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QPhysics
266 items
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1.
Algebraic structures on graph cohomology / Cattaneo, A S ; Cotta-Ramusino, P ; Longoni, R
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. [...]
math.GT/0307218. - 2003. - 14 p.
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2.
Adsorption of Xe and Ar on Quasicrystalline Al-Ni-Co / Trasca, R A ; Ferralis, N ; Diehl, R D ; Cole, M W
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. [...]
cond-mat/0401467. - 2004. - 12 p.
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3.
A General Systems Theory for the Observed Fractal Space-Time Fluctuations in Dynamical Systems / Selvam, A M
Recent studies of DNA sequence of letters A, C, G and T exhibit the inverse power law form frequency spectrum. [...]
physics/0404014. - 2004.
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4.
Model sets with predefined local structure / Cotfas, N
Model sets play a fundamental role in structure analysis of quasicrystals. [...]
math-ph/0405027. - 2004.
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5.
First-principles prediction of a decagonal quasicrystal containing boron / Widom, M
We interpret experimentally known B-Mg-Ru crystals as quasicrystal approximants. [...]
cond-mat/0405332. - 2004.
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6.
Nature of the low-energy optical modes in icosahedral quasicrystals / Duval, E ; Saviot, L ; Mermet, A ; Murray, D B ; De Boissieu, M
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. [...]
cond-mat/0405649. - 2004.
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8.
Advanced in X-ray fluorescence holography / Hayashi, K
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 [...]
2002 - Published in : Hoshako: 15 (2002) , no. 5, pp. 267-275
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9.
Atomic-partial vibrational density of states of i-AlCuFe quasicrystals / Parshin, P P ; Zemlyanov, M ; Brand, R A ; Dianoux, A J ; Calvayrac, Y
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 [...]
2002 - Published in : Appl. Phys. A 74 (2002) s1657-s1659
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10.
EXAFS-spectroscopy on synchrotron radiation beam / Aksenov, V L ; Tyutyunnikov, S I ; Kuzmin, A Y ; Purans, Y
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 [...]
2001 - Published in : Fiz. Elem. Chastits At. Yadra: 32 (2001) , no. 6, pp. 1299-1358
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11.
Harmonic generation in a two dimensional nonlinear quasicrystal / Broderick, N ; Peacock, A ; Gallo, K ; Lewen, R ; Bratfalean, R
Second harmonic generation in a two dimensional nonlinear quasi-crystal is demonstrated for the first time. [...]
physics/0407151. - 2004.
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12.
Ground state of a two dimensional quasiperiodic antiferromagnet / Jagannathan, A
We consider the spin 1/2 Heisenberg antiferromagnet on a two dimensional quasiperiodic tiling. [...]
cond-mat/0409711. - 2004. - 15 p.
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13.
The local atomic quasicrystal structure of the icosahedral Mg25Y11Zn64 alloy / Bruehne, S ; Uhrig, E ; Gross, C ; Assmus, W ; Masadeh, A S ; Billinge, S J L
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. [...]
cond-mat/0410534.- 2005 - 12 p. - Published in : J. Phys.: Condens. Matter 17 (2005) 1561-1572 External link: cond-mat/0410534 PDF
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14.
Quantum Fluctuations and Excitations in Antiferromagnetic Quasicrystals / Wessel, S ; Milat, I
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. [...]
cond-mat/0410180. - 2004. - 12 p.
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15.
Photonic quasicrystals for general purpose nonlinear optical frequency conversion / Lifshitz, R ; Arie, A ; Bahabad, A
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. [...]
cond-mat/0412162. - 2004.
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16.
Photonic Clusters / Ng, J ; Lin, Z ; Chan, C T ; Sheng, 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. [...]
cond-mat/0501733.- 2005 - 4 p. - Published in : Phys. Rev. B 72 (2005) 085130 External link: cond-mat/0501733 PDF
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17.
Quasicrystal approximants with novel compositions and structures / Mihalkovic, M ; Widom, M
We identify several new quasicrystal approximants in alloy systems in which quasicrystals have not been previously reported. [...]
cond-mat/0402371. - 2004. - 6 p.
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18.
Evolution of topological order in Xe films on a quasicrystal surface / Curtarolo, S ; Setyawan, W ; Ferralis, N ; Diehl, R D ; Cole, M W
We report results of the first computer simulation studies of a physically adsorbed gas on a quasicrystalline surface, Xe on decagonal Al-Ni-Co. [...]
cond-mat/0502466. - 2005.
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19.
Bose-Einstein Condensates in Optical Quasicrystal Lattices / Sánchez-Palencia, L ; Santos, L
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. [...]
cond-mat/0502529.- 2005 - Published in : Phys. Rev. A 72 (2005) 053607 External link: cond-mat/0502529 PDF
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20.
Structural transformation and localization during simulated nanoindentation of a non-crystalline metal film / Shi, Y ; Falk, M L
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. [...]
cond-mat/0503286.- 2005 - 13 p. - Published in : Appl. Phys. Lett. 86 (2005) 011914 External link: cond-mat/0503286 PDF
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21.
Steps and terraces at quasicrystal surfaces. Application of the 6d-polyhedral model to the analysis of STM images of i-AlPdMn / Barbier, L M ; Gratias, D
6-d polyhedral models give a periodic description of aperiodic quasicrystals. [...]
cond-mat/0505452. - 2005.
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22.
Tilings, tiling spaces and topology / Sadun, L
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. [...]
math.DS/0506054. - 2005. - 8 p.
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23.
Modeling grain boundaries in solids using a combined nonlinear and geometrical method / Boyer, D ; Romeu, D
The complex arrangements of atoms near a grain boundary are difficult to describe theoretically. [...]
cond-mat/0506381. - 2005. - 10 p.
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24.
Wave propagation in a quasi-periodic waveguide network / Sen-Gupta, S ; Chakrabarti, A
We investigate the transport properties of a classical wave propagating through a quasi-periodic Fibonacci array of waveguide segments in the form of loops. [...]
cond-mat/0412720. - 2004. - 15 p.
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25.
Quasi-crystal structures of Bose-Einstein condensates / Salerno, M
Quasi-crystal structures of Bose-Einstein condensates which correspond to a Penrose tiling of the plane are discussed..
cond-mat/0504401. - 2005.
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26.
Algorithm for Generating Quasiperiodic Packings of Multi-Shell Clusters / Cotfas, N
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. [...]
math-ph/0504079. - 2005.
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27.
Quasiperiodic packings of multi-shell clusters obtained by projection / Cotfas, N
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. [...]
math-ph/0505005. - 2005.
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28.
Overlapping Unit Cells in 3d Quasicrystal Structure / Au-Yang, H ; Perk, J H H
A 3-dimensional quasiperiodic lattice with overlapping unit cells is constructed using grid and projection methods pioneered by de Bruijn. [...]
cond-mat/0507117. - 2005. - 10 p.
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29.
Probing the dynamics of quasicrystal growth using synchrotron live imaging / Nguyen-Thi, H ; Gastaldi, J ; Schenk, T ; Reinhart, G ; Mangelinck-Noel, N ; Cristiglio, V ; Billia, B ; Grushko, B ; H"artwig, J ; Klein, H et al.
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. [...]
cond-mat/0504713. - 2005.
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30.
Lie algebras associated with one-dimensional aperiodic point sets / Fairlie, D B ; Twarock, R ; Zachos, C K
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. [...]
math-ph/0507072. - 2005. - 13 p.
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38.
Crystal - quasicrystal formations on Al-Co-Ni / Fluckiger, Thomas
Zürich : ETH. Zürich, 2003.

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39.
Crystal-quasicrystal interfaces: Al on Al-Pd-Mn / Lüscher, Rouven
Zürich : ETH. Zürich, 2005.

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40.
Electronic characterization of surface transformations on the icosahedral AlPdMn quasicrystal / Hensch, Andreas
Zürich : ETH. Zürich, 2001.

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41.
Higher-dimensional modelling of decagonal quasicrystal structures / Cervellino, Antonio
Zürich : ETH. Zürich, 2001.

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42.
Time-resolved structural investigation of quasicrystal surfaces / Bolliger, Bernhard
Zürich : ETH. Zürich, 2000.

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43.

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44.
Minimal configurations for Frenkel-Kontorova model on a quasicrystal / Gambaudo, J M ; Guiraud, P ; Petite, S
In this paper, we consider the Frenkel-Kontorova model of a one dimensional chain of atoms submitted to a potential. [...]
math-ph/0511012. - 2005. - 25 p.
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45.
