Exactness of anyon superconductivity and its finite-temperature behavior

Journal Article · Fri Jun 01 04:00:00 EDT 1990 · Physical Review, B: Condensed Matter; (USA)

DOI:https://doi.org/10.1103/PhysRevB.41.11101· OSTI ID:6803150

Kitazawa, Y; Murayama, H ^[1]

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1. Department of Physics, University of Tokyo, Bunkyo-ku, Tokyo 113, Japan (JP)

We study anyon systems that obey 1/{ital n} fractional statistics for fixed number density {rho} and mass {ital m}. We prove rigorously that in the high-temperature regime there is no long-range correlation above {ital T}{similar to}(2{pi}/ln2)({h bar}{sup 2}{rho}/{ital m}). At zero temperature we study the exactness and the stability of anyon superconductivity in connection with the integer quantized Hall effect. We also study the topological excitations of the anyon systems and show the exact magnetic flux quantization in units of {ital hc}/{ital ne}. We have found that the anyon systems undergo a Kosterlitz-Thouless transition at {ital T}{similar to}({pi}/2)({h bar}{sup 2}{rho}/{ital mn}{sup 2}).

• OSTI ID: 6803150
• Journal Information: Physical Review, B: Condensed Matter; (USA), Journal Name: Physical Review, B: Condensed Matter; (USA) Vol. 41:16; 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
CORRELATION FUNCTIONS
FUNCTIONS
HALL EFFECT
MAGNETIC FLUX
PHASE TRANSFORMATIONS
SUPERCONDUCTORS
TEMPERATURE DEPENDENCE