Archive mp_arc, Texas Univ. damanik@its.caltech.edu Hebrew University UC Irvine n 200121 10 20060608 2033 CER01 20010525 PUBLIC 002256505CER PREPRINT Hidden 501497 SzGeCERN 20160401004404.0 2256674CERCER cond-mat/0105501 eng Jagannathan, A Less singular quasicrystals the codimension one Rauzy tilings 2001 25 May 2001 11 p The Rauzy tilings were proposed recently in a generalisation of the Fibonacci chain by Vidal and Mosseri. These tilings have a particularly simple theoretical description, making them appealing candidates for analytical solutions for electronic properties. We show by a numerical study of statistical properties of the tight-binding spectra that these tilings fall in an intermediate category between the crystal and the quasicrystal, i.e. in a class of almost integrable models. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Disordered Systems and Neural Networks LANL EDS Mesoscopic Systems and Quantum Hall Effect LANL EDS Condensed Matter Phys. Rev. B http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0105501 Access to fulltext document jagannat@usc.edu Laboratoire de Physique des Solides, Orsay, France n 200122 10 20060829 2035 CER01 20010528 PUBLIC 002256674CER PREPRINT Hidden 501948 SzGeCERN 20160401004411.0 2257139CERCER cond-mat/0105546 eng Kalugin, P New phasing method based on the principle of minimum charge 2001 29 May 2001 10 p A new method of the phase determination in X-ray crystallography is proposed. The method is based on the so-called "minimum charge" principle, recently suggested by Elser. The electron density function $\rho$ is sought in the form $\rho({\bf x})=|\psi({\bf x})|^2$, where $\psi$ is an $n{-component}$ real function. The norm $\int|\psi({\bf x})|^2 d{\bf x}$ is minimized under the constraint imposed by the measured data on the amplitudes of Fourier harmonics of $\rho$. Compared to the straightforward implementation of the "minimum charge" scheme, the method attenuates the Gibbs phenomenon and is also capable of extrapolation of the diffraction data beyond the set of measured amplitudes. The method is applicable to quasicrystals under the condition that the number of components $n$ of the function $\psi$ is bigger than the dimensionality of the ``atomic surface''. It is successfully tested on synthetic data for Fibonacci chain and the octagonal tiling. In the latter case the reconstructed density map shows the shape of the atomic surface, despite relatively low data resolution. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Condensed Matter http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0105546 Access to fulltext document kalugin@lps.u-psud.fr n 200122 10 20060608 2033 CER01 20010530 PUBLIC 002257139CER PREPRINT Hidden 504880 SzGeCERN 20160323114030.0 2260162CERCER math-ph/0106012 eng Lenz, D Singular spectrum of Lebesgue measure zero for one-dimensional quasicrystals 2002 Frankfurt am Main Frankfurt am Main Univ. 17 Jun 2001 14 p The spectrum of one-dimensional discrete Schr\"odinger operators associated to strictly ergodic dynamical systems is shown to coincide with the set of zeros of the Lyapunov exponent if and only if the Lyapunov exponent exists uniformly. This is used to obtain Cantor spectrum of zero Lebesgue measure for all aperiodic subshifts with uniform positive weights. This covers, in particular, all aperiodic subshifts arising from primitive substitutions including new examples as e.g. the Rudin-Shapiro substitution. Our investigation is not based on trace maps. Instead it relies on an Oseledec type theorem due to A. Furman and a uniform ergodic theorem due to the author. LANL EDS SIS ING2004 SIS:2004 PR/LKR added SzGeCERN Mathematical Physics and Mathematics ARTICLE LANL EDS 81Q10 LANL EDS 47B80 LANL EDS 37A30 LANL EDS 52C23 LANL EDS Mathematical Physics LANL EDS Spectral Theory Lenz, Daniel 119-130 1 Commun. Math. Phys. 227 2002 http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=math-ph&id=0106012 Access to fulltext document dlenz@math.uni-frankfurt.de n 200125 13 20051025 1934 CER01 20010619 PUBLIC 002260162CER ARTICLE Hidden 505579 SzGeCERN 20160401004441.0 2260883CERCER cond-mat/0106447 eng Gavilano, J L Anomalous NMR response of quasicrystalline icosahedral A_{72.4}Pd_{20.5}Mn_{7.1} at low temperatures 2001 21 Jun 2001 5 p We report the observation of an anomalous {27}Al-NMR response of a single grain Al_{72.4}Pd_{20.5}Mn_{7.1} icosahedral quasicrystal at low temperatures. In an external magnetic field of 6 T and upon decreasing temperature, we observe a sharp 100 % increase of the resonance linewidth at 2.5 K. No further changes of the linewidth are observed down to 0.05 K. The linewidth enhancement is accompanied by a small but distinct increase of the spin-lattice relaxation rate T_{1}^{-1} and by a maximum of the spin-spin relaxation time T_{2}(T). All these anomalies are absent in external fields of 2.5 T and below. Our observations indicate unusual variations in the stability of isolated magnetic moments in a quasiperiodic metallic environment. LANL EDS SzGeCERN Condensed Matter PREPRINT LANL EDS Materials Science LANL EDS Condensed Matter Rau, D C Mushkolaj, S Ott, H R Dolinsek, J Urban, K Mushkolaj, Sh. Phys. Rev. http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0106447 Access to fulltext document gavilano@solid.phys.ethz.ch n 200125 10 20060608 2033 CER01 20010622 PUBLIC 002260883CER PREPRINT Hidden 508651 SzGeCERN 20160901085224.0 2264225CERCER oai:arXiv.org:cond-mat/0107191 http://export.arxiv.org/oai2 2016-08-31 2016-09-01T05:22:02Z arXiv false arXiv cond-mat/0107191 eng Gouliaev, V Crystallographic Method for Exact Describing Quasicrystal Structures 2001 10 Jul 2001 8 p Comments: 8 pages, 5 figures-eps, LaTeX2e, AmS-LaTeX, see also http://www.kirensky.ru/download/tilings.zip, submitted to Acta Crystallographica A. Note: replaced with revised version Wed, 11 Jul 2001 02:08:48 GMT arXiv In this paper the problem of the theory of a quasicrystal structures - the determination of coordinates of each atom of quasicrystal in analytical form - is solved. Within the framework of the proposed model a periodic crystal can be presented as a particular case of a quasicrystal. The simple and explicit analytical formulas which describe the location of each atom in a