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Wilson-loop characterization of inversion-symmetric topological insulators

Author(s): Alexandradinata, A; Dai, Xi; Bernevig, Bogdan A

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Abstract: The ground state of translationally invariant insulators comprises bands which can assume topologically distinct structures. There are few known examples where this distinction is enforced by a point-group symmetry alone. In this paper we show that 1D and 2D insulators with the simplest point-group symmetry, inversion, have a Z(>=) classification. In 2D, we identify a relative winding number that is solely protected by inversion symmetry. By analysis of Berry phases, we show that this invariant has similarities with the first Chern class (of time-reversal breaking insulators), but is more closely analogous to the Z(2) invariant (of time-reversal invariant insulators). Implications of our work are discussed in holonomy, the geometric-phase theory of polarization, the theory of maximally localized Wannier functions, and in the entanglement spectrum.
Publication Date: 11-Apr-2014
Citation: Alexandradinata, A, Dai, Xi, Bernevig, B Andrei. (2014). Wilson-loop characterization of inversion-symmetric topological insulators. PHYSICAL REVIEW B, 89 (10.1103/PhysRevB.89.155114
DOI: doi:10.1103/PhysRevB.89.155114
ISSN: 2469-9950
EISSN: 2469-9969
Type of Material: Journal Article
Journal/Proceeding Title: PHYSICAL REVIEW B
Version: Final published version. Article is made available in OAR by the publisher's permission or policy.

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