Aperiodic topological crystalline insulators

Huang, Huaqing; Wu, Yong-Shi; Liu, Feng

doi:10.1103/PhysRevB.101.041103

Title: Aperiodic topological crystalline insulators

Journal Article · Mon Jan 06 00:00:00 EST 2020 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.101.041103· OSTI ID:1581164

Huang, Huaqing ^[1]; Wu, Yong-Shi ^[2];

^[1]

Univ. of Utah, Salt Lake City, UT (United States)
Univ. of Utah, Salt Lake City, UT (United States); Fudan Univ., Shanghai (China)

Topological crystalline insulators (TCIs) are normally described with topological protection imposed by the crystalline symmetry. In general, yet, the existence of TCI states does not necessitate the periodicity of crystals as long as an essential lattice symmetry can be identified. Here we demonstrate the compatibility of TCIs with aperiodic systems, as exemplified by an octagonal quasicrystal. The aperiodic TCIs we proposed are attributed to a band inversion mechanism, which inverts states with the same parity but opposite eigenvalues of a specific symmetry (such as mirror reflection). The nontrivial topology is characterized by a nonzero integer "mirror Bott index". Furthermore, we demonstrate that the topological edge states and quantized conductance of the aperiodic TCI, which are robust against disorder, can be effectively manipulated by external electric fields. Our findings not only provide a better understanding of electronic topology in relation to symmetry but also extend the experimental realization of topological states to much broader material categories beyond crystals.

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Research Organization:: Univ. of Utah, Salt Lake City, UT (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: FG02-04ER46148

OSTI ID:: 1581164

Journal Information:: Physical Review B, Vol. 101, Issue 4; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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