quasicrystal are given. The exact solutions for Penrose and Ammann-Beenker quasicrystal structures are given. On the basis of the analytical formulas the routines are created. The routines are inserted directly into graphical files generating the quasiperiodic structures. LANL EDS SzGeCERN Condensed Matter Mathematical Physics and Mathematics arXiv cond-mat.mtrl-sci arXiv Mathematical Physics and Mathematics arXiv physics.atm-clus arXiv Other Fields of Physics arXiv PREPRINT LANL EDS Disordered Systems and Neural Networks LANL EDS Materials Science LANL EDS Condensed Matter Gouliaev, Vadim http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0107191 Access to fulltext document comp@akadem.ru n 200128 10 20060606 2036 CER01 20010711 PUBLIC 002264225CER PREPRINT Hidden 509745 SzGeCERN 20160401004512.0 2265359CERCER cond-mat/0107400 eng Naumovic, D Formation of a stable deacagonal quasicrystalline Al-Pd-Mn surface layer 2001 19 Jul 2001 We report the in situ formation of an ordered equilibrium decagonal Al-Pd-Mn quasicrystal overlayer on the 5-fold symmetric surface of an icosahedral Al-Pd-Mn monograin. The decagonal structure of the epilayer is evidenced by x-ray photoelectron diffraction, low-energy electron diffraction and electron backscatter diffraction. This overlayer is also characterized by a reduced density of states near the Fermi edge as expected for quasicrystals. This is the first time that a millimeter-size surface of the stable decagonal Al-Pd-Mn is obtained, studied and compared to its icosahedral counterpart. LANL EDS SIS ING2003 SIS:2003 PR/LKR added SzGeCERN Condensed Matter ARTICLE LANL EDS Disordered Systems and Neural Networks LANL EDS Materials Science LANL EDS Condensed Matter Aebi, P Schlapbach, L Beeli, C Kunze, Kerstin E Lograsso, T A Delaney, D W 195506 19 Phys. Rev. Lett. 87 2001 http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=cond-mat&id=0107400 Access to fulltext document dusanka.naumovic@unifr.ch n 200129 13 20081027 1331 CER01 20010720 PUBLIC 002265359CER ARTICLE Hidden 510240 SzGeCERN 2265866CERCER eng Verger-Gaugry, J L Geometric Study Of The Set b>zb>_of Beta-integers With A Perron Number, A -number And A Pisot Number And Mathematical Quasicrystals. 2000 Grenoble Inst. Fourier 2000 mult. p SIS MATHDOC2001 SzGeCERN Mathematical Physics and Mathematics PREPRINT Gazeau, J P http://www-fourier.ujf-grenoble.fr/PREP/html/a513/a513.html Abstract n 200130 11 20060209 1934 CER01 20010723 PUBLIC 002265866CER PREPRINT 1750192 SzGeCERN 20171016220259.0 DOI 10.1088/1367-2630/17/2/023003 oai:arXiv.org:1408.3228 http://export.arxiv.org/oai2 2015-06-22 2015-06-26T09:23:40Z true arXiv Inspire 1310861 arXiv:1408.3228 eng Goryachev, Maxim The 3D Split-Ring Reentrant Cavity Lattice: A New Metastructure for Engineering Arrays of Coupled Microwave Harmonic Oscillators 2014 14 Aug 2014 mult. p arXiv A new electromagnetic metastructure, a lattice of 3D cavities consisting of an array of reentrant posts is presented. The individual cavity elements can be thought of as 3D split-ring resonators, which is confirmed by applying symmetry transformations, each of which is an electromagnetic resonator with spatially separated magnetic and electric field. The characteristics of the cavity is used to mimic phonon behaviour of a one dimensional chain of atoms. It is demonstrated how magnetic field coupling can lead to phonon-like dispersion curves with acoustical and optical branches. The system is able to reproduce a number of effects typical to one-dimensional lattices exhibiting acoustic vibration, such as band gaps, phonon trapping, and effects of impurities. In addition, quasicrystal emulations predict the results expected from this class of ordered structures. The system is easily scalable to simulate 2D and 3D lattices and shows a new way to engineer arrays of coupled microwave resonators with a variety of possible applications to hybrid quantum systems proposed. http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS Detectors and Experimental Techniques arXiv PREPRINT physics.ins-det LANL EDS Tobar, Michael E http://arxiv.org/pdf/1408.3228.pdf Preprint n 201432 11 PREPRINT Hidden 1752498 SzGeCERN 20170905222330.0 DOI 10.1038/nphoton.2014.248 oai:arXiv.org:1408.6730 http://export.arxiv.org/oai2 2014-11-04 2014-11-04T06:18:22Z arXiv true arXiv arXiv:1408.6730 eng Lu, Ling Joannopoulos, John D Soljačić, Marin Nature Photonics 8 2014 821-829 Nature Photonics 8, 821-829 (2014) http://arxiv.org/pdf/1408.6730.pdf Preprint n 201434 Topological Photonics 28 Aug 2014 12 p Topology is revolutionizing photonics, bringing with it new theoretical discoveries and a wealth of potential applications. This field was inspired by the discovery of topological insulators, in which interfacial electrons transport without dissipation even in the presence of impurities. Similarly, new optical mirrors of di?fferent wave-vector space topologies have been constructed to support new states of light propagating at their interfaces. These novel waveguides allow light to flow around large imperfections without back-reflection. The present review explains the underlying principles and highlights the major findings in photonic crystals, coupled resonators, metamaterials and quasicrystals. Comments: review of an emerging field, 12 pages, 6 figures and 1 table LANL EDS Other Fields of Physics arXiv cond-mat.mes-hall arXiv physics.optics LANL EDS cond-mat.mes-hall LANL EDS 2014 PREPRINT 11 PREPRINT Hidden 1958172 SzGeCERN 20160412210419.0 DOI 10.1039/C5SM01397F oai:arXiv.org:1410.7294 http://export.arxiv.org/oai2 2015-08-27 2015-08-27T05:21:48Z arXiv true arXiv arXiv:1410.7294 eng Ryltsev, R E Klumov, B A Chtchelkatchev, N M Soft Matter 11 2015 6991-6998 Soft Matter 11, 6991-6998 (2015) http://arxiv.org/pdf/1410.7294.pdf Preprint n 201443 Decagonal quasicrystal-like mesoscopic order in three-dimentional purely repulsive simple fluid 27 Oct 2014 5 p Comments: 5 pages, 6 figures Comments: 8 pages, 5 figures. Published online in Soft Matter, 2015 arXiv We show that strongly interacting molecular or nanoparticle system can be driven to three-dimensional quasicrystalline state rather than to liquid, glass or "ordinary" crystal just by purely repulsive, isotropic and monotonic interaction pair