Special Defects in Quasicrystals

Janot, Chr.; Loreto, L.; Farinato, Raymond S.

doi:10.1002/1521-3951(200011)222:1<121::aid-pssb121>3.0.co;2-p

Cited by 10 publications

(4 citation statements)

References 27 publications

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“…Just as phonon modes arise from discretely broken real-space translation symmetry, phason modes arise from broken translation in the higher-dimensional space from which all quasiperiodic lattices are projected [40][41][42]. Phasons have important but incompletely understood effects on thermal and electronic transport in real quasicrystals [43]. Because they involve long-range rearrangement of atoms, phasons are typically not dynamical degrees of freedom in solidstate quasicrystals; they are generally pinned to disorder or present as strain.…”

Section: Scientific Motivation: Quasicrystals and Phasonsmentioning

confidence: 99%

Quantum Emulation of Extreme Non‐Equilibrium Phenomena with Trapped Atoms

et al. 2017

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Section: Scientific Motivation: Quasicrystals and Phasonsmentioning

confidence: 99%

Quantum Emulation of Extreme Non‐Equilibrium Phenomena with Trapped Atoms

et al. 2017

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“…While of course the optical lattice potentials here are externally imposed and hence do not have true dynamical Goldstone modes, we may simulate the effects of phonons and phasons by suitable manipulations of the lattice and cut- ting lasers: for instance, shaking the lattice parallel or transverse to the cut corresponds to driving a phonon or a phason, respectively. Phasons have important but incompletely understood effects on thermal and electronic transport in real quasicrystals [47]. This is of interest not only for fundamental reasons, but also because of potential technological applications of quasicrystals' anomalous electrical and thermal transport characteristics.…”

Section: Selected Applications: Topological Pumping and Phason Spmentioning

confidence: 99%

Fibonacci optical lattices for tunable quantum quasicrystals

et al. 2015

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We describe a quasiperiodic optical lattice, created by a physical realization of the abstract cut-and-project construction underlying all quasicrystals. The resulting potential is a generalization of the Fibonacci tiling. Calculation of the energies and wavefunctions of ultracold atoms loaded into such a lattice demonstrate a multifractal energy spectrum, a singular continuous momentum-space structure, and the existence of controllable edge states. These results open the door to cold atom quantum simulation experiments in tunable or dynamic quasicrystalline potentials, including topological pumping of edge states and phasonic spectroscopy.Comment: 8 pages, 5 figure

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“…In nanostructures, the surfaces can cause ''dislocation starvation,'' leading to very high strength [3], but surfaces also serve as points of dislocation nucleation that ultimately allow the nanostructure to yield [4,5]. Defects in quasicrystals [6,7]-a type of ordered, but nonperiodic solids-are even more complex than in crystalline materials, since quasicrystals can contain a different type of defect, known as a phason flip [8]. In this paper, we report a new type of phason defect at the surface of a quasicrystal, a defect which bridges the bulk and the surface in an unexpected way.…”

mentioning

confidence: 99%