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Reflection-Symmetric Second-Order Topological Insulators and Superconductors

Open access
Langbehn, Josias, Peng, Yang, Trifunovic, Luka, von Oppen, Felix, Brouwer, Piet W.·2017·Physical Review Letters

Abstract

Second-order topological insulators are crystalline insulators with a gapped bulk and gapped crystalline boundaries, but with topologically protected gapless states at the intersection of two boundaries. Without further spatial symmetries, five of the ten Altland-Zirnbauer symmetry classes allow for the existence of such second-order topological insulators in two and three dimensions. We show that reflection symmetry can be employed to systematically generate examples of second-order topological insulators and superconductors, although the topologically protected states at corners (in two dimensions) or at crystal edges (in three dimensions) continue to exist if reflection symmetry is broken. A three-dimensional second-order topological insulator with broken time-reversal symmetry shows a Hall conductance quantized in units of e^{2}/h.

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Metadata

Authors
Langbehn, J., Peng, Y., Trifunovic, L., von Oppen, F., & Brouwer, P. W.
Venue
Physical Review Letters
Published
2017-12-11
Volume
119
Issue
24
Pages
246401-246401
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
OpenAlex
W2745740700
Cited by
973
References
9
FWCI
43.02
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Reflection-Symmetric Second-Order Topological Insulators and Superconductors. https://app.cochat.ai/papers/10.1103/physrevlett.119.246401
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Langbehn, J., Peng, Y., Trifunovic, L., von Oppen, F., & Brouwer, P. W. (2017). Reflection-Symmetric Second-Order Topological Insulators and Superconductors. Physical Review Letters. https://doi.org/10.1103/physrevlett.119.246401

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