An extinction rule for a class of 1D quasicrystals / Buczek, P ; Wolny, J
We study decorated one-dimensional quasicrystal obtained by a non-standard projection of a part of two-dimensional lattice. [...]
cond-mat/0511345. - 2005. - 5 p.
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46.
Co-rich decagonal Al-Co-Ni: predicting structure, orientational order, and puckering / Gu, N ; Henley, C L ; Mihalkovic, M
We apply systematic methods previously used by Mihalkovic et al. [...]
cond-mat/0512223. - 2005. - 7 p.
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47.
Discussion on clusters, phasons, and quasicrystal stabilisation / Henley, C L ; De Boissieu, M ; Steurer, W
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..
cond-mat/0512225. - 2005.
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48.
Structure prediction for cobalt-rich decagonal AlCoNi from pair potentials / Gu, N ; Henley, C L ; Mihalkovic, M
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. [...]
cond-mat/0602095. - 2006.
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49.
Energy-based Structure Prediction for d(Al70Co20Ni10) / Gu, N ; Mihalkovic, M ; Henley, C L
We use energy minimization principles to predict the structure of a decagonal quasicrystal - d(AlCoNi) - in the Cobalt-rich phase. [...]
cond-mat/0603178. - 2006.
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50.
Quasicrystals: algebraic, combinatorial and geometrical aspects / Pelantová, E ; Masakova, Z
The paper presents mathematical models of quasicrystals with particular attention given to cut-and-project sets. [...]
math-ph/0603065 ; DI-2006-006. - 2006. - 19 p.
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54.
Modified strip projection method / Cotfas, N
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. [...]
math-ph/0605046. - 2006. - 15 p.
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56.
Experimental study of the competition between Kondo and RKKY interactions for Mn spins in a model alloy system / Prejean, J J ; Lhotel, E ; Sulpice, A ; Hippert, F
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. [...]
cond-mat/0606241.- 2006 - 18 p. - Published in : Phys. Rev. B 73 (2006) 214205 External link: cond-mat/0606241 PDF
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57.
$L^2$-spectral invariants and quasi-crystal graphs / Elek, G
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. [...]
math.FA/0607198. - 2006.
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58.
Are Vortex Quasi-Crystals New Phases of Vortex Matter? / Zhang, W ; Sá de Melo, C A R
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. [...]
cond-mat/0607624. - 2006. - 4 p.
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59.
Xe films on a decagonal Al-Ni-Co quasicrystal surface / Setyawan, W ; Ferralis, N ; Diehl, R D ; Cole, M W ; Curtarolo, S
The grand canonical Monte Carlo method is employed to study the adsorption of Xe on a quasicrystalline Al-Ni-Co surface. [...]
cond-mat/0608201. - 2006. - 6 p.
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60.
Statistical Mechanics of the Glass Transition / Hentschel, H G E ; Ilyin, V ; Makedonska, N ; Procaccia, I ; Schupper, N
The statistical mechanics of simple glass forming systems in 2 dimensions is worked out. [...]
cond-mat/0608443. - 2006. - 4 p.
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61.
The covariogram determines three-dimensional convex polytopes / Bianchi, Gabriele
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. [...]
arXiv:0805.1605. - 2008. - 32 p.
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62.
The cross covariogram of a pair of polygons determines both polygons, with a few exceptions / Bianchi, Gabriele
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. [...]
arXiv:0805.1805. - 2008. - 26 p.
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63.
Approximation of conformal mappings by circle patterns / Bücking, Ulrike
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. [...]
arXiv:0806.3833. - 2008. - 36 p.
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64.
Homometric Point Sets and Inverse Problems / Grimm, Uwe (Milton Keynes) ; Baake, Michael (Bielefeld)
The inverse problem of diffraction theory in essence amounts to the reconstruction of the atomic positions of a solid from its diffraction image. [...]
arXiv:0808.0094. - 2008. - 8 p.
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65.
Computing with almost periodic functions / Moody, R V ; Nesterenko, M ; Patera, J
The paper develops a method for discrete computational Fourier analysis of functions defined on quasicrystals and other almost periodic sets. [...]
arXiv:0808.1814. - 2008. - 23 p.
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66.
Luminescence Properties of a Fibonacci Photonic Quasicrystal / Passias, Vasilios ; Valappil, Nikesh ; Shi, Zhou ; Deych, Lev ; Lisyansky, Alexander ; Menon, Vinod M
We report the realization of an active one-dimensional Fibonacci photonic quasi-crystal via spin coating. [...]
arXiv:0809.1862. - 2008. - 14 p.
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67.
Mode Confinement in Photonic Quasi-Crystal Point-Defect Cavities for Particle Accelerators / Di Gennaro, E ; Savo, S ; Andreone, A ; Galdi, V ; Castaldi, G ; Pierro, V ; Masullo, M R
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. [...]
arXiv:0809.4997. - 2008. - 4 p.
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68.
Discrete Tomography of F-Type Icosahedral Model Sets / Huck, Christian
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..
arXiv:0810.0407. - 2008. - 7 p.
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69.
Can Kinematic Diffraction Distinguish Order from Disorder? / Baake, Michael (Bielefeld) ; Grimm, Uwe (Milton Keynes)
Diffraction methods are at the heart of structure determination of solids. [...]
arXiv:0810.5750. - 2008.
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70.
Abnormally large changes in anharmonicity of intramolecular vibrations in free clusters of nitrogen / Danylchenko, O ; Doronin, Yu ; Kovalenko, S ; Libin, M ; Samovarov, V ; Vakula, V
Cathodoluminescence VUV spectra of free pure nitrogen clusters produced by condensation of gas mixtures in supersonic jets expanding into vacuum were studied. [...]
arXiv:0811.1417. - 2008.
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71.
On the spectrum of the Thue-Morse quasicrystal and the rarefaction phenomenon / Gazeau, Jean-Pierre (APC) ; Verger-Gaugry, Jean-Louis (IF)
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. [...]
arXiv:0811.4361. - 2008.
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72.
Repetitions in beta-integers / Balková, L ; Klouda, K ; Pelantová, E
Classical crystals are solid materials containing arbitrarily long periodic repetitions of a single motif. [...]
arXiv:0812.4006. - 2008.
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73.
Guided resonances in photonic quasicrystals / Ricciardi, Armando ; Gallina, Ilaria ; Campopiano, Stefania ; Castaldi, Giuseppe ; Pisco, Marco ; Galdi, Vincenzo ; Cusano, Andrea
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. [...]
arXiv:0901.1804. - 2009.
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74.
Localization characteristics of two-dimensional quasicrystals consisting of metal nanoparticles / Dong, Jian-Wen ; Fung, Kin Hung ; Chan, C T ; Wang, He-Zhou
Using the eigen-decomposition method, we investigated the plasmonic modes in a two-dimensional quasicrystalline array of metal nanoparticles. [...]
arXiv:0902.4772. - 2009.
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75.
Perfect colourings of cyclotomic integers / Bugarin, E P ; Peñas, M L A N de las ; Frettlöh, D
Perfect colourings of the rings of cyclotomic integers with class number one are studied. [...]
arXiv:0905.4048. - 2009.
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76.
Image Sampling with Quasicrystals / Grundland, Mark ; Patera, Jiri ; Masakova, Zuzana ; Dodgson, Neil A
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. [...]
arXiv:0907.3604.- 2009 - Published in : Symmetry Integrability Geom. Methods Appl. 5 (2009) 075 External link: Preprint
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77.
Bandgap properties of low index contrast aperiodically ordered photonic quasicrystals / Zito, Gianluigi ; Rose, T Priya ; Di Gennaro, Emiliano ; Andreone, Antonello ; Santamato, Enrico ; Abbate, Giancarlo
We numerically analyze, using Finite Difference Time Domain simulations, the bandgap properties of photonic quasicrystals with a low index contrast. [...]
arXiv:0907.3865. - 2009.
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78.
Guided resonances in point-defected photonic quasicrystals / Gallina, Ilaria ; Pisco, Marco ; Ricciardi, Armando ; Campopiano, Stefania ; Castaldi, Giuseppe ; Cusano, Andrea ; Galdi, Vincenzo
In this paper, we study the excitation of guided resonances (GRs) in photonic-crystal slabs based on point-defected aperiodically-ordered (quasicrystal-type) supercells. [...]
arXiv:0908.1626. - 2009. - 13 p.
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79.
An algorithm for the arithmetic classification of multilattices / Indelicato, Giuliana
A procedure for the construction and the classification of multilattices in arbitrary dimension is proposed. [...]
arXiv:0908.2314. - 2009.
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80.
