Chern-Simons gauge theories for the fractional-quantum-Hall-effect hierarchy and anyon superconductivity
Journal Article
·
· Physical Review, B: Condensed Matter; (USA)
- Department of Physics, Tohoku University, Sendai, 980 Japan (JP)
- Department of Physics, Nishogakusha University, Ohi 2590, Shonan-machi (Japan)
It is shown that Chern-Simons gauge theories describe both the fractional-quantum-Hall-effect (FQHE) hierarchy and anyon superconductivity, simply by field-theoretically extracting the effects of vortex excitations. Vortices correspond to Laughlin's quasiparticles or bound states of anyons. Both of these phenomena are explained by the condensations of these vortices. We clarify why the anyon systems become incompressible (FQHE) or compressible (anyon superconductivity) depending on the statistics. It is to be emphasized that we can derive an effective Lagrangian describing fully the FQHE hierarchy from a basic Chern-Simons gauge theory.
- OSTI ID:
- 5619220
- Journal Information:
- Physical Review, B: Condensed Matter; (USA), Journal Name: Physical Review, B: Condensed Matter; (USA) Vol. 43:4; ISSN PRBMD; ISSN 0163-1829
- Country of Publication:
- United States
- Language:
- English
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