The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Non-Abelian statistics in the fractional quantum Hall states
Abstract
The fractional quantum Hall states with non-Abelian statistics are studied. Those states are shown to be characterized by non-Abelian topological orders and are identified with some of the Jain states. The gapless edge states are found to be described by non-Abelian Kac-Moody algebras. It is argued that the topological orders and the associated properties are robust against any kinds of small perturbations.
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Citations
Cites
Quantum field theory and the Jones polynomial
Witten, E. (1989) · Communications in Mathematical Physics · doi:10.1007/bf01217730 · Cited by 4,758
Halperin, B. I. (1982) · Physical Review B · doi:10.1103/physrevb.25.2185 · Cited by 2,547
Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States
Haldane, F. D. M. (1983) · Physical Review Letters · doi:10.1103/physrevlett.51.605 · Cited by 2,210
TOPOLOGICAL ORDERS IN RIGID STATES
WEN, X. G. (1990) · International Journal of Modern Physics B · doi:10.1142/s0217979290000139 · Cited by 1,115
Self-citation
Cited by
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
Symmetry protected topological orders and the group cohomology of their symmetry group
Chen, X., Gu, Z.-C., Liu, Z.-X., & Wen, X.-G. (2013) · Physical Review B · doi:10.1103/physrevb.87.155114 · Cited by 1,311
Self-citationTopological orders and edge excitations in fractional quantum Hall states
Wen, X.-G. (1995) · Advances in Physics · doi:10.1080/00018739500101566 · Cited by 1,060
Self-citationChen, X., Gu, Z.-C., & Wen, X.-G. (2010) · Physical Review B · doi:10.1103/physrevb.82.155138 · Cited by 891
Self-citationQuasi-Particle Properties from Tunneling in the v = 5/2 Fractional Quantum Hall State
Radu, I. P., Miller, J. B., Marcus, C. M., Kastner, M. A., Pfeiffer, L. N., & West, K. W. (2008) · Science · doi:10.1126/science.1157560 · Cited by 324
Metadata
- Authors
- Wen, X. G.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1991-02-11
- Volume
- 66
- Issue
- 6
- Pages
- 802-805
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2098821324
- Cited by
- 402
- References
- 4
- FWCI
- 5.25
- Type
- journal article
- Language
- en
- Open access
- closed
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- Wen, X. G. (1991). Non-Abelian statistics in the fractional quantum Hall states. Physical Review Letters. https://doi.org/10.1103/physrevlett.66.802
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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.
