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The discretely diffracting aperiodic crystals termed quasicrystals, discovered at NBS in the early 1980s, have led to much interdisciplinary activity involving mainly materials science, physics, mathematics, and crystallography. It led to a new understanding of how atoms can arrange themselves, the role of periodicity in nature, and has created a new ...
Cahn, J.W.
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Defects in Static Elasticity of Quasicrystals
A review on mathematical elasticity of quasicrystals is given. In this review, the focus is on various defects of quasicrystals. Dislocation and crack are two classes of typical topological defects, while their existence has great influence on the ...
Qin Xu, Jing Lu, Wu Li
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Extension of Elastic Models to Decagonal Quasicrystals
The main design of this paper is to adopt potential functions for solving plane defect problems originating from two-dimensional decagonal quasicrystals.
Wu Li, Yiqing Shi
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Topological decomposition and transformation of photonic quasicrystals [PDF]
Photonic quasicrystals, generated through the interference of multiple vortex beams, exhibit rich and complex topological landscapes. However, unlike their periodic counterparts, they have far lacked the same level of controllability and ...
Wang Hao +4 more
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On the Constitutive Modelling of Piezoelectric Quasicrystals
Quasicrystals endowed with piezoelectric properties belong nowadays to novel piezoelectric materials. In this work, the basic framework of generalized piezoelectricity theory of quasicrystals is investigated by providing an improvement of the existing ...
Eleni Agiasofitou, Markus Lazar
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Numerical methods for quasicrystals [PDF]
27 pages, 8 figures, 6 ...
Kai Jiang, Pingwen Zhang
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Quasicrystal synthesis by shock compression [PDF]
Quasicrystals are of interest because of their unique nonperiodic structures and physical properties. Motivated by naturally occurring icosahedral AlCuFe- and decagonal AlNiFe-phases hosted in a shocked meteorite, different laboratories have undertaken a
Jinping Hu +4 more
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Three-Dimensional and Two-Dimensional Green Tensors of Piezoelectric Quasicrystals
In this work, within the framework of the linear piezoelectricity theory of quasicrystals, the three-dimensional and two-dimensional Green tensors for arbitrary piezoelectric quasicrystals are derived.
Markus Lazar, Eleni Agiasofitou
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Hierarchical ground-state crystals underlying Hertzian quasicrystals [PDF]
As a simple physics model for crystal and quasicrystal formation, the Hertzian potential describes the interaction between two soft-core colloidal particles.
Yao Li +5 more
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Quantum Many-Body Topology of Quasicrystals
In this paper, we characterize quasicrystalline interacting topological phases of matter, i.e., phases protected by some quasicrystalline structure. We show that the elasticity theory of quasicrystals, which accounts for both “phonon” and “phason” modes,
Dominic V Else +2 more
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