The valence bond solid in quasicrystals / Kirillov, Anatol N ; Korepin, Vladimir E
This is a historical note. In 1989 we constructed a version of AKLT with unique ground state on a finite graph. [...]
arXiv:0909.2211.- 2009 External link: Preprint
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81.
Fixed-point tile sets and their applications / Durand, Bruno (LIF) ; Romashchenko, Andrei (LIF) ; Shen, Alexander (LIF)
An aperiodic tile set was first constructed by R. [...]
arXiv:0910.2415. - 2009.
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82.
Rigidity of quasicrystallic and Z^\gamma-circle patterns / Bücking, Ulrike
The uniqueness of the orthogonal Z^\gamma-circle patterns as studied by Bobenko and Agafonov is shown, given the combinatorics and some boundary conditions. [...]
arXiv:1001.3528. - 2010.
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83.
Stable structures with high topological charge in nonlinear photonic quasicrystals / Law, K J H ; Saxena, Avadh ; Kevrekidis, P G ; Bishop, A R
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. [...]
arXiv:1003.2779. - 2010.
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84.
Delone measures of finite local complexity and applications to spectral theory of one-dimensional continuum models of quasicrystals / Klassert, Steffen ; Lenz, Daniel ; Stollmann, Peter
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. [...]
arXiv:1003.3574. - 2010.
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85.
Tuning efficiency and sensitivity of guided resonances in photonic crystals and quasi-crystals: A comparative study / Pisco, Marco ; Ricciardi, Armando ; Gallina, Ilaria ; Castaldi, Giuseppe ; Campopiano, Stefania ; Cutolo, Antonello ; Cusano, Andrea ; Galdi, Vincenzo
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. [...]
arXiv:1006.3611. - 2010. - 14 p.
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86.
Complete Band Gaps in 2D Photonic Quasicrystals / Florescu, Marian ; Torquato, Salvatore ; Steinhardt, Paul J
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. [...]
arXiv:1007.3555.- 2010 - 8 p. - Published in : Phys. Rev. B 80 (2009) 155112 External link: Preprint
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87.
Exponential Riesz bases, discrepancy of irrational rotations and BMO / Kozma, Gady ; Lev, Nir
Matei and Meyer proved that `simple quasicrystals' are universal sets of sampling and interpolation for signals with a band-limited spectrum. [...]
arXiv:1009.2188. - 2010.
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88.
Wood anomalies in resonant photonic quasicrystals / Poddubny, A N
A theory of light diffraction from planar quasicrystalline lattice with resonant scatterers is presented. [...]
arXiv:1009.2351. - 2010.
Preprint
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89.
Stochastic Flips on Two-letter Words / Bodini, Olivier ; Fernique, Thomas ; Regnault, Damien
This paper introduces a simple Markov process inspired by the problem of quasicrystal growth. [...]
arXiv:1010.1086. - 2010.
Preprint
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90.
On Bravais Colorings Associated with Periodic and Non-Periodic Crystals / Peñas, Ma Louise Antonette N De Las ; Bugarin, Enrico Paolo C
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. [...]
arXiv:1010.3908. - 2010.
Preprint
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91.
All-optical diode action in asymmetric nonlinear photonic multilayers with perfect transmission resonances / Zhukovsky, Sergei V ; Smirnov, Andrey G
Light propagation in asymmetric Kerr-nonlinear multilayers with perfect transmission resonances is theoretically investigated. [...]
arXiv:1010.4274. - 2010.
Preprint
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92.
Colourings of lattices and coincidence site lattices / Loquias, Manuel Joseph C ; Zeiner, Peter
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 $\Gamma_2$. [...]
arXiv:1011.1001. - 2010.
Preprint
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93.
Bohr and Besicovitch almost periodic discrete sets and quasicrystals / Favorov, Sergey
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. [...]
arXiv:1011.4036. - 2010.
Preprint
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94.
In-plane plasmonic modes in a quasicrystalline array of metal nanoparticles / Deng, Zi-Lan ; Dong, Jian-Wen ; Wang, He-Zhou
We investigated the plasmonic modes in a two-dimensional quasicrystalline array of metal nanoparticles. [...]
arXiv:1012.2526. - 2010.
Preprint
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95.
Disordered, Quasicrystalline and Crystalline Phases of Densely Packed Tetrahedra / Haji-Akbari, Amir ; Engel, Michael ; Keys, Aaron S ; Zheng, Xiaoyu ; Petschek, Rolfe G ; Palffy-Muhoray, Peter ; Glotzer, Sharon C
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. [...]
arXiv:1012.5138.- 2010 - 26 p. - Published in : Nature 462 (2009) 773-777 External link: Preprint
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96.
First Order Phase Transition in a Model of Quasicrystals / Aristoff, David ; Radin, Charles
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. [...]
arXiv:1102.1982. - 2011.
Preprint
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97.
Wavelets centered on a knot sequence: piecewise polynomial wavelets on a quasi-crystal lattice / Atkinson, Bruce W ; Bruff, Derek O ; Geronimo, Jeffrey S ; Hardin, Douglas P
We develop a general notion of orthogonal wavelets `centered' on an irregular knot sequence. [...]
arXiv:1102.4246. - 2011.
Preprint
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98.
Isotropic properties of the photonic band gap in quasicrystals with low-index contrast / Rose, Priya ; Di Gennaro, E ; Abbate, G ; Andreone, A
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. [...]
arXiv:1102.5406. - 2011.
Preprint
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99.
KAM theory for quasi-periodic equilibria in 1-D quasiperiodic media / Su, Xifeng ; de la Llave, Rafael
We consider Frenkel-Kontorova models corresponding to 1 dimensional quasicrystals. [...]
arXiv:1104.5274. - 2011.
Preprint
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100.
Kinematic Diffraction from a Mathematical Viewpoint / Baake, Michael (Bielefeld) ; Grimm, Uwe (Milton Keynes)
Mathematical diffraction theory is concerned with the analysis of the diffraction image of a given structure and the corresponding inverse problem of structure determination. [...]
arXiv:1105.0095. - 2011.
Preprint
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101.
Photonic stop bands in quasi-random nanoporous anodic alumina structures / Maksymov, Ivan ; Ferre-Borrull, Josep ; Pallares, Josep ; Marsal, Lluis F
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. [...]
arXiv:1105.0736. - 2011.
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102.
Chiral quasicrystalline order in an exceptional family of viruses / Konevtsova, O V ; Rochal, S B ; Lorman, V L
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. [...]
arXiv:1105.3337. - 2011.
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103.
Phase Diagram of Hard Tetrahedra / Haji-Akbari, Amir ; Engel, Michael ; Glotzer, Sharon C
Advancements in the synthesis of faceted nanoparticles and colloids have spurred interest in the phase behavior of polyhedral shapes. [...]
arXiv:1106.4765. - 2011.
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104.
Almost periodic structures and the semiconjugacy problem / Aliste-Prieto, José ; Jäger, Tobias
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. [...]
arXiv:1107.5083. - 2011.
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105.
Localized photonic bandedge modes and orbital angular momenta of light in a golden-angle spiral / Liew, Seng Fatt ; Noh, Heeso ; Trevino, Jacob ; Negro, Luca Dal ; Cao, Hui
We present a numerical study on photonic bandgap and bandedge modes in the golden-angle spiral array of air cylinders in dielectric media. [...]
arXiv:1109.3726. - 2011.
Preprint
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106.
Topological States and Adiabatic Pumping in Quasicrystals / Kraus, Yaacov E ; Lahini, Yoav ; Ringel, Zohar ; Verbin, Mor ; Zilberberg, Oded
The discovery of topological insulators has sparked considerable interest in the study of topological phases of matter. [...]
arXiv:1109.5983. - 2011.
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107.
Novel Kac-Moody-type affine extensions of non-crystallographic Coxeter groups / Dechant, Pierre-Philippe ; Boehm, Celine ; Twarock, Reidun
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. [...]
arXiv:1110.5219 ; IPPP-11-66 ; DCPT-11-132. - 2011.
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108.
Affine extensions of non-crystallographic Coxeter groups induced by projection / Dechant, Pierre-Philippe ; Boehm, Celine ; Twarock, Reidun
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. [...]
arXiv:1110.5228; IPPP-11-65; DCPT-11-130.- 2013 - Published in : J. Math. Phys. 54 (2013) 093508 External link: Preprint
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109.
Quasiperiodic Tilings: A Generalized Grid--Projection Method / Korepin, Vladimir (YITP, Stony Brook) ; Gaehler, Franz (Mathematics, University of Bielefeld) ; Rhyner, Jakob (United Nations University, Institute for Environment and Human Security)
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..
arXiv:1110.6142.- 2011 - 9 p. - Published in : Acta Crystallographica Section A (1988) , pp. A44 External link: Preprint
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110.
