Effective theories of the fractional quantum Hall effect at generic filling fractions

Journal Article · Thu Nov 01 04:00:00 EST 1990 · Physical Review, B: Condensed Matter; (USA)

DOI:https://doi.org/10.1103/PhysRevB.42.8133· OSTI ID:6253064

Blok, B; Wen, X G ^[1]

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1. Institute for Advanced Study, Princeton, NJ (USA)

We propose effective theories that describe the fractional quantum Hall effect (FQHE) states for the generic filling fractions {nu}=1/ {summation}{sub {ital I}} (1/{ital m}{sub {ital I}}) where {ital m}{sub {ital I}} are integers. The theories describe the microscopic FQHE states proposed by Jain. We calculate charges and statistics of quasiparticles in these states. The structure of the edge states is derived directly from the underlying effective theory in the bulk. Our results are shown to be consistent with those obtained from the microscopic theory.

• DOE Contract Number: FG02-90ER40542
• OSTI ID: 6253064
• Journal Information: Physical Review, B: Condensed Matter; (USA), Journal Name: Physical Review, B: Condensed Matter; (USA) Vol. 42:13; ISSN 0163-1829; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

656002* -- Condensed Matter Physics-- General Techniques in Condensed Matter-- (1987-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ELECTRONIC STRUCTURE
GINZBURG-LANDAU THEORY
HALL EFFECT
MATHEMATICAL MODELS
QUANTIZATION
QUANTUM NUMBERS
QUASI PARTICLES
SCALING LAWS
SOLIDS