Anyon superconductivity at rational statistics

Journal Article · Mon Jul 01 04:00:00 EDT 1991 · Physical Review, B: Condensed Matter; (USA)

DOI:https://doi.org/10.1103/PhysRevB.44.929· OSTI ID:5724516

Gaitonde, D M; Rao, S ^[1]

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1. Institute of Physics, Bhubaneswar, 751 005 India (IN)

We study the anyon gas with repulsive interactions at {theta}={pi}(1{minus}1/{nu}), where {nu} is a fractional-quantum-Hall-effect filling fraction, using Jain's composite-fermion and decomposition-of-fermion techniques. In the first case, the anyon gas forms a superconducting state, which, however, is the same as the state that occurs at {nu}={ital m}, where {ital m} is an integer, with no repulsive interactions. In the second approach, the anyon gas forms correlated states that are superconducting at {nu}{sup {minus}1}={Sigma}{sup {ital p}}{sub {ital I}}=1/{ital m}{sub {ital I}}, with {ital p} an odd integer and {ital m}{sub {ital I}} an integer.

• OSTI ID: 5724516
• Journal Information: Physical Review, B: Condensed Matter; (USA), Journal Name: Physical Review, B: Condensed Matter; (USA) Vol. 44:2; ISSN PRBMD; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

656100* -- Condensed Matter Physics-- Superconductivity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ENERGY LEVELS
FERMIONS
GROUND STATES
HALL EFFECT
INTERACTIONS
MAGNETIC FLUX
QUASI PARTICLES
SUPERCONDUCTORS