On the spectrum of 1D quantum Ising quasicrystal / Yessen, W N
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. [...]
arXiv:1110.6894. - 2011.
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111.
Stochastic Flips on Dimer Tilings / Fernique, Thomas ; Regnault, Damien
This paper introduces a Markov process inspired by the problem of quasicrystal growth. [...]
arXiv:1111.7297. - 2011.
Preprint
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112.
Two-dimensional solitons and vortices in media with incommensurate linear and nonlinear lattice potentials / Zeng, Jianhua ; Malomed, Boris A
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". [...]
arXiv:1201.2254. - 2012.
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113.
Integral cohomology of rational projection method patterns / Gaehler, Franz ; Hunton, John ; Kellendonk, Johannes
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. [...]
arXiv:1202.2240. - 2012.
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114.
Properties of 1D classical and quantum Ising quasicrystals: rigorous results / Yessen, W N
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. [...]
arXiv:1203.2221. - 2012.
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115.
Schroedinger difference equation with deterministic ergodic potentials / Suto, Andras
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. [...]
arXiv:1203.3646.- 2012 - Published in : . (1995) External link: Preprint
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116.
Spectral Envelopes - A Preliminary Report / Lawton, Wayne
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. [...]
arXiv:1204.4904. - 2012.
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117.
Mpemba Effect, Shechtman's Quasicrystals and Students' Exploring Activities / Balazovic, Marek ; Tomasik, Boris
In the 1960s, Tanzanian student Erasto Mpemba and his teacher published an article with the title "Cool" in the journal Physics Education (Mpemba, E. [...]
arXiv:1205.3858. - 2012.
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118.
A Clifford algebraic framework for Coxeter group theoretic computations / Dechant, Pierre-Philippe
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. [...]
arXiv:1207.5005 ; IPPP-12-49 ; DCPT-12-98. - 2012.
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119.
Observation of Topological Phase Transitions in Photonic Quasicrystals / Verbin, Mor ; Kraus, Yaacov E ; Zilberberg, Oded ; Lahini, Yoav ; Silberberg, Yaron
Topological insulators and topological superconductors are distinguished by their bulk phase transitions and gapless states at a sharp boundary with the vacuum. [...]
arXiv:1211.4476. - 2012.
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120.
Numerical Methods for Quasicrystals / Jiang, Kai ; Zhang, Pingwen
A new projection method, implemented in higher-dimensional reciprocal space, is developed to compute quasicrystals. [...]
arXiv:1212.3326. - 2012.
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121.
Computing phase diagrams for a quasicrystal-forming patchy-particle system / Reinhardt, Aleks ; Romano, Flavio ; Doye, Jonathan P K
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. [...]
arXiv:1302.2592.- 2013 - Published in : Phys. Rev. Lett. 110 (2013) 255503 External link: Preprint
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122.
Quasicrystals -- The impact of N.G. de Bruijn / Au-Yang, Helen ; Perk, Jacques H H
In this paper we put the work of Professor N.G. [...]
arXiv:1306.6698. - 2013. - 33 p.
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123.
Bond orientational ordering in liquids: Towards a unified description of water-like anomalies, liquid-liquid transition, glass transition, and crystallization / Tanaka, Hajime
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. [...]
arXiv:1307.0621.- 2013 - 85 p. - Published in : Eur. Phys. J. E 35 (2012) 113 External link: Preprint
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124.
Plasmonic quasicrystals for designable ultra broadband transmission enhancement and second harmonic generation / Kasture, Sachin ; R, Ajith P ; Yallapragada, V J ; Patil, Raj ; V., Nikesh V ; Mulay, Gajendra ; Gopal, Achanta Venu
Quasi-crystals are intriguing as they exhibit rotational symmetry and long range ordering but lack translational symmetry. [...]
arXiv:1309.3286. - 2013. - 10 p.
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125.
FDTD analysis of photonic quasicrystals with different tiling geometries and fabrication by single beam computer-generated holography / Zito, G ; Piccirillo, B ; Santamato, E ; Marino, A ; Tkachenko, V ; Abbate, G
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. [...]
arXiv:1311.0386.- 2013 - 8 p. - Published in : Pure Appl. Opt. 11 (2009) 024007 External link: Preprint
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126.
Spectral characterization of two-dimensional Thue-Morse quasicrystals realized with high resolution lithography / Matarazzo, V ; De Nicola, S ; Zito, G ; Mormile, P ; Rippa, M ; Abbate, G ; Zhou, J ; Petti, L
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. [...]
arXiv:1311.0392.- 2013 - 8 p. - Published in : J. Opt. 13 (2011) 015602 External link: Preprint
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127.
Photonic band gap in isotropic hyperuniform disordered solids with low dielectric contrast / Man, Weining ; Florescu, Marian ; Matsuyama, Kazue ; Yadak, Polin ; Nahal, Geev ; Hashemizad, Seyed ; Williamson, Eric ; Steinhardt, Paul ; Torquato, Salvatore ; Chaikin, Paul
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. [...]
arXiv:1311.2963.- 2013 - Published in : Optics Express 21 (17), 19972-19981 (2013) External link: Preprint
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128.
Topological Pumping over a Photonic Fibonacci Quasicrystal / Verbin, Mor ; Zilberberg, Oded ; Lahini, Yoav ; Kraus, Yaacov E ; Silberberg, Yaron
Quasiperiodic lattices have recently been shown to be a non-trivial topological phase of matter. [...]
arXiv:1403.7124. - 2014. - 5 p.
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129.
Schrödinger operators generated by substitutions / Bovier, A ; Ghez, J M
Schr\"odinger operators with potentials generated by primitive substitutions are simple models for one dimensional quasi-crystals. [...]
cond-mat/9510061. - 1995.
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130.
The dispersion equation for a wave number of the electromagnetic wave in a random medium of the parallel dielectric cylinders / Cherkas, N L
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. [...]
physics/9902038. - 1999. - 10 p.
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131.
HeXLN : A 2-Dimensional nonlinear photonic crystal / Broderick, N ; Ross, Graham G ; Offerhaus, H ; Richardson, D ; Hanna, D S
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. [...]
physics/9910036. - 1999. - 13 p.
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132.
Why we live in 3+1 Dimensions / Castro, C ; Granik, A ; El-Naschie, M S
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. [...]
hep-th/0004152. - 2000. - 29 p.
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133.
Regular and Anomalous Quantum Diffusion in the Fibonacci Kicked Rotator / Casati, G ; Mantica, G ; Shepelyansky, D L
We study the dynamics of a quantum rotator kicked according to the almost-periodic Fibonacci sequence. [...]
cond-mat/0007437. - 2000. - 7 p.
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134.
Gap-labelling for quasi-crystals (proving a conjecture by J. Bellissard) / Benameur, M T ; Oyono-Oyono, H
In the present paper, we give a proof of the gap-labelling conjecture for quasi-crystals. [...]
math.KT/0112113. - 2001. - 11 p.
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135.
Fractal Strings as the Basis of Cantorian-Fractal Spacetime and the Fine Structure Constant / Castro, C
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. [...]
hep-th/0203086.- 2002 - 12 p. - Published in : Chaos Solitons Fractals 14 (2002) 1341-1351 Access to fulltext document: PDF; External link: hep-th/0203086 PDF
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136.
Stochastic Self-Similar and Fractal Universe / Iovane, G ; Laserra, E ; Tortoriello, F S
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. [...]
astro-ph/0308370.- 2004 - 17 p. - Published in : Chaos Solitons Fractals 20 (2004) 415-426 Access to fulltext document: PDF; External link: astro-ph/0308370 PDF
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137.
Intrinsic localized modes in dust lattices / Kourakis, I ; Basios, V ; Shukla, P K
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. [...]
physics/0410095. - 2004.
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138.
Nonlinear theory of dust lattice mode coupling in dust crystals / Kourakis, I ; Shukla, P K
Quasi-crystals formed by charged mesoscopic dust grains (dust lattices), observed since hardly a decade ago, are an exciting paradigm of a nonlinear chain. [...]
physics/0410098. - 2004.
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139.
A generalization of the inhomogeneity measure for point distributions to the case of finite size objects / Piasecki, R J
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. [...]
cond-mat/0612401. - 2006. - 22 p.
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140.
