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Higher-order topological insulators

Science advances, 2018-06, Vol.4 (6), p.eaat0346-eaat0346 [Peer Reviewed Journal]

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). 2018 The Authors ;ISSN: 2375-2548 ;EISSN: 2375-2548 ;DOI: 10.1126/sciadv.aat0346 ;PMID: 29869644

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  • Title:
    Higher-order topological insulators
  • Author: Schindler, Frank ; Cook, Ashley M ; Vergniory, Maia G ; Wang, Zhijun ; Parkin, Stuart S P ; Bernevig, B Andrei ; Neupert, Titus
  • Subjects: MATERIALS SCIENCE ; SciAdv r-articles
  • Is Part Of: Science advances, 2018-06, Vol.4 (6), p.eaat0346-eaat0346
  • Description: 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 -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 -classified. We provide the topological invariants for both cases. Furthermore, we show that SnTe as well as surface-modified Bi TeI, BiSe, and BiTe are helical higher-order topological insulators and propose a realistic experimental setup to detect the hinge states.
  • Publisher: United States: AAAS
  • Language: English
  • Identifier: ISSN: 2375-2548
    EISSN: 2375-2548
    DOI: 10.1126/sciadv.aat0346
    PMID: 29869644
  • Source: PubMed Central
    DOAJ Directory of Open Access Journals
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