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), Vol. 43:4; ISSN 0163-1829
- Country of Publication:
- United States
- Language:
- English
Similar Records
Density functional theory and the Chern-Simons field approach to the fractional quantum Hall effect
The Chern-Simons-Landau-Ginzburg theory of the fractional quantum Hall effect
Bosonic Chern-Simons field theory of anyon superconductivity
Journal Article
·
Mon Aug 10 00:00:00 EDT 1992
· Modern Physics Letters B; (Singapore)
·
OSTI ID:5619220
The Chern-Simons-Landau-Ginzburg theory of the fractional quantum Hall effect
Journal Article
·
Sun Mar 01 00:00:00 EST 1992
· International Journal of Modern Physics B; (United States)
·
OSTI ID:5619220
Bosonic Chern-Simons field theory of anyon superconductivity
Journal Article
·
Mon Sep 14 00:00:00 EDT 1992
· Modern Physics Letters A; (Singapore)
·
OSTI ID:5619220