Vortex Quasi-Crystals / Sá de Melo, C A R
There seems to be a one to one correspondence between the phases of atomic and molecular matter (AMOM) and vortex matter (VM) in superconductors. [...]
cond-mat/0703156. - 1999. - 4 p.
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141.
Vortex quasi-crystals in mesoscopic superconducting samples / Zhang, W ; de Melo, C S
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. [...]
cond-mat/0703421. - 2007. - 7 p.
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142.
Lattice structures of Larkin-Ovchinnikov-Fulde - Ferrell (LOFF) state / Jiang, Longhua ; Ye, Jinwu
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. [...]
arXiv:0705.3034.- 2008 - 8 p. - Published in : Phys. Rev. B 76 (2007) 184104 External link: Preprint
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143.
Completely integrable models in quasicrystals / Koperin, V E
LOMI-E-86-7. - 1986. - 35 p.
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144.
The vertices of the ideal 3-D icosahedral quasicrystal / Baake, M ; Ben-Abraham, S I ; Kramer, P H ; Schlottmann, M
TPT-QC-89-05-2. - 1989. - 11 p. CERN library copies
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145.
Growing perfect quasicrystals / Steinhardt, Paul Joseph
IASSNS-HEP-89-64. - 1989. - 11 p.
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146.
Renormalization group analysis and quasicrystals / Bellissard, J
CPT-2484 ; M-CPT-2484. - 1990. - 31 p.
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147.
Electronic stability of disordered systems : application to quasicrystals / Sire, C
CPT-2510 ; M-CPT-2510. - 1991. - 25 p.
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148.
Band spectrum of the octagonal quasicrystal : finite measure, gaps and chaos / Benza, V G ; Sire, C
CPT-2558 ; M-CPT-2558. - 1991. - 12 p.
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149.
Structure and magic numbers of large Lennard-Jones quasicrystals and crystals / Hasse, R W
GSI-91-44 ; GSI-PRE-91-44. - 1991. - 12 p.
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150.
Magic numbers of Coulomb and Lennard-Jones crystals and quasicrystals / Hasse, R W
GSI-91-59 ; GSI-PRE-91-59. - 1991. - 9 p.
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151.
Quasicrystals and icosians / Moody, R V ; Patera, J
1992. - 34 p.
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152.
Energy level statistics of electrons in a 2d quasicrystal / Piechon, F ; Jagannathan, A
A numerical study is made of the spectra of a tight-binding hamiltonian on square approximants of the quasiperiodic octagonal tiling. [...]
cond-mat/9401038. - 1994. - 9 p.
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153.
Self-diffusion in random-tiling quasicrystals / Jaric, M V ; Sørensen, E
The first explicit realization of the conjecture that phason dynamics leads to self-diffusion in quasicrystals is presented for the icosahedral Ammann tilings. [...]
cond-mat/9408048 ; CTP-TAMU-94-21. - 1994. - 11 p.
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154.
Model for the thermal conductivity of a quasicrystalline alloy / Jagannathan, A
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). [...]
cond-mat/9502105. - 1995. - 10 p.
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155.
Phason elasticity of a three-dimensional quasicrystal : transfer-matrix method / Newman, M E J ; Henley, C L
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. [...]
cond-mat/9503072 ; MSC-79-M-02. - 1995. - 38 p.
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156.
Role of phason-defects on the conductance of a 1-d quasicrystal / Moulopoulos, K ; Roche, S
We have studied the influence of a particular kind of phason-defect on the Landauer resistance of a Fibonacci chain. [...]
cond-mat/9506004 ; EFI-95-06-[CHICAGO]. - 1995. - 12 p.
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157.
Fracton superconductivity in quasicrystals : a theoretical possibility suggested by experiment / Moulopoulos, K ; Cyrot-Lackmann, F
Scattering of electrons due to fractons can result in a resistivity that {\it decreases} with temperature. [...]
cond-mat/9506014. - 1995. - 13 p.
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158.
Magnetic states induced by electron-electron interactions in a plane quasiperiodic tiling / Jagannathan, A ; Schulz, H J
We consider the Hubbard model for electrons in a two-dimensional quasiperiodic tiling using the Hartree--Fock approximation. [...]
cond-mat/9609082. - 1996. - 16 p.
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159.
A new binary decagonal Frank-Kasper quasicrystal phase / Roth, J ; Henley, C L
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. [...]
cond-mat/9609281 ; ITAP-96-3-1. - 1996. - 28 p.
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160.
Atomic Self-Diffusion in Quasicrystals : A Molecular Dynamics Study / Roth, J ; Gähler, F
We present a molecular dynamics study on atomic self-diffusion in Frank-Kasper type dodecagonal quasicrystals. [...]
cond-mat/9609282 ; ITAP-96-6-2. - 1996. - 6 p.
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161.
Anomalous Drude Model / Schulz-Baldes, H
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. [...]
cond-mat/9702220.- 1997 - Published in : Phys. Rev. Lett. 78 (1997) 2176-2179 External link: cond-mat/9702220 PDF - CERN library copies
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162.
Thermodynamically Stable One-Component Metallic Quasicrystals / Denton, A R ; Hafner, J H
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. [...]
cond-mat/9703171.- 1997 - Published in : Europhys. Lett. 38 (1997) 189 External link: cond-mat/9703171 PDF - CERN library copies
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163.
Thermodynamically Stable One-Component Quasicrystals : A Density-Functional Survey of Relative Stabilities / Denton, A R ; Hafner, J H
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. [...]
cond-mat/9704021.- 1997 - Published in : Phys. Rev. B 56 (1997) 2469 External link: cond-mat/9704021 PDF - CERN library copies
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164.
Lattice Color Groups of Quasicrystals / Lifshitz, R
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. [...]
cond-mat/9704105. - 1997. - 5 p.
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165.
Close Packing of Atoms, Geometric Frustration and the Formation of Heterogeneous States in Crystals / Gornostyrev, Y N ; Katsnelson, M I ; Trefilov, A V
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. [...]
cond-mat/9705251. - 1997. - 14 p.
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166.
Properties of random tilings in three dimensions / Ebinger, W ; Roth, J ; Trebin, H R
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. [...]
cond-mat/9706117.- 1998 - Published in : Phys. Rev. B 58 (1998) 8338 External link: cond-mat/9706117 PDF - CERN library copies
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167.
Comment on "Formation of a Dodecagonal Quasicrystalline Phase in a Simple Monatomic Liquid" / Roth, J
In a recent paper M. Dzugutov, Phys. [...]
cond-mat/9706119.- 1997 - Published in : Phys. Rev. Lett. 79 (1997) 4042 External link: cond-mat/9706119 PDF - CERN library copies
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168.
A Universal Formula for Percolation Thresholds; 2, Extension to Anisotropic and Aperiodic Lattices / Galam, S ; Mauger, A
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. [...]
cond-mat/9706304.- 1997 - Published in : Phys. Rev. E 56 (1997) 322-325 External link: cond-mat/9706304 PDF - CERN library copies
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169.
Dislocations in quasicrystals and their interaction with cluster-like obstacles / Mikulla, R ; Gumbsch, P ; Trebin, H R
A dislocation moving through a quasicrystal is leaving in its wake a fault denoted phason wall. [...]
cond-mat/9708102 ; ITAP-97-8-1. - 1997. - 4 p.
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170.
Electronic transport properties of quasicrystals : a Review / Roche, S ; De Laissardière, G T ; Mayou, D
We present a review of some results concerning electronic transport properties of quasicrystals. [...]
cond-mat/9708016. - 1997. - 28 p.
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171.
Symmetry of Magnetically Ordered Quasicrystals / Lifshitz, R
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. [...]
cond-mat/9801296.- 1998 - Published in : Phys. Rev. Lett. 80 (1998) 2717 External link: cond-mat/9801296 PDF
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172.
Elastic Green's Function of Icosahedral Quasicrystals / Bachteler, J ; Trebin, H R
The elastic theory of quasicrystals considers, in addition to the normal displacement field, three phason degrees of freedom. [...]
cond-mat/9802201 ; ITAP-97-12-1. - 1998. - 8 p.
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173.
Stability of Colloidal Quasicrystals / Denton, A R ; Löwen, H
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. [...]
cond-mat/9803078.- 1998 - Published in : Phys. Rev. Lett. 81 (1998) 469 External link: cond-mat/9803078 PDF
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174.
Crack propagation in quasicrystals / Mikulla, R ; Stadler, J ; Krul, F ; Trebin, H R ; Gumbsch, P
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. [...]
cond-mat/9804279; ITAP-98-4-1.- 1998 - Published in : Phys. Rev. Lett. 81 (1998) 3163 External link: cond-mat/9804279 PDF
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175.