potential. It should have two characteristic length scales describing the repulsion strength. Molecular dynamic simulations show at certain density-temperature domain the phase with three-dimensional decagonal quasicrystalline order at both the local and the medium scales. It is self-assembled from liquid through the first order phase transition. We suggest that the underlined mechanism of decagonal order formation is the stabilization of large icosahedral-like clusters due to the existence of two effective interparticle distances. http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS cond-mat.soft arXiv cond-mat.mes-hall arXiv Chemical Physics and Chemistry arXiv cond-mat.soft LANL EDS cond-mat.mes-hall LANL EDS physics.chem-ph LANL EDS 2014 PREPRINT 11 PREPRINT Hidden 1971902 SzGeCERN 20170905222234.0 oai:arXiv.org:1411.6318 http://export.arxiv.org/oai2 2014-11-25 2014-11-25T09:46:29Z arXiv true arXiv arXiv:1411.6318 eng Guan, Jie Zhu, Zhen Tománek, David http://arxiv.org/pdf/1411.6318.pdf Preprint n 201447 Tiling Phosphorene 23 Nov 2014 mult. p We present a scheme to categorize the structure of different layered phosphorene allotropes by mapping their non-planar atomic structure onto a two-color 2D triangular tiling pattern. In the buckled structure of a phosphorene monolayer, we assign atoms in "top" positions to dark tiles and atoms in "bottom" positions to light tiles. Optimum $sp^3$ bonding is maintained throughout the structure when each triangular tile is surrounded by the same number $N$ of like-colored tiles, with $0{\le}N{\le}2$. Our ab initio density functional calculations indicate that both the relative stability and electronic properties depend primarily on the structural index $N$. The proposed mapping approach may also be applied to phosphorene structures with non-hexagonal rings and 2D quasicrystals with no translational symmetry, which we predict to be nearly as stable as the hexagonal network. LANL EDS Other Fields of Physics arXiv cond-mat.mtrl-sci arXiv physics.comp-ph LANL EDS cond-mat.mtrl-sci LANL EDS 2014 PREPRINT 11 PREPRINT Hidden 1981205 SzGeCERN 20171103220417.0 DOI 10.1038/ncomms9269 oai:arXiv.org:1501.02591 http://export.arxiv.org/oai2 2015-09-18 2015-09-18T05:21:44Z arXiv true arXiv arXiv:1501.02591 eng Yu, Sunkyu Piao, Xianji Hong, Jiho Park, Namkyoo Nature Communications 6 2015 8269 Nature Communications 6, 8269 (2015) http://arxiv.org/pdf/1501.02591.pdf Preprint n 201502 Bloch-like wave dynamics in disordered potentials based on supersymmetry 12 Jan 2015 mult. p arXiv Bloch's theorem for the description of waves in crystals was a major milestone, establishing the principle of bandgaps for electrical, optical, and vibrational waves. Although it was once believed that bandgaps could form only under conditions of periodicity and long-range correlations as the prerequisites for Bloch's theorem, this restriction was disproven by the groundbreaking discoveries of amorphous media and quasicrystals. While network and liquid models have been suggested for the interpretation of Bloch-like waves in disordered media, these approaches 'searching' for random networks with bandgaps have failed in the deterministic creation of bandgaps. Here, we reveal a deterministic pathway to bandgap engineering in disordered media, by applying the notion of supersymmetry to the fundamental wave equation. Inspired by the problem for isospectrality, we follow a methodology in stark contrast to previous methods: we 'transform' ordered potentials into disordered potentials while 'preserving' bandgaps. Our approach enables the formation of bandgaps having disorder comparable to Brownian motion, and allows the 'tuning' of long-range correlations while maintaining identical bandgaps thereby creating 'Bloch wave family'. These results not only extend the frontier of disordered conditions for Bloch-like waves, but also introduce an intriguing postulate: the supersymmetry between ordered and disordered potentials, both with coherence. http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS Other Fields of Physics arXiv cond-mat.dis-nn arXiv cond-mat.stat-mech arXiv physics.optics LANL EDS 2015 PREPRINT 11 PREPRINT Hidden 2009338 SzGeCERN 20160412200113.0 oai:arXiv.org:1504.03938 http://export.arxiv.org/oai2 2015-04-16 2015-04-16T08:07:25Z arXiv true arXiv arXiv:1504.03938 eng Zhang, Xiao http://arxiv.org/pdf/1504.03938.pdf Preprint n 201515 Two dimensional photonic quasicrystal edge states protected by second Chern number 15 Apr 2015 mult. p Topological physics in photonic systems have attracted great attentions in recent years. In this work, we theoretically study the one and two dimensional photonic quasicrystal resonator lattices characterized by the first and second Chern number, which show exotic boundary states within the photonic energy band gap. In particular, the second Chern number protected edge states has opened up new possibilities for realizing topological physics of dimensions higher than three in photonic systems, which is highly sought for. Such photonic systems can be easily experimentally realized in regular photonic crystal with dielectric rods in air, by varying the radius of the rods, so we propose experiments realizing our predictions. http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS cond-mat.mes-hall arXiv Other Fields of Physics arXiv cond-mat.mes-hall LANL EDS physics.optics LANL EDS 2015 PREPRINT 11 PREPRINT Hidden 2011952 SzGeCERN 20160412200159.0 DOI 10.1016/j.optmat.2015.04.051 oai:arXiv.org:1504.06214 http://export.arxiv.org/oai2 2015-05-11 2015-05-11T05:18:20Z arXiv true arXiv arXiv:1504.06214 eng Brand, E R Costa, C H Vasconcelos, M S Anselmo, D H A L Mello, V D http://arxiv.org/pdf/1504.06214.pdf Preprint n 201516 Octonacci Photonic Quasicrystals 23 Apr 2015 Comments: Submitted to Optical Materials Comments: Submitted to Optical Materials arXiv We study theoretically the transmission spectra in one-dimensional photonic quasicrystals, made up of SiO$_2$($A$) and TiO$_2$($B$) materials, organized following the Octonacci sequence, where the $n$th-stage of the multilayer $S_{n}$ is given by the rule $S_{n}=S_{n-1}S_{n-2}S_{n-1}$, for $n\geq 3$ and with $S_{1}=A$ and $S_{2}=B$. The expression for transmittance was obtained by employing