The DOI matches its Crossref record; 136 of the 136 references it cites were found in a registry or an index.
Symmetry fractionalization, defects, and gauging of topological phases
Open accessAbstract
This paper develops a comprehensive theory of symmetry fractionalization together with the properties of symmetry defects in topologically ordered phases of matter in two spatial dimensions. To do this, the authors also introduce the full set of data, consistency conditions, and equivalences for a mathematical theory, known as a G-crossed braided tensor category, that characterizes the algebraic braiding and fusion properties of symmetry defects. This theoretical framework can completely characterize and classify symmetry-enriched topological phases of matter in the presence of arbitrarily strong interactions in quantum many-body systems in two spatial dimensions.
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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
Topological insulators and superconductors
Qi, X.-L., & Zhang, S.-C. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1057 · Cited by 14,394
Quantum Spin Hall Effect in Graphene
Kane, C. L., & Mele, E. J. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.226801 · Cited by 8,197
Fault-tolerant quantum computation by anyons
Kitaev, A. Y. (2003) · Annals of Physics · doi:10.1016/s0003-4916(02)00018-0 · Cited by 7,238
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
Bernevig, B. A., Hughes, T. L., & Zhang, S.-C. (2006) · Science · doi:10.1126/science.1133734 · Cited by 7,090
Non-Abelian anyons and topological quantum computation
Nayak, C., Simon, S. H., Stern, A., Freedman, M., & Das Sarma, S. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1083 · Cited by 6,861
Z 2 Topological Order and the Quantum Spin Hall Effect
Kane, C. L., & Mele, E. J. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.146802 · Cited by 6,460
Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
Laughlin, R. B. (1983) · Physical Review Letters · doi:10.1103/physrevlett.50.1395 · Cited by 5,749
Anyons in an exactly solved model and beyond
Kitaev, A. (2006) · Annals of Physics · doi:10.1016/j.aop.2005.10.005 · Cited by 5,245
Unpaired Majorana fermions in quantum wires
Kitaev, A. Y. (2001) · Physics-Uspekhi · doi:10.1070/1063-7869/44/10s/s29 · Cited by 4,770
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
Exploring 2-group global symmetries
Córdova, C., Dumitrescu, T. T., & Intriligator, K. (2019) · Journal of High Energy Physics · doi:10.1007/jhep02(2019)184 · Cited by 348
Measurement as a Shortcut to Long-Range Entangled Quantum Matter
Lu, T.-C., Lessa, L. A., Kim, I. H., & Hsieh, T. H. (2022) · PRX Quantum · doi:10.1103/prxquantum.3.040337 · Cited by 115
Non-Abelian braiding of graph vertices in a superconducting processor
Collaborators, G. Q. A. A., Andersen, T. I., Lensky, Y. D., Kechedzhi, K., Drozdov, I. K., Bengtsson, A., Hong, S., Morvan, A., Mi, X., Opremcak, A., et al. (2023) · Nature · doi:10.1038/s41586-023-05954-4 · Cited by 108
Low-overhead quantum computing with the color code
Thomsen, F., Kesselring, M. S., Bartlett, S. D., & Brown, B. J. (2024) · Physical Review Research · doi:10.1103/physrevresearch.6.043125 · Cited by 15
Metadata
- Authors
- Barkeshli, M., Bonderson, P., Cheng, M., & Wang, Z.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2019-09-20
- Volume
- 100
- Issue
- 11
- ISSN
- 2469-9950 (ISSN-L)
- 2469-9969
- OpenAlex
- W2974009797
- Cited by
- 533
- References
- 136
- FWCI
- 21.45
- Type
- journal article
- Language
- en
- Open access
- hybrid
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- Barkeshli, M., Bonderson, P., Cheng, M., & Wang, Z. (2019). Symmetry fractionalization, defects, and gauging of topological phases. Physical Review B. https://doi.org/10.1103/physrevb.100.115147
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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.
