The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Wannier representation ofZ2topological insulators
Open accessAbstract
We consider the problem of constructing Wannier functions for ${\mathbb{Z}}_{2}$ topological insulators in two dimensions. It is well known that there is a topological obstruction to the construction of Wannier functions for Chern insulators, but it has been unclear whether this is also true for the ${\mathbb{Z}}_{2}$case. We consider the Kane-Mele tight-binding model, which exhibits both normal (${\mathbb{Z}}_{2}$-even) and topological (${\mathbb{Z}}_{2}$-odd) phases as a function of the model parameters. In the ${\mathbb{Z}}_{2}$-even phase, the usual projection-based scheme can be used to build the Wannier representation. In the ${\mathbb{Z}}_{2}$-odd phase, we do find a topological obstruction, but only if one insists on choosing a gauge that respects the time-reversal symmetry, corresponding to Wannier functions that come in time-reversal pairs. If, instead, we are willing to violate this gauge condition, a Wannier representation becomes possible. We present an explicit construction of Wannier functions for the ${\mathbb{Z}}_{2}$-odd phase of the Kane-Mele model via a modified projection scheme, followed by maximal localization, and confirm that these Wannier functions correctly represent the electric polarization and other electronic properties of the insulator.
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Cites
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Maximally localized Wannier functions: Theory and applications
Marzari, N., Mostofi, A. A., Yates, J. R., Souza, I., & Vanderbilt, D. (2012) · Reviews of Modern Physics · doi:10.1103/revmodphys.84.1419 · Cited by 3,283
Self-citationClassification of topological quantum matter with symmetries
Chiu, C.-K., Teo, J. C. Y., Schnyder, A. P., & Ryu, S. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.035005 · Cited by 2,736
WannierTools: An open-source software package for novel topological materials
Wu, Q., Zhang, S., Song, H.-F., Troyer, M., & Soluyanov, A. A. (2018) · Computer Physics Communications · doi:10.1016/j.cpc.2017.09.033 · Cited by 2,724
Self-citationBradlyn, B., Elcoro, L., Cano, J., Vergniory, M. G., Wang, Z., Felser, C., Aroyo, M. I., & Bernevig, B. A. (2017) · Nature · doi:10.1038/nature23268 · Cited by 1,624
(d−2) -Dimensional Edge States of Rotation Symmetry Protected Topological States
Song, Z., Fang, Z., & Fang, C. (2017) · Physical Review Letters · doi:10.1103/physrevlett.119.246402 · Cited by 1,039
Metadata
- Authors
- Soluyanov, A. A., & Vanderbilt, D.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2011-01-13
- Volume
- 83
- Issue
- 3
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2074159413
- Cited by
- 445
- References
- 12
- FWCI
- 5.91
- Type
- journal article
- Language
- en
- Open access
- green
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