a theoretical calculation based in the transfer-matrix method. To normally incident waves, we observe that, for a same generation, the transmission spectra for TE and TM waves are equal, at least qualitatively, and they present a scaling property where a self-similar behavior is obtained, as an evidence that these spectra are fractals. The spectra show regions where the omnidirectional band gaps emerges for specific generations of Octonacci photonic structure, except to TM waves. For TE waves, we note that all of them have the almost same width, for different generations. We also report the localization of modes as a consequence of the quasiperiodicity of the heterostructure http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS cond-mat.mtrl-sci arXiv Other Fields of Physics arXiv cond-mat.mtrl-sci LANL EDS physics.optics LANL EDS 2015 PREPRINT 11 PREPRINT Hidden 2015791 SzGeCERN 20170905221941.0 oai:arXiv.org:1505.02400 http://export.arxiv.org/oai2 2015-05-12 2015-05-13T05:20:02Z arXiv true arXiv arXiv:1505.02400 eng Ghulinyan, Mher http://arxiv.org/pdf/1505.02400.pdf Preprint n 201519 One-dimensional photonic quasicrystals 10 May 2015 16 p In this chapter, first we will address principal aspects of 1D quasiperiodicity with a particular focus on 1D Fibonacci chains. Further, the rest of the chapter will be dedicated to the electromagnetic counterpart of 1D Fibonacci structures as a relatively simplest case of the large class of photonic quasicrystals. Comments: 16 pages, 17 figures, from "Light Localisation and Lasing", Eds. M. Ghulinyan, L. Pavesi, Cambridge Univ. Press (2015) Ch. 5, p. 99 http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS Other Fields of Physics arXiv cond-mat.mes-hall arXiv physics.optics LANL EDS cond-mat.mes-hall LANL EDS 2015 PREPRINT 11 PREPRINT Hidden 2035693 SzGeCERN 20160412200147.0 DOI 10.1021/acsnano.5b04181 oai:arXiv.org:1507.04960 http://export.arxiv.org/oai2 2016-02-02 2016-02-02T06:18:53Z arXiv true arXiv arXiv:1507.04960 eng van Anders, Greg Klotsa, Daphne Karas, Andrew S Dodd, Paul M Glotzer, Sharon C ACS Nano 9 2015 9542-9553 ACS Nano 9, 9542-9553 (2015) http://arxiv.org/pdf/1507.04960.pdf Preprint n 201529 Digital Alchemy for Materials Design and Optimization 17 Jul 2015 8+13 p Comments: 8+13 pages, 11 figures Comments: 8+13 pages, 11 figures arXiv Starting with the early alchemists, a holy grail of science has been to make desired materials by modifying the attributes of basic building blocks. Building blocks that show promise for assembling new complex materials can be synthesized at the nanoscale with attributes that would astonish the ancient alchemists in their versatility. However, this versatility means that making direct connection between building block attributes and bulk behavior is both necessary for rationally engineering materials, and difficult because building block attributes can be altered in many ways. Here we show how to exploit the malleability of the valence of colloidal nanoparticle "elements" to directly and quantitatively link building block attributes to bulk behavior through a statistical thermodynamic framework we term "digital alchemy". We use this framework to optimize building blocks for a given target structure, and to determine which building block attributes are most important to control for self assembly, through a set of novel thermodynamic response functions, moduli and susceptibilities. We thereby establish direct links between the attributes of colloidal building blocks and the bulk structures they form. Moreover, our results give concrete solutions to the more general conceptual challenge of optimizing emergent behaviors in nature, and can be applied to other types of matter. As examples, we apply digital alchemy to systems of truncated tetrahedra, rhombic dodecahedra, and isotropically interacting spheres that self assemble diamond, FCC, and icosahedral quasicrystal structures, respectively. http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS cond-mat.soft arXiv cond-mat.mes-hall arXiv cond-mat.mtrl-sci arXiv cond-mat.stat-mech arXiv Chemical Physics and Chemistry arXiv cond-mat.soft LANL EDS cond-mat.mes-hall LANL EDS cond-mat.mtrl-sci LANL EDS cond-mat.stat-mech LANL EDS physics.chem-ph LANL EDS 2015 PREPRINT 11 PREPRINT Hidden 2037841 SzGeCERN 20171103220154.0 DOI 10.1103/PhysRevLett.115.205501 oai:arXiv.org:1507.06774 http://export.arxiv.org/oai2 2015-11-18 2015-11-19T06:20:19Z arXiv true arXiv arXiv:1507.06774 eng Yulevich, Igor Maguid, Elhanan Shitrit, Nir Veksler, Dekel Kleiner, Vladimir Hasman, Erez Phys. Rev. Lett. 115 2015 205501 Phys. Rev. Lett. 115, 205501 (2015) http://arxiv.org/pdf/1507.06774.pdf Preprint n 201530 Optical Mode Control by Geometric Phase in Quasicrystal Metasurface 24 Jul 2015 30 p Comments: 30 pages, 10 figures including Supplemental Material Comments: 30 pages, 10 figures including Supplemental Material arXiv We report on the observation of optical spin-controlled modes from a quasicrystalline metasurface as a result of an aperiodic geometric phase induced by anisotropic subwavelength structure. When geometric phase defects are introduced in the aperiodic structured surface, the modes exhibit polarization helicity dependence resulting in the optical spin-Hall effect. The radiative thermal dispersion bands from a quasicrystal structure were studied where the observed bands arise from the optical spin-orbit interaction induced by the aperiodic space-variant orientations of anisotropic antennas. The optical spin-flip behavior of the revealed modes that arise from the geometric phase pickup was experimentally observed within the visible spectrum by measuring the spin-projected diffraction patterns. The introduced ability to manipulate the light-matter interaction of quasicrystals in a spin-dependent manner provides the route for molding light via spin-optical aperiodic artificial planar surfaces. http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS Other Fields of Physics arXiv physics.optics LANL EDS 2015 PREPRINT 11 PREPRINT Hidden 2052984 SzGeCERN 20170905222218.0 oai:arXiv.org:1509.04028 http://export.arxiv.org/oai2 2015-09-15 2015-09-16T05:24:43Z arXiv true arXiv arXiv:1509.04028 eng Levy, E Barak, A Fisher, A Akkermans, E