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Higher-order topological Anderson insulators in quasicrystals

2021/08/31 by Tan Peng, Chun-Bo Hua, Rui Chen +3 · 1 citation
Physics and Astronomy · #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.104.245302

published as Phys. Rev. B 104, 245302 (2021)

arxiv created 2021/12/13 · arxiv updated 2021/12/14

Abstract

The disorder effects on higher-order topological phases in periodic systems have attracted much attention. However, in aperiodic systems, such as quasicrystalline systems, the interplay between disorder and higher-order topology is still unclear. In this paper, we investigate the effects of disorder on two types of second-order topological insulators, including a quasicrystalline quadrupole insulator and a modified quantum spin Hall insulator, in a two-dimensional Amman-Beenker tiling quasicrystalline lattice. We demonstrate that the higher-order topological insulators are robust against weak disorder in both models. More striking, the disorder-induced higher-order topological insulators called higher-order topological Anderson insulators are found at a certain region of disorder strength in both models. Our paper extends the study of the interplay between disorder and higher-order topology to quasicrystalline systems.

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