Anyon superconductivity and the fractional quantum Hall effect

Journal Article · Mon Aug 21 04:00:00 EDT 1989 · Physical Review Letters; (USA)

DOI:https://doi.org/10.1103/PhysRevLett.63.903· OSTI ID:5464838

Lee, D; Fisher, M P.A. ^[1]

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1. IBM Research Division, Thomas J. Watson Research Center, Yorktown Heights, New York 10598 (US)

We obtain a hierarchy of effective Hamiltonians which allow for a unified treatment of the fractional quantum Hall effect and a gas of fractional-statistics particles (anyons) in two dimensions. Anyon superconductivity is the analog of the fractional quantum Hall effect. For rational statistics parameter {alpha}{sub {ital s}}=P/Q with {ital PQ} even, {ital Q} anyons bind forming a charge {ital Qe} superfluid.

• OSTI ID: 5464838
• Journal Information: Physical Review Letters; (USA), Journal Name: Physical Review Letters; (USA) Vol. 63:8; ISSN PRLTA; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

656100* -- Condensed Matter Physics-- Superconductivity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOSONS
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
FLUIDS
GASES
HALL EFFECT
HAMILTONIANS
MATHEMATICAL OPERATORS
MATHEMATICS
MECHANICS
PARTICLES
PHYSICAL PROPERTIES
QUANTUM MECHANICS
QUANTUM OPERATORS
STATISTICS
SUPERCONDUCTIVITY
TRANSFORMATIONS
TWO-DIMENSIONAL CALCULATIONS