http://arxiv.org/pdf/1509.04028.pdf Preprint n 201537 Topological properties of Fibonacci quasicrystals : A scattering analysis of Chern numbers 14 Sep 2015 mult. p We report on a study of topological properties of Fibonacci quasicrystals. Chern numbers which label the dense set of spectral gaps, are shown to result from the underlying palindromic symmetry. Topological and spectral features are related to the two independent phases of the scattering matrix: the total phase shift describing the frequency spectrum and the chiral phase sensitive to topological features. Conveniently designed gap modes with spectral properties directly related to the Chern numbers allow to scan these phases. An effective topological Fabry-Perot cavity is presented. http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS Other Fields of Physics arXiv cond-mat.mes-hall arXiv physics.optics LANL EDS cond-mat.mes-hall LANL EDS 2015 PREPRINT 11 PREPRINT Hidden 2148177 SzGeCERN 20170907220526.0 DOI 10.1103/PhysRevB.94.064107 oai:arXiv.org:1604.06426 http://export.arxiv.org/oai2 2016-09-01 2016-09-01T05:20:25Z arXiv true arXiv Inspire 1450024 arXiv:1604.06426 eng Boyle, Latham Steinhardt, Paul J Phys. Rev. B 94 2016 064107 Phys. Rev. B 94, 064107 (2016) http://arxiv.org/pdf/1604.06426.pdf Preprint n 201616 Reflection Quasilattices and the Maximal Quasilattice 21 Apr 2016 5 p Comments: 5 pages, 1 figure Comments: 6 pages, no figures, important references added, matches Phys Rev B version arXiv We introduce the concept of a {\it reflection quasilattice}, the quasiperiodic generalization of a Bravais lattice with irreducible reflection symmetry. Among their applications, reflection quasilattices are the reciprocal (i.e. Bragg diffraction) lattices for quasicrystals and quasicrystal tilings, such as Penrose tilings, with irreducible reflection symmetry and discrete scale invariance. In a follow-up paper, we will show that reflection quasilattices can be used to generate tilings in real space with properties analogous to those in Penrose tilings, but with different symmetries and in various dimensions. Here we prove that reflection quasilattices only exist in dimensions two, three and four, and we prove that there is a unique reflection quasilattice in dimension four: the "maximal reflection quasilattice" in terms of dimensionality and symmetry. We further show that, unlike crystallographic Bravais lattices, all reflection quasilattices are invariant under rescaling by certain discrete scale factors. We tabulate the complete set of scale factors for all reflection quasilattices in dimension $d>2$, and for all those with quadratic irrational scale factors in $d=2$. http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS Mathematical Physics and Mathematics arXiv Particle Physics - Theory arXiv cond-mat.mtrl-sci arXiv Mathematical Physics and Mathematics arXiv math-ph LANL EDS cond-mat.mtrl-sci LANL EDS hep-th LANL EDS math.MP LANL EDS 2016 PREPRINT 11 PREPRINT Hidden 2149238 SzGeCERN 20170905222058.0 DOI 10.1038/nphoton.2015.107 oai:arXiv.org:1604.08124 http://export.arxiv.org/oai2 2016-04-28 2016-04-28T05:22:56Z arXiv true arXiv arXiv:1604.08124 eng Boriskina, Svetlana V http://arxiv.org/pdf/1604.08124.pdf Preprint n 201617 Quasicrystals: Making invisible materials 27 Apr 2016 5 p All-dielectric photonic quasicrystals may act as zero-refractive-index homogeneous materials despite their lack of translational symmetry and periodicity, stretching wavelengths to infinity and offering applications in light wavefront sculpting and optical cloaking. Comments: 5 pages, 2 figures http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS Other Fields of Physics arXiv cond-mat.mes-hall arXiv cond-mat.mtrl-sci arXiv physics.optics LANL EDS cond-mat.mes-hall LANL EDS cond-mat.mtrl-sci LANL EDS Nature Photonics 9(7):422-424, June 2015 2016 ARTICLE 13 ARTICLE Hidden 2154746 SzGeCERN 20171102143152.0 oai:arXiv.org:1605.06107 http://export.arxiv.org/oai2 2016-05-23 2016-05-23T05:18:26Z arXiv true arXiv arXiv:1605.06107 eng Xavier, Jolly Probst, Juergen Becker, Christiane http://arxiv.org/pdf/1605.06107.pdf Preprint n 201621 Deterministic aperiodic composite lattice-structured silicon thin films for photon management 19 May 2016 mult. p Exotic manipulation of the flow of photons in nanoengineered semiconductor materials with an aperiodic distribution of nanostructures plays a key role in efficiency-enhanced and industrially viable broadband photonic technologies. Through a generic deterministic nanotechnological route, in addition to periodic, transversely quasicrystallographic or disordered random photonic lattices, here we show scalable nanostructured semiconductor thin films on large area nanoimprinted substrates up to 4cm^2 with advanced functional features of aperiodic composite nanophotonic lattices having tailorable supercell tiles. The richer Fourier spectra of the presented artificially nanostructured materials with well-defined lattice point morphologies are designed functionally akin to two-dimensional incommensurate intergrowth aperiodic lattices-comprising periodic photonic crystals and in-plane quasicrystals as subgroups. The composite photonic lattice-structured crystalline silicon thin films with tapered nanoholes or nanocone-nanoholes are presented showing up to +30 % achievable short circuit current density in comparison to a periodic counterpart where as it is up to +190 % in comparison to a reference unstructured silicon thin film of 300 nanometers of thickness. In view of scalable bottom-up integrated device fabrication processes, the structural analysis is further extended to liquid phase crystallized double-side-textured deterministic aperiodic lattice-structured 10 micrometers thick large area crystalline silicon film. http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS cond-mat.mes-hall arXiv cond-mat.mtrl-sci arXiv Other Fields of Physics arXiv cond-mat.mes-hall LANL EDS cond-mat.mtrl-sci LANL EDS physics.optics LANL EDS 2016 PREPRINT 11 PREPRINT Hidden 2194898 SzGeCERN 20171103220956.0 oai:arXiv.org:1606.08302 http://export.arxiv.org/oai2 2016-06-28 2016-06-28T05:18:34Z arXiv true arXiv arXiv:1606.08302 eng Gao, Zhen Gao, Fei Zhang, Youming Xu, Hongyi Zhang, Baile http://arxiv.org/pdf/1606.08302.pdf