Non-Abelian statistics in the fractional quantum Hall states

X. G. Wen
Phys. Rev. Lett. 66, 802 – Published 11 February 1991
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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.

  • Received 5 October 1990

DOI:https://doi.org/10.1103/PhysRevLett.66.802

©1991 American Physical Society

Authors & Affiliations

X. G. Wen

  • School of Natural Sciences, Institute of Advanced Study, Princeton, New Jersey 08540

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Issue

Vol. 66, Iss. 6 — 11 February 1991

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