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Higher-order topological insulators
File(s)
sciadv.aat0346.pdf (733.16 KB)
Published version
Author(s)
Schindler, Frank
Cook, Ashley M
Vergniory, Maia G
Wang, Zhijun
Parkin, Stuart SP
Type
Journal Article
Abstract
Three-dimensional topological (crystalline) insulators are materials with an insulating bulk but conducting surface states that are topologically protected by time-reversal (or spatial) symmetries. We extend the notion of three-dimensional topological insulators to systems that host no gapless surface states but exhibit topologically protected gapless hinge states. Their topological character is protected by spatiotemporal symmetries of which we present two cases: (i) Chiral higher-order topological insulators protected by the combination of time-reversal and a fourfold rotation symmetry. Their hinge states are chiral modes, and the bulk topology is Z2 -classified. (ii) Helical higher-order topological insulators protected by time-reversal and mirror symmetries. Their hinge states come in Kramers pairs, and the bulk topology is Z -classified. We provide the topological invariants for both cases. Furthermore, we show that SnTe as well as surface-modified Bi2TeI, BiSe, and BiTe are helical higher-order topological insulators and propose a realistic experimental setup to detect the hinge states.
Date Issued
2018-06-01
Date Acceptance
2018-04-18
Citation
Science Advances, 2018, 4 (6), pp.1-7
URI
URL
DOI
ISSN
2375-2548
Publisher
American Association for the Advancement of Science
Start Page
1
End Page
7
Journal / Book Title
Science Advances
Volume
4
Issue
6
Copyright Statement
Copyright © 2018
The Authors, some
rights reserved;
exclusive licensee
American Association
for the Advancement
of Science. No claim to
original U.S. Government
Works. Distributed
under a Creative
Commons Attribution
NonCommercial
License 4.0 (CC BY-NC).
License URL
Identifier
https://www.ncbi.nlm.nih.gov/pubmed/29869644
PII: aat0346
Publication Status
Published
Coverage Spatial
United States
Article Number
eaat0346
Date Publish Online
2018-06-01