Fermi surfaces and anomalous transport in quasicrystals / Roche, S ; Fujiwara, T
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..
cond-mat/9807048.- 1998 - Published in : Phys. Rev. B 58 (1998) 11338 External link: cond-mat/9807048 PDF
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176.
Symmetry Structure of the Elser-Sloane Quasicrystal / Baake, M ; Gähler, F
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. [...]
cond-mat/9809100. - 1998. - 5 p.
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177.
Invariant Submodules and Semigroups of Self-Similarities for Fibonacci Modules / Baake, M ; Moody, R V
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..
math-ph/9809008.- 1998 - 7 p. External link: math-ph/9809008 PDF
In : International Conference on Aperiodic Crystals, Alpe d'Huez, France, 27 - 31 Aug 1997, pp.21-27
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178.
Correlation-enhanced Friedel oscillations in amorphous alloys and quasicrystals / Kroha, J
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. [...]
cond-mat/9810068.- Karlsruhe : Karlsruhe Fridericiana Univ., 1999 - Published in : J. Non-Cryst. Solids 250-252 (1999) 865 External link: cond-mat/9810068 PDF
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179.
Stability of a hard-sphere binary quasicrystal / Cataldo, H M
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. [...]
cond-mat/9811378.- 1999 - Published in : Philos. Mag., B: 79 (1999) , no. 10, pp. 1603 External link: cond-mat/9811378 PDF
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180.
Phonon-phason coupling in icosahedral quasicrystals / Zhu, W J ; Henley, C L
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. [...]
cond-mat/9812139. - 1998. - 7 p.
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181.
Growth Rates in the Quaquaversal Tiling / Draco, B ; Sadun, L A ; Van Wieren, D
Conway and Radin's ``quaquaversal'' tiling of R^3 is known to exhibit statistical rotational symmetry in the infinite volume limit. [...]
math-ph/9812018 ; UT-MA-98-013. - 1998. - 15 p.
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182.
Limit-(quasi)periodic point sets as quasicrystals with p-adic internal spaces / Baake, M ; Moody, R V ; Schlottmann, M
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. [...]
math-ph/9901008.- 1998 - Published in : J. Phys. A 31 (1998) 5755-5765 External link: math-ph/9901008 PDF
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183.
A guide to mathematical quasicrystals / Baake, M
This introductory survey deals with mathematical and physical properties of discrete structures such as point sets and tilings. [...]
math-ph/9901014. - 1999. - 34 p.
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184.
Anomalous effective charges and far IR optical absorption of $Al_{2}Ru$ from first principles / Ogut, S ; Rabe, K M
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. [...]
mtrl-th/9608004. - 1996. - 4 p.
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185.
Uniform spectral properties of one-dimensional quasicrystals; 1, Absence of eigenvalues / Damanik, D ; Lenz, D
We consider discrete one-dimensional Schrödinger operators with Sturmian potentials. [...]
math-ph/9903011. - 1999. - 10 p.
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186.
X-ray phase determination by the principle of minimum charge / Elser, V
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. [...]
cond-mat/9903063. - 1999. - 26 p.
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187.
Modelling Quasicrystal Growth / Grimm, U ; Joseph, D S
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. [...]
cond-mat/9903074. - 1999. - 21 p.
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188.
Comparing different approaches to model the atomic structure of a ternary decagonal quasicrystal / Wittmann, R
It is shown that the covering approach with a single decagonal prototile can be transformed into a hexagon, boat and star tiling. [...]
cond-mat/9903078. - 1999. - 14 p.
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189.
Tiling theory applied to the surface structure of icosahedral AlPdMn quasicrystals / Kramer, P H ; Papadopoulos, Z ; Teuscher, H
Surfaces in i-Al68Pd23Mn9 as observed with STM and LEED experiments show atomic terraces in a Fibonacci spacing. [...]
math-ph/9903008. - 1999. - 30 p.
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190.
Quasicrystals : The technique for Describing of Quasiperiodic Structures / Gulyaev, Y V
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. [...]
cond-mat/9903263. - 1999. - 34 p.
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191.
Quasicrystals : Atomic coverings and windows are dual projects / Kramer, P H
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 . [...]
math-ph/9904001.- Tübingen : Tübingen Univ., 1999 - Published in : J. Phys. A 32 (1999) 5781 External link: math-ph/9904001 PDF
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192.
A symmetry group of a Thue-Morse quasicrystal / Gazeau, J P ; Miekisz, J
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..
cond-mat/9904230.- 1998 - Published in : J. Phys. A 31 (1998) L435 External link: cond-mat/9904230 PDF
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193.
Quasicrystals in a Monodisperse System / Skibinsky, A ; Buldyrev, S V ; Scala, A ; Havlin, S ; Stanley, H E
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. [...]
cond-mat/9905244.- 1999 - Published in : Phys. Rev. E 60 (1999) 2664 External link: cond-mat/9905244 PDF
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194.
Uniform spectral properties of one-dimensional quasicrystals; 2, The Lyapunov exponent / Damanik, D ; Lenz, D
In this paper we introduce a method that allows one to prove uniform local results for one-dimensional discrete Schrödinger operators with Sturmian potentials. [...]
math-ph/9905008 ; MP-ARC-99-184. - 1999. - 10 p.
Access to fulltext document - Abstract from Mathematical Physics Preprint Archive mp_arc, Texas Univ. - Fulltext
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195.
s-convexity, model sets and their relation / Masakova, Z ; Patera, J ; Pelantová, E
The relation of s-convexity and sets modeling physical quasicrystals is explained for quasicrystals related to quadratic unitary Pisot numbers. [...]
math.LA/9907054 ; MSRI-1999-040. - 1999.
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196.
A quasi-unit cell model for Al-Ni-Co Ideal Quasicrystal based on clusters with broken 10-fold symmetry / Abe, E ; Saitô, K ; Takakura, H ; Tsai, A P ; Steinhardt, Paul Joseph ; Jeong, H C
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. [...]
cond-mat/9907160.- 2000 - Published in : Phys. Rev. Lett. 84 (2000) 4609 External link: cond-mat/9907160 PDF
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197.
Averaged shelling for quasicrystals / Baake, M ; Grimm, U ; Joseph, D S ; Repetowicz, 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. [...]
math.MG/9907156.- 2000 - 4 p. - Published in : Mater. Sci. Eng. A 294-296 (2000) 441-445 External link: math.MG/9907156 PDF
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198.
Anomalous electronic conductance in quasicrystals / Roche, S
Generic quantum interference effects occuring in 1D-quasicrystals are shown and discussed in details. [...]
cond-mat/9907406. - 1999. - 9 p.
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199.
Quantum interferences in quasicrystals / Roche, S
Contributions of quantum interference effects occuring in quasicrystals are emphasized. [...]
cond-mat/9907476. - 1999. - 5 p.
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200.
Repetitive Delone Sets and Quasicrystals / Lagarias, J C ; Pleasants, P A B
This paper considers the problem of characterizing the simplest discrete point sets that are aperiodic, using invariants based on topological dynamics. [...]
math.DS/9909033. - 1999. - 34 p.
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201.
Magnetic quasicrystals : What can we expect to see in their neutron diffraction data? / Lifshitz, R
The theory of magnetic symmetry in quasicrystals is used to characterize the nature of magnetic peaks, expected in elastic neutron diffraction experiments. [...]
cond-mat/9909272. - 1999. - 4 p.
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202.
Projection quasicrystals; 1, toral rotations / Forrest, A H ; Hunton, J ; Kellendonk, J
EXT-99-017 ; SFB-288-P-340. - 1998. - 42 p.
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203.
The Levels of Quasiperiodic Functions on the plane, Hamiltonian Systems and Topology / Novikov, S 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. [...]
math-ph/9909032.- 1999 - 4 p. - Published in : Russ. Math. Surv.: 54 (1999) , no. 5, pp. 1031-1032 External link: math-ph/9909032 PDF
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204.
Uniform spectral properties of one-dimensional quasicrystals; 3, $\alpha$-continuity / Damanik, D ; Killip, R B ; Lenz, D
We study the spectral properties of discrete one-dimensional Schrödinger operators with Sturmian potentials. It is shown that the point spectrum is always empty. [...]
math-ph/9910017; MP-ARC-2000-41.- Frankfurt am Main : Frankfurt am Main Univ., 2000 - Published in : Commun. Math. Phys. 212 (2000) 191 External links: math-ph/9910017 PDF; Abstract from Mathematical Physics Preprint Archive mp_arc, Texas Univ.; Fulltext
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205.
