Higher-Order Topological Insulators in Quasicrystals

Rui Chen, Chui-Zhen Chen, Jin-Hua Gao, Bin Zhou, and Dong-Hui Xu
Phys. Rev. Lett. 124, 036803 – Published 22 January 2020

Abstract

Current understanding of higher-order topological insulators (HOTIs) is based primarily on crystalline materials. Here, we propose that HOTIs can be realized in quasicrystals. Specifically, we show that two distinct types of second-order topological insulators (SOTIs) can be constructed on the quasicrystalline lattices (QLs) with different tiling patterns. One is derived by using a Wilson mass term to gap out the edge states of the quantum spin Hall insulator on QLs. The other is the quasicrystalline quadrupole insulator (QI) with a quantized quadrupole moment. We reveal some unusual features of the corner states (CSs) in the quasicrystalline SOTIs. We also show that the quasicrystalline QI can be simulated by a designed electrical circuit, where the CSs can be identified by measuring the impedance resonance peak. Our findings not only extend the concept of HOTIs into quasicrystals but also provide a feasible way to detect the topological property of quasicrystals in experiments.

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  • Received 21 July 2019

DOI:https://doi.org/10.1103/PhysRevLett.124.036803

© 2020 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter & Materials Physics

Authors & Affiliations

Rui Chen1, Chui-Zhen Chen2, Jin-Hua Gao3,*, Bin Zhou1,†, and Dong-Hui Xu1,‡

  • 1Department of Physics, Hubei University, Wuhan 430062, China
  • 2Institute for Advanced Study and School of Physical Science and Technology, Soochow University, Suzhou 215006, China
  • 3School of Physics and Wuhan National High Magnetic Field Center, Huazhong University of Science and Technology, Wuhan 430074, China

  • *jinhua@hust.edu.cn
  • binzhou@hubu.edu.cn
  • donghuixu@hubu.edu.cn

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Vol. 124, Iss. 3 — 24 January 2020

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