Preprint n 201626 Surface-wave photonic quasicrystal 27 Jun 2016 mult. p In developing strategies of manipulating surface electromagnetic waves, it has been recently recognized that a complete forbidden band gap can exist in a periodic surface-wave photonic crystal, which has subsequently produced various surface-wave photonic devices. However, it is not obvious whether such a concept can be extended to a non-periodic surface-wave system that lacks translational symmetry. Here we experimentally demonstrate that a surface-wave photonic quasicrystal that lacks periodicity can also exhibit a forbidden band gap for surface electromagnetic waves. The lower cutoff of this forbidden band gap is mainly determined by the maximum separation between nearest neighboring pillars. Point defects within this band gap show distinct properties compared to a periodic photonic crystal for the absence of translational symmetry. A line-defect waveguide, which is crafted out of this surface-wave photonic quasicrystal by shortening a random row of metallic rods, is also demonstrated to guide and bend surface waves around sharp corners along an irregular waveguiding path. http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS Other Fields of Physics arXiv physics.optics LANL EDS 2016 PREPRINT 11 PREPRINT Hidden 2196459 SzGeCERN 20171102143213.0 oai:arXiv.org:1607.00901 http://export.arxiv.org/oai2 2016-07-05 2016-07-05T05:18:50Z arXiv true arXiv arXiv:1607.00901 eng Dareau, A Levy, E Aguilera, M Bosch Bouganne, R Akkermans, E Gerbier, F Beugnon, J http://arxiv.org/pdf/1607.00901.pdf Preprint n 201627 Direct measurement of Chern numbers in the diffraction pattern of a Fibonacci chain 04 Jul 2016 mult. p Topological properties are now understood to be a key feature of many different physical systems, from topological insulators to quasicrystals. Such properties are often encoded into integer-valued topological invariants, such as winding or Chern numbers, usually related to transport or spectral measurements. We report on an experiment where the Chern numbers of quasicrystalline structures are directly determined by an interferometric approach. We show that all the possible Chern numbers for finite-length Fibonacci chains can be observed directly in their diffraction pattern. Finally, we also demonstrate quantitatively the stability of these topological invariants with respect to structural disorder. http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS cond-mat.mes-hall arXiv General Theoretical Physics arXiv cond-mat.mtrl-sci arXiv Other Fields of Physics arXiv cond-mat.mes-hall LANL EDS cond-mat.mtrl-sci LANL EDS physics.optics LANL EDS quant-ph LANL EDS 2016 PREPRINT 11 PREPRINT Hidden 2199093 SzGeCERN 20171102143236.0 oai:arXiv.org:1607.03813 http://export.arxiv.org/oai2 2016-07-14 2016-07-14T05:21:28Z arXiv true arXiv arXiv:1607.03813 eng Baboux, F Levy, E Lemaître, A Gomez, C Galopin, E Gratiet, L Le Sagnes, I Amo, A Bloch, J Akkermans, E http://arxiv.org/pdf/1607.03813.pdf Preprint n 201628 Exploring topological edge states in photonic quasicrystals 13 Jul 2016 5 p We experimentally investigate the topological properties of quasiperiodic chains using cavity polaritons confined in a potential following the Fibonacci sequence. Edge states forming in the gaps of a fractal energy spectrum are imaged both in real and momentum space. These edge states periodically traverse the gaps when varying a structural degree of freedom $\phi$ of the Fibonacci sequence. The period and direction of the traverses are directly related to the Chern numbers assigned to each gap by the gap-labeling theorem. Additionally, we show that the Chern numbers determine the spatial symmetry properties of the edge states. These results highlight the potential of cavity polaritons to emulate nontrivial topological properties in a controlled environment. Comments: 5 pages, 4 figures http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS cond-mat.mes-hall arXiv cond-mat.quant-gas arXiv Other Fields of Physics arXiv cond-mat.mes-hall LANL EDS cond-mat.quant-gas LANL EDS physics.optics LANL EDS 2016 PREPRINT 11 PREPRINT Hidden 2201389 SzGeCERN 20171102143240.0 DOI 10.1088/0953-8984/29/1/014006 oai:arXiv.org:1607.06626 http://export.arxiv.org/oai2 2016-11-11 2016-11-12T06:19:08Z arXiv true arXiv arXiv:1607.06626 eng Reinhardt, Aleks Schreck, John S Romano, Flavio Doye, Jonathan P K Condens. Matter 29 2017 014006 J. Phys.: Condens. Matter 29, 014006 (2017) http://arxiv.org/pdf/1607.06626.pdf Preprint n 201630 Self-assembly of two-dimensional binary quasicrystals: A possible route to a DNA quasicrystal 22 Jul 2016 mult. p arXiv We use Monte Carlo simulations and free-energy techniques to show that binary solutions of penta- and hexavalent two-dimensional patchy particles can form thermodynamically stable quasicrystals even at very narrow patch widths, provided their patch interactions are chosen in an appropriate way. Such patchy particles can be thought of as a coarse-grained representation of DNA multi-arm `star' motifs, which can be chosen to bond with one another very specifically by tuning the DNA sequences of the protruding arms. We explore several possible design strategies and conclude that DNA star tiles that are designed to interact with one another in a specific but not overly constrained way could potentially be used to construct soft quasicrystals in experiment. We verify that such star tiles can form stable dodecagonal motifs using oxDNA, a realistic coarse-grained model of DNA. http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS cond-mat.soft arXiv Chemical Physics and Chemistry arXiv cond-mat.soft LANL EDS physics.chem-ph LANL EDS 2016 PREPRINT 11 PREPRINT Hidden 2217545 SzGeCERN 20171106114900.0 oai:arXiv.org:1609.06625 http://export.arxiv.org/oai2 2016-09-22 2016-09-22T05:29:56Z arXiv true arXiv arXiv:1609.06625 eng Dubinko, Volodymyr Laptev, Denis Irwin, Klee http://arxiv.org/pdf/1609.06625.pdf Preprint n 201638 Catalytic mechanism of LENR in quasicrystals based on localized anharmonic vibrations and phasons 09 Aug 2016 16 p Quasicrystals (QCs) are a novel form of matter, which are neither crystalline nor amorphous. Among many surprising properties of QCs is their high catalytic activity. We