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Equivalent expression ofZ2topological invariant for band insulators using the non-Abelian Berry connection

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Yu, Rui, Qi, Xiao Liang, Bernevig, Andrei, Fang, Zhong, Dai, Xi·2011·Physical Review B

Abstract

We introduce an expression for the ${\mathbb{Z}}_{2}$ topological invariant of band insulators using the non-Abelian Berry connection. Our expression can identify the topological nature of a general band insulator without any of the gauge-fixing problems that plague the concrete implementation of previous invariants. This expression can be derived from the ``partner switching'' of the Wannier function center during time-reversal pumping and is thus equivalent to the ${Z}_{2}$ topological invariant proposed by Kane and Mele. Using our expression, we have recalculated the ${Z}_{2}$ topological index for several topological insulator material systems and obtained consistent results with the previous studies.

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Metadata

Authors
Yu, R., Qi, X. L., Bernevig, A., Fang, Z., & Dai, X.
Venue
Physical Review B
Published
2011-08-08
Volume
84
Issue
7
ISSN
  • 1098-0121 (ISSN-L)
  • 1550-235X
OpenAlex
W2050874073
Cited by
884
References
19
FWCI
8.52
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Equivalent expression ofZ2topological invariant for band insulators using the non-Abelian Berry connection. https://app.cochat.ai/papers/10.1103/physrevb.84.075119
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Yu, R., Qi, X. L., Bernevig, A., Fang, Z., & Dai, X. (2011). Equivalent expression ofZ2topological invariant for band insulators using the non-Abelian Berry connection. Physical Review B. https://doi.org/10.1103/physrevb.84.075119

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