The DOI matches its Crossref record; 32 of the 32 references it cites were found in a registry or an index.
Braiding statistics approach to symmetry-protected topological phases
Open accessAbstract
We construct a two-dimensional (2D) quantum spin model that realizes an Ising paramagnet with gapless edge modes protected by Ising symmetry. This model provides an example of a ``symmetry-protected topological phase.'' We describe a simple physical construction that distinguishes this system from a conventional paramagnet: We couple the system to a ${\mathbb{Z}}_{2}$ gauge field and then show that the $\ensuremath{\pi}$-flux excitations have different braiding statistics from that of a usual paramagnet. In addition, we show that these braiding statistics directly imply the existence of protected edge modes. Finally, we analyze a particular microscopic model for the edge and derive a field theoretic description of the low energy excitations. We believe that the braiding statistics approach outlined in this paper can be generalized to a large class of symmetry-protected topological phases.
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Cites
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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
Symmetry fractionalization, defects, and gauging of topological phases
Barkeshli, M., Bonderson, P., Cheng, M., & Wang, Z. (2019) · Physical Review B · doi:10.1103/physrevb.100.115147 · Cited by 533
Prethermal Phases of Matter Protected by Time-Translation Symmetry
Else, D. V., Bauer, B., & Nayak, C. (2017) · Physical Review X · doi:10.1103/physrevx.7.011026 · Cited by 283
Classification of Interacting Electronic Topological Insulators in Three Dimensions
Wang, C., Potter, A. C., & Senthil, T. (2014) · Science · doi:10.1126/science.1243326 · Cited by 253
Beyond Band Insulators: Topology of Semimetals and Interacting Phases
Turner, A. M., & Vishwanath, A. (2013) · Contemporary Concepts of Condensed Matter Science · doi:10.1016/b978-0-444-63314-9.00011-1 · Cited by 164
Metadata
- Authors
- Levin, M., & Gu, Z.-C.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2012-09-10
- Volume
- 86
- Issue
- 11
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2104740527
- Cited by
- 580
- References
- 32
- FWCI
- 17.78
- Type
- journal article
- Language
- en
- Open access
- green
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