propose a mechanism explaining this peculiarity based on unusual dynamics of atoms at special sites in QCs, namely, localized anharmonic vibrations (LAVs) and phasons. In the former case, one deals with a large amplitude (~ fractions of an angstrom) time-periodic oscillations of a small group of atoms around their stable positions in the lattice, known also as discrete breathers, which can be excited in regular crystals as well as in QCs. On the other hand, phasons are a specific property of QCs, which are represented by very large amplitude (~angstrom) oscillations of atoms be-tween two quasi-stable positions determined by the geometry of a QC. Large amplitude atomic motion in LAVs and phasons results in time-periodic driving of adjacent potential wells occupied by hydrogen ions (protons or deuterons) in case of hydrogenated QCs. This driving may result in the increase of amplitude and energy of zero-point vibrations (ZPV). Based on that, we demonstrate a drastic increase of the D-D or D-H fusion rate with increasing number of modulation periods evaluated in the framework of Schwinger model, which takes into account suppression of the Coulomb barrier due to lattice vibrations. In this context, we present numerical solution of Schrodinger equation for a particle in a non-stationary double well potential, which is driven time-periodically imitating the action of a LAV or phason. We show that the rate of tunneling of the particle through the potential barrier separating the wells is enhanced drastically by the driving, and it increases strongly with increasing amplitude of the driving. These results support the concept of nuclear catalysis in QCs that can take place at special sites provided by their inherent topology. Comments: 16 pages, 11 figures, Int. Conf. on Cold Fusion (ICCF20). arXiv admin note: text overlap with arXiv:1510.06081 http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS Other Fields of Physics arXiv physics.gen-ph LANL EDS 2016 PREPRINT 11 Comments: 16 pages, 11 figures, Int. Conf. on Cold Fusion (ICCF20). arXiv admin note: text overlap with arXiv:1510.06081 PREPRINT Hidden 2219948 SzGeCERN 20171103220722.0 DOI 10.1038/nphys3482 oai:arXiv.org:1609.07608 http://export.arxiv.org/oai2 2016-11-22 2016-11-22T06:18:51Z arXiv true arXiv arXiv:1609.07608 eng Kondakci, H E Abouraddy, A F Saleh, B E A Nature Phys. 11 2015 930 Nature Phys. 11, 930 (2015) http://arxiv.org/pdf/1609.07608.pdf Preprint n 201639 A photonic thermalization gap in disordered lattices 24 Sep 2016 12 p Comments: 12 pages in pre-print format, 4 figures, selected as cover article for Nature Physics 2015 November issue Comments: 12 pages in pre-print format, 4 figures, selected as cover article for Nature Physics 2015 November issue arXiv The formation of gaps -- forbidden ranges in the values of a physical parameter -- is a ubiquitous feature of a variety of physical systems: from energy bandgaps of electrons in periodic lattices and their analogs in photonic, phononic, and plasmonic systems to pseudo energy gaps in aperiodic quasicrystals. Here, we report on a `thermalization' gap for light propagating in finite disordered structures characterized by disorder-immune chiral symmetry -- the appearance of the eigenvalues and eigenvectors in skew-symmetric pairs. In this class of systems, the span of sub- thermal photon statistics is inaccessible to input coherent light, which -- once the steady state is reached -- always emerges with super-thermal statistics no matter how small the disorder level. We formulate an independent constraint that must be satisfied by the input field for the chiral symmetry to be `activated' and the gap to be observed. This unique feature enables a new form of photon-statistics interferometry: the deterministic tuning of photon statistics -- from sub-thermal to super-thermal -- in a compact device, without changing the disorder level, via controlled excitation-symmetry-breaking realized by sculpting the amplitude or phase of the input coherent field. http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS Other Fields of Physics arXiv General Theoretical Physics arXiv Other Fields of Physics arXiv physics.optics LANL EDS 2016 ARTICLE 13 Article Hidden 2230724 SzGeCERN 20171106203409.0 oai:arXiv.org:1611.00867 http://export.arxiv.org/oai2 2016-11-04 2016-11-07T09:06:07Z arXiv true arXiv arXiv:1611.00867 eng Aznavourian, Ronald Puvirajesinghe, Tania Brule, Stephane Enoch, Stefan Guenneau, Sebastien http://arxiv.org/pdf/1611.00867.pdf Preprint n 201645 Bio-inspired seismic metamaterials: Time domain simulations in transformed crystals 02 Nov 2016 25 p We introduce the concept of transformation crystallography which consists of the application of geometric transforms to periodic structures. We consider motifs with three-fold, four-fold and six-fold symmetries according to the crystallographic restriction theorem. Furthermore, we define motifs with five-fold symmetry such as quasi-crystals generated by a cut-and-projection method. We analyze elastic wave propagation in the transformed crystals and (Penrose-type) quasi-crystals with the finite difference time domain freeware SimSonic. We consider geometric transforms underpinning the design of seismic cloaks with square, circular, elliptical and peanut shapes in the context of triangular, square and honeycomb crystals. Interestingly, the use of morphing techniques leads to the design of cloaks with interpolated geometries reminiscent of Victor Vasarely's artwork. Employing the case of transformed graphene-like (honeycomb) structures allows one to draw useful analogies between large-scale seismic metamaterials such as soils structured with columns of concrete or grout with soil and nanoscale biochemical metamaterials. We further point out similarities between cloaks for elastodynamic and hydrodynamic waves and cloaks for diffusion (heat or mass) diffusion processes, notably with respect to invisibility and protection. Experimental data extracted from field test analysis of soil structured with boreholes demonstrates the application of bio-inspired seismic metamaterials. We conclude that these novel materials hold strong applications in biophysics and geophysics. Comments: 25 pages, 14 figures