The DOI matches its Crossref record; 21 of the 21 references it cites were found in a registry or an index.
Chiral Luttinger liquid and the edge excitations in the fractional quantum Hall states
Abstract
The low-energy effective theory of the edge excitations in the fractional quantum Hall (FQH) states is derived. The edge excitations are shown to form a new kind of state which is called the chiral Luttinger liquid (\ensuremath{\chi}LL). The effective theory is exactly soluble. This enables us to easily calculate all the low-energy properties of the edge excitations. We calculate the electron propagator and the spectral function, which clearly demonstrate the non-Fermi-liquid behaviors of the \ensuremath{\chi}LL. We also calculate the interference effects between excitations on different edges. We demonstrate that the properties of the edge excitations are closely related to the properties of the FQH states on compacted spaces. Thus the properties of the edge excitations can be used to characterize the topological orders in the FQH states. We also show that the FQH states with filling fractions \ensuremath{\nu}\ensuremath{\ne}1/l must have at least two branches of edge excitations.
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Cites
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TOPOLOGICAL ORDERS IN RIGID STATES
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Self-citationExact Solution of a Many-Fermion System and Its Associated Boson Field
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Wen, X. G., & Niu, Q. (1990) · Physical Review B · doi:10.1103/physrevb.41.9377 · Cited by 938
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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-citationTwist defects and projective non-Abelian braiding statistics
Barkeshli, M., Jian, C.-M., & Qi, X.-L. (2013) · Physical Review B · doi:10.1103/physrevb.87.045130 · Cited by 275
Chiral spin liquid and emergent anyons in a Kagome lattice Mott insulator
Bauer, B., Cincio, L., Keller, B. P., Dolfi, M., Vidal, G., Trebst, S., & Ludwig, A. W. W. (2014) · Nature Communications · doi:10.1038/ncomms6137 · Cited by 269
Metadata
- Authors
- Wen, X. G.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1990-06-15
- Volume
- 41
- Issue
- 18
- Pages
- 12838-12844
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W2143174693
- Cited by
- 697
- References
- 21
- FWCI
- 7.51
- Type
- journal article
- Language
- en
- Open access
- closed
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