The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Entanglement and inversion symmetry in topological insulators
Abstract
Topological band insulators are usually characterized by symmetry-protected surface modes or quantized linear-response functions (like Hall conductance). Here we present a way to characterize them based on certain bulk properties of just the ground-state wave function, specifically, the properties of its entanglement spectrum. We prove that whenever protected surface states exist, a corresponding protected ``mode'' exists in the entanglement spectrum as well. Besides this, the entanglement spectrum sometimes succeeds better at indicating topological phases than surface states. We discuss specifically the example of insulators with inversion symmetry which is found to act as an antiunitary symmetry on the entanglement spectrum. A Kramers degeneracy can then arise even when time-reversal symmetry is absent. This degeneracy persists for interacting systems. The entanglement spectrum is therefore a promising tool to characterize topological band insulators and superconductors beyond the free-particle approximation.
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Citations
Cites
Colloquium : Topological insulators
Hasan, M. Z., & Kane, C. L. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.3045 · Cited by 19,930
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Cited by
Classification 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
Topological crystalline insulators in the SnTe material class
Hsieh, T. H., Lin, H., Liu, J., Duan, W., Bansil, A., & Fu, L. (2012) · Nature Communications · doi:10.1038/ncomms1969 · Cited by 1,449
Benalcazar, W. A., Bernevig, B. A., & Hughes, T. L. (2017) · Physical Review B · doi:10.1103/physrevb.96.245115 · Cited by 1,389
(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
Quantum entanglement in condensed matter systems
Laflorencie, N. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.06.008 · Cited by 765
Metadata
- Authors
- Turner, A. M., Zhang, Y., & Vishwanath, A.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2010-12-13
- Volume
- 82
- Issue
- 24
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2046204756
- Cited by
- 269
- References
- 11
- FWCI
- 9.31
- Type
- journal article
- Language
- en
- Open access
- closed
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