The DOI matches its Crossref record; 118 of the 118 references it cites were found in a registry or an index.
Wilson-loop characterization of inversion-symmetric topological insulators
Open accessAbstract
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 ${\mathbb{Z}}^{\ensuremath{\ge}}$ 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 ${\mathbb{Z}}_{2}$ 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.
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Cites
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Cited by
Quantized electric multipole insulators
Benalcazar, W. A., Bernevig, B. A., & Hughes, T. L. (2017) · Science · doi:10.1126/science.aah6442 · Cited by 2,029
Self-citationHigher-order topological insulators
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Self-citationBenalcazar, W. A., Bernevig, B. A., & Hughes, T. L. (2017) · Physical Review B · doi:10.1103/physrevb.96.245115 · Cited by 1,389
Self-citationBeyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
Bradlyn, B., Cano, J., Wang, Z., Vergniory, M. G., Felser, C., Cava, R. J., & Bernevig, B. A. (2016) · Science · doi:10.1126/science.aaf5037 · Cited by 1,252
Self-citationTopological bands for ultracold atoms
Cooper, N. R., Dalibard, J., & Spielman, I. B. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015005 · Cited by 940
Metadata
- Authors
- Alexandradinata, A., Dai, X., & Bernevig, B. A.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2014-04-11
- Volume
- 89
- Issue
- 15
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2964320881
- Cited by
- 388
- References
- 118
- FWCI
- 5.49
- Type
- journal article
- Language
- en
- Open access
- green
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