Diffractive point sets with entropy
After a brief historical survey, the paper introduces the notion of entropic model sets (cut and project sets), and, more generally, the notion of diffractive point sets with entropy. Such sets may be thought of as generalizations of lattice gases.
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Local Complexity of Delone Sets and Crystallinity
This paper characterizes when a Delone set X is an ideal crystal in terms of restrictions on the number of its local patches of a given size or on the hetereogeneity of their distribution.
Alessandri +27 more
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Wood anomalies in resonant photonic quasicrystals
A theory of light diffraction from planar quasicrystalline lattice with resonant scatterers is presented. Rich structure, absent in the periodic case, is found in specular reflection spectra, and interpreted as a specific kind of Wood anomalies ...
A. N. Poddubny +3 more
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Open theoretical problems in the physics of aperiodic systems [PDF]
Quasicrystals have intrigued and stimulated research in a large number of disciplines. Mathematicians, physicists, chemists, metallurgists and materials scientists have found in them a fertile ground for new insights and discoveries.
Jagannathan, Anuradha
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Aperiodic Crystals. From Modulated Phases to Quasicrystals: Structure and Properties. Second edition. By Ted Janssen, Gervais Chapuis and Marc de Boissieu. Oxford University Press, 2018. Pp. 560. Price GBP 45.00 (paperback). ISBN 9780198824442. [PDF]
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Aperiodic crystals: from modulated phases to quasicrystals. By T. Janssen, G. Chapuis, and M. de Boissieu.IUCr Monographs on Crystallography, No. 20. Oxford: IUCr/Oxford University Press, 2007. Pp. 466. Price GBP 75.00. ISBN 978-0-19-856777-6. [PDF]
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Field-induced magnetic phases in a qubit Penrose quasicrystal. [PDF]
Lopez-Bezanilla A, Nisoli C.
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Structural studies of local environments in high-symmetry quasicrystals. [PDF]
Sosa ARM +3 more
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Dodecagonal quasicrystals of oil-swollen ionic surfactant micelles. [PDF]
Jayaraman A +3 more
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Chiral spiral cyclic twins. II. A two-parameter family of cyclic twins composed of discrete circle involute spirals. [PDF]
Hornfeck W.
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