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THEORY OF THE EDGE STATES IN FRACTIONAL QUANTUM HALL EFFECTS
Abstract
The dynamical theory of the edge excitations of generic fractional quantum Hall (FQH) states is summarized and expanded. The low energy effective theory of the edge excitations for the most general abelian FQH states (including spin-unpolarized and multi-layer FQH states) and some non-abelian FQH states is derived using several different methods. The propagators of the electrons and the quasiparticles are calculated for the above FQH states. The microscopic theory of the edge excitations for the Laughlin states is also presented. Some simple applications of the edge theory to the transport properties of the FQH states are discussed. In particular, the tunneling between edge states is shown to be a powerful tool to probe the internal topological orders in the FQH states. It can be used to distinguish different FQH states with the same filling fraction and to detect the non-abelian FQH states in experiments.
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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
Classification of topological insulators and superconductors in three spatial dimensions
Schnyder, A. P., Ryu, S., Furusaki, A., & Ludwig, A. W. W. (2008) · Physical Review B · doi:10.1103/physrevb.78.195125 · Cited by 3,322
Electronic properties of disordered two-dimensional carbon
Peres, N. M. R., Guinea, F., & Castro Neto, A. H. (2006) · Physical Review B · doi:10.1103/physrevb.73.125411 · Cited by 1,445
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
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Metadata
- Authors
- WEN, X.-G.
- Venue
- International Journal of Modern Physics B
- Publisher
- World Scientific Pub Co Pte Lt
- Published
- 1992-05-20
- Volume
- 06
- Issue
- 10
- Pages
- 1711-1762
- ISSN
- 0217-9792 (ISSN-L)
- 1793-6578
- OpenAlex
- W2060078445
- Cited by
- 836
- References
- 0
- FWCI
- 13.57
- Type
- journal article
- Language
- en
- Open access
- closed
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- WEN, X.-G. (1992). THEORY OF THE EDGE STATES IN FRACTIONAL QUANTUM HALL EFFECTS. International Journal of Modern Physics B. https://doi.org/10.1142/s0217979292000840
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