Conditions on the Occurrence of Magnetic Moments in Quasicrystals and Related Phases / De Laissardière, G T ; Mayou, D
We analyze the criterion for the appearance of magnetic moments in quasicrystals approximants and liquids Al-Mn. [...]
cond-mat/9910478. - 1999. - 4 p.
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206.
Projection quasicrystals; 2, versus substitution tilings / Forrest, A H ; Hunton, J ; Kellendonk, J
EXT-99-023 ; SFB-288-P-396. - 1999. - 33 p.
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207.
Electronic Transport Properties of Quasicrystalline Thin Films / Haberkern, R
Quasicrystals are assumed to be electronically stabilized by a Hume-Rothery type mechanism. [...]
cond-mat/9911426. - 1999. - 17 p.
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208.
Gordon-type arguments in the spectral theory of one-dimensional quasicrystals / Damanik, D
We review the recent developments in the spectral theory of discrete one-dimensional Schrödinger operators with potentials generated by substitutions and circle maps. [...]
math-ph/9912005 ; MP-ARC-99-472. - 1999. - 28 p.
Access to fulltext document - Abstract from Mathematical Physics Preprint Archive mp_arc, Texas Univ. - Fulltext
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209.
Anomalous Quantum Diffusion and Conductivity of Quasicrystals / Mayou, D
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. [...]
cond-mat/9912113. - 1999. - 4 p.
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210.
Interactions in Quasicrystals / Vidal, J ; Mouhanna, D ; Giamarchi, T
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. [...]
cond-mat/9912343. - 1999. - 9 p.
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211.
Lyapunov exponent for pure and random Fibonacci chains / Velhinho, M T ; Pimentel, I R
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. [...]
cond-mat/0001060.- 2000 - Published in : Phys. Rev. B 61 (2000) 1043 External link: cond-mat/0001060 PDF
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212.
Magnetoconductivity of icosahedral and amorphous Al-Pd-Re films : a comparison / Haberkern, R ; Rosenbaum, R ; Bekar, H ; Pilosof, N ; Milner, A ; Gerber, A B ; Häussler, P
The magnetoconductivity of quasicrystals is often discussed in the frame of quantum corrections, namely weak (anti-) localiza-tion and electron-electron interaction. [...]
cond-mat/0001209. - 2000. - 4 p.
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213.
Symmetry of the atomic displacement field at the quasicrystal-to-crystal phase transition / Rochal, S B
1999 - Published in : Phys. Rev. B 60 (1999) 12687
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214.
Combining Random Number Generators using Quasicrystals / Guimond, L S ; Masakova, Z ; Patera, J ; Pelantová, E
This paper discusses the use of aperiodic sequences in combining randomnumber generators (RNG). [...]
cs.DM/0003002. - 2000.
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215.
Solid-phase structures of the Dzugutov pair potential / Roth, J ; Denton, A R
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. [...]
cond-mat/0003159.- 2000 - Published in : Phys. Rev. E 61 (2000) 6845-6857
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216.
Statistics and implementation of APRNGs / Guimond, L S ; Patera, J ; Patera, J
We show how quasicystals can be used to improve the statistical properties of PRNGs. [...]
cs.DM/0003063. - 2000.
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217.
Structure determinations for random-tiling quasicrystals / Henley, C L ; Elser, V ; Mihalkovic, M
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. [...]
cond-mat/0004126. - 2000. - 19 p.
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218.
New Classes of Quasicrystals and Marginal Critical States / Fujita, N ; Niizeki, K
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. [...]
cond-mat/0004233.- 2000 - Published in : Phys. Rev. Lett. 85 (2000) 4924 External link: cond-mat/0004233 PDF
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219.
Non-spiky density of states of an icosahedral quasicrystal / Zijlstra, E B ; Janssen, T
The density of states of the ideal three-dimensional Penrose tiling, a quasicrystalline model, is calculated with a resolution of 10 meV. [...]
cond-mat/0006018. - 2000. - 7 p.
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220.
Solving the phase problem in i(AlPdMn) / Brown, K S ; Avanesov, A A ; Elser, V
We apply a new technique for ab initio phase determination [Acta Crystallogr. [...]
cond-mat/0006469. - 2000. - 4 p.
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221.
Self-Similar Measures for Quasicrystals / Baake, M ; Moody, R V
We study self-similar measures of Hutchinson type, defined by compact families of contractions, both in a single and multi-component setting. [...]
math.MG/0008063. - 2000. - 42 p.
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222.
The definition of quasicrystals / Lifshitz, R
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. [...]
cond-mat/0008152. - 2000.
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223.
Root lattices and quasicrystals / Baake, M ; Joseph, D S ; Kramer, P H ; Schlottmann, M
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..
cond-mat/0006062.- Dresden : Max-Planck Inst., 1990 - Published in : J. Phys. A 23 (1990) L1037-L1041 External link: cond-mat/0006062 PDF
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224.
Projection Quasicrystals 3 : Cohomology / Forrest, A H ; Hunton, J R ; Kellendonk, J
EXT-2000-201 ; SFB-288-P-459. - 2000. - 22 p.
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225.
Generalized Meyer Sets And Thue-morse Quasicrystals With Toric Internal Spaces / Verger-Gaugry, J L ; Wolny, J
1998.
Abstract
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226.
Mathematical Quasicrystals With Toric Internal Spaces, Diffraction And Thue-morse Sequence / Verger-Gaugry, J L ; Wolny, J ; Patera, J
1999.
Abstract
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227.
Classification of One-dimensional Quasilattices into Mutual Local-Derivability Classes / Niizeki, K ; Fujita, N
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..
cond-mat/0009422.- 2002 - 25 p. - Published in : J. Phys. Soc. Jpn.: 71 (2002) , pp. 99-118 External link: cond-mat/0009422 PDF
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228.
Symmetries Of Quasicrystals / Radin, C
MP-ARC-98-499. - 1998.
Abstract from Mathematical Physics Preprint Archive mp_arc, Texas Univ. - Fulltext
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229.
Nmr And Nqr Study Of The Thermodynamically Stable Quasicrystals / Shastri, A
IS-T-1731. - Ames, IA : Iowa State Univ. Ames Lab., 1995.

Records from U.S. DOE Office of Scientific and Technical Information
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230.
Surface Structures Of Al-pd-mn And Al-cu-fe Icosahedral Quasicrystals / Shen, Z
IS-T-1853. - Ames, IA : Iowa State Univ. Ames Lab., 1999.

Records from U.S. DOE Office of Scientific and Technical Information
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231.
Cohomology groups for projection point patterns / Forrest, A H ; Hunton, J ; Kellendonk, J
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. [...]
math-ph/0010050 ; LEICESTER-2000-37. - 2000. - 7 p.
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232.
Hybridization Mechanism for Cohesion of Cd-based Quasicrystals / Ishii, Y ; Fujiwara, T
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. [...]
cond-mat/0012485.- 2001 - Published in : Phys. Rev. Lett. 87 (2001) 206408 External link: cond-mat/0012485 PDF
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233.
Electronic properties of ternary quasicrystals / Fujita, N ; Niizeki, K
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. [...]
cond-mat/0101347. - 2001. - 18 p.
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234.
Total-energy-based prediction of a quasicrystal structure / Al-Lehyani, I H ; Cockayne, E ; Henley, C L ; Moghadam, N ; Moriarty, J A ; Wang, Y ; Widom, M
Quasicrystals are metal alloys whose noncrystallographic symmetry and lack of structural periodicity challenge methods of experimental structure determination. [...]
cond-mat/0102085. - 2001. - 13 p.
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235.
Uniform spectral properties of one-dimensional quasicrystals; 4, Quasi-Sturmian potentials / Damanik, D ; Lenz, D
We consider discrete one-dimensional Schr\"odinger operators with quasi-Sturmian potentials. [...]
math-ph/0105034 ; MP-ARC-2001-190. - 2001. - 20 p.
Access to fulltext document - Abstract from Mathematical Physics Preprint Archive mp_arc, Texas Univ.
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236.
Less singular quasicrystals : the codimension one Rauzy tilings / Jagannathan, A
The Rauzy tilings were proposed recently in a generalisation of the Fibonacci chain by Vidal and Mosseri. [...]
cond-mat/0105501. - 2001. - 11 p.
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237.
New phasing method based on the principle of minimum charge / Kalugin, P
A new method of the phase determination in X-ray crystallography is proposed. [...]
cond-mat/0105546. - 2001. - 10 p.
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238.
