Non-Abelian statistics in the fractional quantum Hall states
- 11 February 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 66 (6) , 802-805
- https://doi.org/10.1103/physrevlett.66.802
Abstract
The fractional quantum Hall states with non-Abelian statistics are studied. Those states are shown to be characterized by non-Abelian topological orders and are identified with some of the Jain states. The gapless edge states are found to be described by non-Abelian Kac-Moody algebras. It is argued that the topological orders and the associated properties are robust against any kinds of small perturbations.Keywords
This publication has 22 references indexed in Scilit:
- Effective theories of the fractional quantum Hall effect at generic filling fractionsPhysical Review B, 1990
- Effective theories of the fractional quantum Hall effect: Hierarchy constructionPhysical Review B, 1990
- Excitation structure of the hierarchy scheme in the fractional quantum Hall effectPhysical Review Letters, 1990
- Incompressible quantum Hall statesPhysical Review B, 1989
- Vacuum degeneracy of chiral spin states in compactified spacePhysical Review B, 1989
- Quantum field theory and the Jones polynomialCommunications in Mathematical Physics, 1989
- SU(2) gauge invariance and order parameters in strongly coupled electronic systemsPhysical Review B, 1988
- SU(2) gauge symmetry of the large-limit of the Hubbard modelPhysical Review B, 1988
- Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid StatesPhysical Review Letters, 1983
- Quantized Hall conductance, current-carrying edge states, and the existence of extended states in a two-dimensional disordered potentialPhysical Review B, 1982