The DOI matches its Crossref record; 27 of the 27 references it cites were found in a registry or an index.
Symmetry-Protected Topological Orders in Interacting Bosonic Systems
Open accessAbstract
Symmetry Semantics: Topological insulators (TIs) are characterized by boundary states that are protected by time-reversal symmetry. A systematic study of this, and other symmetry-protected states, is possible in noninteracting systems, but complications arise when interactions are present. Chen et al. (p. 1604 ; see the Perspective by Qi ) used group cohomology theory to predict symmetry-protected phases of interacting bosons. The analysis enabled the generalization of a known result in one dimension by using a path-integral formulation and suggests the existence of three counterparts of TIs in three dimensions, and one in two dimensions, as well as phases protected by other symmetries. The formalism is applicable to any symmetry group and dimension and is valid for interactions of arbitrary strength.
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Cites
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Cited by
Lu, L., Joannopoulos, J. D., & Soljačić, M. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.248 · Cited by 3,655
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
Observation of a symmetry-protected topological phase of interacting bosons with Rydberg atoms
de Léséleuc, S., Lienhard, V., Scholl, P., Barredo, D., Weber, S., Lang, N., Büchler, H. P., Lahaye, T., & Browaeys, A. (2019) · Science · doi:10.1126/science.aav9105 · Cited by 543
Interacting topological insulators: a review
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Efficient representation of quantum many-body states with deep neural networks
Gao, X., & Duan, L.-M. (2017) · Nature Communications · doi:10.1038/s41467-017-00705-2 · Cited by 346
Metadata
- Authors
- Chen, X., Gu, Z.-C., Liu, Z.-X., & Wen, X.-G.
- Venue
- Science
- Published
- 2012-12-21
- Volume
- 338
- Issue
- 6114
- Pages
- 1604-1606
- ISSN
- 0036-8075 (ISSN-L)
- 1095-9203
- OpenAlex
- W2093737252
- Cited by
- 640
- References
- 27
- FWCI
- 22.10
- Type
- journal article
- Language
- en
- Open access
- green
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