Singular spectrum of Lebesgue measure zero for one-dimensional quasicrystals / Lenz, D
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. [...]
math-ph/0106012.- Frankfurt am Main : Frankfurt am Main Univ., 2002 - 14 p. - Published in : Commun. Math. Phys. 227 (2002) 119-130 External link: math-ph/0106012 PDF
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239.
Anomalous NMR response of quasicrystalline icosahedral A_{72.4}Pd_{20.5}Mn_{7.1} at low temperatures / Gavilano, J L ; Rau, D C ; Mushkolaj, S ; Ott, H R ; Dolinsek, J ; Urban, K
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. [...]
cond-mat/0106447. - 2001. - 5 p.
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240.
Crystallographic Method for Exact Describing Quasicrystal Structures / Gouliaev, V
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. [...]
cond-mat/0107191. - 2001. - 8 p.
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241.
Formation of a stable deacagonal quasicrystalline Al-Pd-Mn surface layer / Naumovic, D ; Aebi, P ; Schlapbach, L ; Beeli, C ; Kunze, Kerstin E ; Lograsso, T A ; Delaney, D W
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. [...]
cond-mat/0107400.- 2001 - Published in : Phys. Rev. Lett. 87 (2001) 195506 External link: cond-mat/0107400 PDF
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242.
Geometric Study Of The Set b>zb>_of Beta-integers With A Perron Number, A -number And A Pisot Number And Mathematical Quasicrystals. / Verger-Gaugry, J L ; Gazeau, J P
2000.
Abstract
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243.
The 3D Split-Ring Reentrant Cavity Lattice: A New Metastructure for Engineering Arrays of Coupled Microwave Harmonic Oscillators / Goryachev, Maxim ; Tobar, Michael E
A new electromagnetic metastructure, a lattice of 3D cavities consisting of an array of reentrant posts is presented. [...]
arXiv:1408.3228. - 2014.
Preprint
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244.
Topological Photonics / Lu, Ling ; Joannopoulos, John D ; Soljačić, Marin
Topology is revolutionizing photonics, bringing with it new theoretical discoveries and a wealth of potential applications. [...]
arXiv:1408.6730. - 2014. - 12 p.
Preprint
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245.
Decagonal quasicrystal-like mesoscopic order in three-dimentional purely repulsive simple fluid / Ryltsev, R E ; Klumov, B A ; Chtchelkatchev, N M
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. [...]
arXiv:1410.7294. - 2014. - 5 p.
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246.
Tiling Phosphorene / Guan, Jie ; Zhu, Zhen ; Tománek, David
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. [...]
arXiv:1411.6318. - 2014.
Preprint
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247.
Bloch-like wave dynamics in disordered potentials based on supersymmetry / Yu, Sunkyu ; Piao, Xianji ; Hong, Jiho ; Park, Namkyoo
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. [...]
arXiv:1501.02591. - 2015.
Preprint
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248.
Two dimensional photonic quasicrystal edge states protected by second Chern number / Zhang, Xiao
Topological physics in photonic systems have attracted great attentions in recent years. [...]
arXiv:1504.03938. - 2015.
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249.
Octonacci Photonic Quasicrystals / Brand, E R ; Costa, C H ; Vasconcelos, M S ; Anselmo, D H A L ; Mello, V D
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 $S_{2}=B$ [...]
arXiv:1504.06214. - 2015.
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250.
One-dimensional photonic quasicrystals / Ghulinyan, Mher
In this chapter, first we will address principal aspects of 1D quasiperiodicity with a particular focus on 1D Fibonacci chains. [...]
arXiv:1505.02400. - 2015. - 16 p.
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251.
Digital Alchemy for Materials Design and Optimization / van Anders, Greg ; Klotsa, Daphne ; Karas, Andrew S ; Dodd, Paul M ; Glotzer, Sharon C
Starting with the early alchemists, a holy grail of science has been to make desired materials by modifying the attributes of basic building blocks. [...]
arXiv:1507.04960. - 2015. - 8+13 p.
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252.
Optical Mode Control by Geometric Phase in Quasicrystal Metasurface / Yulevich, Igor ; Maguid, Elhanan ; Shitrit, Nir ; Veksler, Dekel ; Kleiner, Vladimir ; Hasman, Erez
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. [...]
arXiv:1507.06774. - 2015. - 30 p.
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253.
Topological properties of Fibonacci quasicrystals : A scattering analysis of Chern numbers / Levy, E ; Barak, A ; Fisher, A ; Akkermans, E
We report on a study of topological properties of Fibonacci quasicrystals. [...]
arXiv:1509.04028. - 2015.
Preprint
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254.
Reflection Quasilattices and the Maximal Quasilattice / Boyle, Latham ; Steinhardt, Paul J
We introduce the concept of a {\it reflection quasilattice}, the quasiperiodic generalization of a Bravais lattice with irreducible reflection symmetry. [...]
arXiv:1604.06426. - 2016. - 5 p.
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255.
Quasicrystals: Making invisible materials / Boriskina, Svetlana V
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..
arXiv:1604.08124.- 2016 - 5 p. - Published in : Nature Photonics 9(7):422-424, June 2015 External link: Preprint
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256.
Deterministic aperiodic composite lattice-structured silicon thin films for photon management / Xavier, Jolly ; Probst, Juergen ; Becker, Christiane
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. [...]
arXiv:1605.06107. - 2016.
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257.
Surface-wave photonic quasicrystal / Gao, Zhen ; Gao, Fei ; Zhang, Youming ; Xu, Hongyi ; Zhang, Baile
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. [...]
arXiv:1606.08302. - 2016.
Preprint
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258.
Direct measurement of Chern numbers in the diffraction pattern of a Fibonacci chain / Dareau, A ; Levy, E ; Aguilera, M Bosch ; Bouganne, R ; Akkermans, E ; Gerbier, F ; Beugnon, J
Topological properties are now understood to be a key feature of many different physical systems, from topological insulators to quasicrystals. [...]
arXiv:1607.00901. - 2016.
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259.
Exploring topological edge states in photonic quasicrystals / Baboux, F ; Levy, E ; Lemaître, A ; Gomez, C ; Galopin, E ; Gratiet, L Le ; Sagnes, I ; Amo, A ; Bloch, J ; Akkermans, E
We experimentally investigate the topological properties of quasiperiodic chains using cavity polaritons confined in a potential following the Fibonacci sequence. [...]
arXiv:1607.03813. - 2016. - 5 p.
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260.
Self-assembly of two-dimensional binary quasicrystals: A possible route to a DNA quasicrystal / Reinhardt, Aleks ; Schreck, John S ; Romano, Flavio ; Doye, Jonathan P K
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. [...]
arXiv:1607.06626. - 2016.
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261.
Catalytic mechanism of LENR in quasicrystals based on localized anharmonic vibrations and phasons / Dubinko, Volodymyr ; Laptev, Denis ; Irwin, Klee
Quasicrystals (QCs) are a novel form of matter, which are neither crystalline nor amorphous. [...]
arXiv:1609.06625. - 2016. - 16 p.
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262.
A photonic thermalization gap in disordered lattices / Kondakci, H E ; Abouraddy, A F ; Saleh, B E A
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. [...]
arXiv:1609.07608.- 2016 - 12 p. - Published in : Nature Phys. 11 (2015) 930 External link: Preprint
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263.
Bio-inspired seismic metamaterials: Time domain simulations in transformed crystals / Aznavourian, Ronald ; Puvirajesinghe, Tania ; Brule, Stephane ; Enoch, Stefan ; Guenneau, Sebastien
We introduce the concept of transformation crystallography which consists of the application of geometric transforms to periodic structures. [...]
arXiv:1611.00867. - 2016. - 25 p.
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264.
Octonacci Photonic Crystals with Negative Refraction Index Materials / Brandao, E R ; Vasconcelos, M S ; Anselmo, D H A L
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. [...]
arXiv:1611.05303.- 2016 - 23 p. - Published in : Optical Materials,2016 External link: Preprint
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265.
Anamorphic Quasiperiodic Universes in Modified and Einstein Gravity with Loop Quantum Gravity Corrections / Amaral, Marcelo M ; Aschheim, Raymond ; Bubuianu, Laurenţiu ; Irwin, Klee ; Vacaru, Sergiu I ; Woolridge, Daniel
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. [...]
arXiv:1611.05295. - 2016. - 30 p.
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266.
Starobinsky Inflation and Dark Energy and Dark Matter Effects from Quasicrystal Like Spacetime Structures / Aschheim, R ; Bubuianu, L ; Fang, Fang ; Irwin, Klee ; Ruchin, V ; Vacaru, S
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. [...]
arXiv:1611.04858. - 2016. - 28 p.
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