Anyon superconductivity and the fractional quantum Hall effect
- 21 August 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 63 (8), 903-906
- https://doi.org/10.1103/physrevlett.63.903
Abstract
We obtain a hierarchy of effective Hamiltonians which allow for a unified treatment of the fractional quantum Hall effect and a gas of fractional-statistics particles (anyons) in two dimensions. Anyon superconductivity is the analog of the fractional quantum Hall effect. For rational statistics parameter =P/Q with PQ even, Q anyons bind forming a charge Qe superfluid.
Keywords
This publication has 13 references indexed in Scilit:
- Correspondence between two-dimensional bosons and a bulk superconductor in a magnetic fieldPhysical Review B, 1989
- Effective-Field-Theory Model for the Fractional Quantum Hall EffectPhysical Review Letters, 1989
- Order Parameter and Ginzburg-Landau Theory for the Fractional Quantum Hall EffectPhysical Review Letters, 1989
- Superconducting Ground State of Noninteracting Particles Obeying Fractional StatisticsPhysical Review Letters, 1988
- Off-diagonal long-range order, oblique confinement, and the fractional quantum Hall effectPhysical Review Letters, 1987
- Statistical mechanics of anyonsNuclear Physics B, 1985
- Fractional Statistics and the Quantum Hall EffectPhysical Review Letters, 1984
- Statistics of Quasiparticles and the Hierarchy of Fractional Quantized Hall StatesPhysical Review Letters, 1984
- Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid StatesPhysical Review Letters, 1983
- Quantum Mechanics of Fractional-Spin ParticlesPhysical Review Letters, 1982