http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS Other Fields of Physics arXiv physics.bio-ph LANL EDS 2016 PREPRINT 11 PREPRINT Hidden 2233578 SzGeCERN 20171102143226.0 DOI 10.1016/j.optmat.2016.11.013 oai:arXiv.org:1611.05303 http://export.arxiv.org/oai2 2016-11-17 2016-11-17T06:24:47Z arXiv true arXiv arXiv:1611.05303 eng Brandao, E R Vasconcelos, M S Anselmo, D H A L Optical Materials,2016 http://arxiv.org/pdf/1611.05303.pdf Preprint n 201646 Octonacci Photonic Crystals with Negative Refraction Index Materials 16 Nov 2016 23 p We investigate the optical transmission spectra for $s$-polarized (TE) and $p$-polarized (TM) waves in one-dimensional photonic quasicrystals on a quasiperiodic multilayer structure made up by alternate layers of SiO$_{2}$ and \textit{metamaterials}, organized by following the Octonacci sequence. Maxwell's equations and the transfer-matrix technique are used to derive the transmission spectra for the propagation of normaly and obliquely incident optical fields. We assume Drude-Lorentz-type dispersive response for the dielectric permittivity and magnetic permeability of the metamaterials. For normally incident waves, we observe that the spectra does not have self-similar behavior or mirror symmetry and it also features the absence of optical band gap. Also for normally incident waves, we show regions of full transmittance when the incident angle $\theta_{C} = 0^{\circ}$ in a particular frequency range. Comments: Accept article with 23 pages, 10 figures. arXiv admin note: text overlap with arXiv:1212.6605 by other authors http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS cond-mat.mtrl-sci arXiv Other Fields of Physics arXiv cond-mat.mtrl-sci LANL EDS physics.optics LANL EDS 2016 ARTICLE 13 ARTICLE Hidden 2233575 SzGeCERN 20171106114854.0 oai:arXiv.org:1611.05295 http://export.arxiv.org/oai2 2016-11-17 2016-11-17T06:24:47Z arXiv true arXiv Inspire 1498685 arXiv:1611.05295 eng Amaral, Marcelo M Aschheim, Raymond Bubuianu, Laurenţiu Irwin, Klee Vacaru, Sergiu I Woolridge, Daniel http://arxiv.org/pdf/1611.05295.pdf Preprint n 201646 Anamorphic Quasiperiodic Universes in Modified and Einstein Gravity with Loop Quantum Gravity Corrections 07 Nov 2016 30 p The goal of this work is to elaborate on new geometric methods of constructing exact and parametric quasiperiodic solutions for anamorphic cosmology models in modified gravity theories, MGTs, and general relativity, GR. There exist previously studied generic off-diagonal and diagonalizable cosmological metrics encoding gravitational and matter fields with quasicrystal like structures, QC, and holonomy corrections from loop quantum gravity, LQG. We apply the anholonomic frame deformation method, AFDM, in order to decouple the (modified) gravitational and matter field equations in general form. This allows us to find integral varieties of cosmological solutions determined by generating functions, effective sources, integration functions and constants. The coefficients of metrics and connections for such cosmological configurations depend, in general, on all spacetime coordinates and can be chosen to generate observable (quasi)-periodic/ aperiodic/ fractal / stochastic / (super) cluster / filament / polymer like (continuous, stochastic, fractal and/or discrete structures) in MGTs and/or GR. In this work, we study new classes of solutions for anamorphic cosmology with LQG holonomy corrections. Such solutions are characterized by nonlinear symmetries of generating functions for generic off--diagonal cosmological metrics and generalized connections, with possible nonholonomic constraints to Levi-Civita configurations and diagonalizable metrics depending only on a time like coordinate. We argue that anamorphic quasiperiodic cosmological models integrate the concept of quantum discrete spacetime, with certain gravitational QC-like vacuum and nonvacuum structures. And, that of a contracting universe that homogenizes, isotropizes and flattens without introducing initial conditions or multiverse problems. Comments: latex2e, 11pt, 30 pages http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS Other Fields of Physics arXiv physics.gen-ph LANL EDS 2016 PREPRINT 11 PREPRINT Hidden 2233530 SzGeCERN 20171106114851.0 oai:arXiv.org:1611.04858 http://export.arxiv.org/oai2 2016-11-16 2016-11-17T06:24:47Z arXiv true arXiv Inspire 1498168 arXiv:1611.04858 eng Aschheim, R Bubuianu, L Fang, Fang Irwin, Klee Ruchin, V Vacaru, S http://arxiv.org/pdf/1611.04858.pdf Preprint n 201646 Starobinsky Inflation and Dark Energy and Dark Matter Effects from Quasicrystal Like Spacetime Structures 07 Nov 2016 28 p The goal of this work on mathematical cosmology and geometric methods in modified gravity theories, MGTs, is to investigate Starobinsky-like inflation scenarios determined by gravitational and scalar field configurations mimicking quasicrystal, QC, like structures. Such spacetime aperiodic QCs are different from those discovered and studied in solid state physics but described by similar geometric methods. We prove that an inhomogeneous and locally anisotropic gravitational and matter field effective QC mixed continuous and discrete "aether" can be modeled by exact cosmological solutions in MGTs and Einstein gravity. The coefficients of corresponding generic off-diagonal metrics and generalized connections depend (in general) on all spacetime coordinates via generating and integration functions and certain smooth and discrete parameters. Imposing additional nonholonomic constraints, prescribing symmetries for generating functions and solving the boundary conditions for integration functions and constants, we can model various nontrivial torsion QC structures or extract cosmological Levi--Civita configurations with diagonal metrics reproducing de Sitter (inflationary) like and other types homogeneous inflation and acceleration phases. Finally, we speculate how various dark energy and dark matter effects can be modeled by off-diagonal interactions and deformations of a nontrivial QC like gravitational vacuum structure and analogous scalar matter fields. Comments: latex2e, 11pt, 28 pages http://arxiv.org/licenses/nonexclusive-distrib/1.0/ arXiv LANL EDS Other Fields of Physics arXiv physics.gen-ph LANL EDS 2016 PREPRINT 11 PREPRINT Hidden