Non-Abelian statistics in the fractional quantum Hall states
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.
- Publication:
-
Physical Review Letters
- Pub Date:
- February 1991
- DOI:
- 10.1103/PhysRevLett.66.802
- Bibcode:
- 1991PhRvL..66..802W
- Keywords:
-
- 73.20.Dx;
- 05.30.-d;
- Quantum statistical mechanics