Non-Abelian statistics in the fractional quantum Hall states

Journal Article · Mon Feb 11 00:00:00 EST 1991 · Physical Review Letters; (USA)

DOI:https://doi.org/10.1103/PhysRevLett.66.802· OSTI ID:5905837

Wen, X G ^[1]

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1. School of Natural Sciences, Institute of Advanced Study, Princeton, New Jersey 08540 (US)

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.

• DOE Contract Number: FG02-90ER40542
• OSTI ID: 5905837
• Journal Information: Physical Review Letters; (USA), Vol. 66:6; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ELECTRON GAS
HALL EFFECT
ELECTRON-ELECTRON INTERACTIONS
GAUGE INVARIANCE
GROUND STATES
HILBERT SPACE
MAGNETIC FIELDS
QUANTUM MECHANICS
QUASI PARTICLES
SPIN ORIENTATION
STATISTICAL MECHANICS
SYMMETRY BREAKING
TOPOLOGY
TWO-DIMENSIONAL CALCULATIONS
WAVE FUNCTIONS
BANACH SPACE
ENERGY LEVELS
FLUIDS
FUNCTIONS
GASES
INTERACTIONS
INVARIANCE PRINCIPLES
LEPTON-LEPTON INTERACTIONS
MATHEMATICAL SPACE
MATHEMATICS
MECHANICS
ORIENTATION
PARTICLE INTERACTIONS
SPACE
656000* - Condensed Matter Physics
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics