Fractional Statistics in Low-Dimensional Systems - