NON-ABELIAN STATISTICS IN THE FRACTIONAL QUANTUM HALL STATES

被引：277

作者：

WEN, XG

机构：

[1] School of Natural Sciences, Institute of Advanced Study, Princeton

来源：

PHYSICAL REVIEW LETTERS | 1991年 / 66卷 / 06期

关键词：

D O I：

10.1103/PhysRevLett.66.802

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 kind of small perturbations.

引用

页码：802 / 805

页数：4

共 31 条

[1] UNIVERSAL TERM IN THE FREE-ENERGY AT A CRITICAL-POINT AND THE CONFORMAL ANOMALY [J].

AFFLECK, I .

PHYSICAL REVIEW LETTERS, 1986, 56 (07) :746-748

[2] SU(2) GAUGE-SYMMETRY OF THE LARGE-U LIMIT OF THE HUBBARD-MODEL [J].

AFFLECK, I ;

ZOU, Z ;

HSU, T ;

ANDERSON, PW .

PHYSICAL REVIEW B, 1988, 38 (01) :745-747

[3] EXACT CRITICAL EXPONENTS FOR QUANTUM SPIN CHAINS, NONLINEAR SIGMA-MODELS AT THETA=PI AND THE QUANTUM HALL-EFFECT [J].

AFFLECK, I .

NUCLEAR PHYSICS B, 1986, 265 (03) :409-447

[4] EFFECTIVE THEORIES OF THE FRACTIONAL QUANTUM HALL-EFFECT - HIERARCHY CONSTRUCTION [J].

BLOK, B ;

WEN, XG .

PHYSICAL REVIEW B, 1990, 42 (13) :8145-8156

[5] EFFECTIVE THEORIES OF THE FRACTIONAL QUANTUM HALL-EFFECT AT GENERIC FILLING FRACTIONS [J].

BLOK, B ;

WEN, XG .

PHYSICAL REVIEW B, 1990, 42 (13) :8133-8144

[6]

BLOK B, IASSNSHEP9066 I ADV

[7] SU(2) GAUGE-INVARIANCE AND ORDER PARAMETERS IN STRONGLY COUPLED ELECTRONIC SYSTEMS [J].

DAGOTTO, E ;

FRADKIN, E ;

MOREO, A .

PHYSICAL REVIEW B, 1988, 38 (04) :2926-2929

[8] STRING THEORY ON GROUP-MANIFOLDS [J].

GEPNER, D ;

WITTEN, E .

NUCLEAR PHYSICS B, 1986, 278 (03) :493-549

[9]

Goddard P., 1986, INT J MOD PHYS A, V1, P303, DOI [10.1142/S0217751X86000149, DOI 10.1142/S0217751X86000149]

[10] FRACTIONAL QUANTIZATION OF THE HALL-EFFECT - A HIERARCHY OF INCOMPRESSIBLE QUANTUM FLUID STATES [J].

HALDANE, FDM .

PHYSICAL REVIEW LETTERS, 1983, 51 (07) :605-608

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