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.
@article{arxiv.2108.04971,
title = {Higher-order topological Anderson insulators in quasicrystals},
author = {Tan Peng and Chun-Bo Hua and Rui Chen and Zheng-Rong Liu and Dong-Hui Xu and Bin Zhou},
journal= {arXiv preprint arXiv:2108.04971},
year = {2021}
}