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Phys. Rev. Lett. 66, 802–805 (1991)

Non-Abelian statistics in the fractional quantum Hall states

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X. G. Wen
School of Natural Sciences, Institute of Advanced Study, Princeton, New Jersey 08540

Received 5 October 1990; published in the issue dated 11 February 1991

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.

© 1991 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.66.802
DOI:
10.1103/PhysRevLett.66.802
PACS:
73.20.Dx, 05.30.-d