Comment on "Topological equivalence of crystal and quasicrystal band structures"

Yaacov E. Kraus; Zohar Ringel; Oded Zilberberg

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arXiv · 1308.2378

Comment on "Topological equivalence of crystal and quasicrystal band structures"

Yaacov E. Kraus·Zohar Ringel·Oded Zilberberg

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Abstract

Madsen et al. [arXiv:1307.2577] claim that one-dimensional insulating crystals and one-dimensional insulating quasicrystals are topologically equivalent and, thus, trivial. In this comment, we clarify that in topological classification of one-dimensional systems, quasiperiodicity plays a role similar to that of a symmetry. Hence, periodic systems are out of the quasiperiodic topological space, and the equivalence between quasicrystals and crystals becomes immaterial.

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Yaacov E. Kraus, Zohar Ringel, Oded Zilberberg. 2013-08-11. Comment on "Topological equivalence of crystal and quasicrystal band structures". https://arxiv.org/abs/1308.2378

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