The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Gapless boundary excitations in the quantum Hall states and in the chiral spin states
Abstract
Using the gauge invariances, I show that the (fractional and integral) quantum Hall states and the chiral spin states must have gapless boundary excitations. The dynamical properties of those gapless excitations are studied. Under some general assumptions, the gapless excitations are shown to form a representation of the U(1) or SU(2) Kac-Moody algebras and to contribute to a specific heat with a linear temperature dependence. The low-energy effective theories for those gapless excitations are derived. The quantum numbers of the gapless boundary excitations are also discussed. In particular, the charge-zero sector of the low-lying boundary excitations in the fractional quantum Hall states are shown to be described by the charge-zero sector of free fermions with fractional charges.
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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
TOPOLOGICAL ORDERS IN RIGID STATES
WEN, X. G. (1990) · International Journal of Modern Physics B · doi:10.1142/s0217979290000139 · Cited by 1,115
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Cited by
Haldane, F. D. M., & Raghu, S. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.013904 · Cited by 2,787
Haldane, F. D. M., & Raghu, S. (2005) · arXiv · doi:10.48550/arxiv.cond-mat/0503588 · Cited by 2,739
Topological 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-citationChiral Luttinger liquid and the edge excitations in the fractional quantum Hall states
Wen, X. G. (1990) · Physical Review B · doi:10.1103/physrevb.41.12838 · Cited by 697
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Metadata
- Authors
- Wen, X. G.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1991-05-01
- Volume
- 43
- Issue
- 13
- Pages
- 11025-11036
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W2105583567
- Cited by
- 404
- References
- 3
- FWCI
- 9.14
- Type
- journal article
- Language
- en
- Open access
- closed
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- Wen, X. G. (1991). Gapless boundary excitations in the quantum Hall states and in the chiral spin states. Physical Review B. https://doi.org/10.1103/physrevb.43.11025
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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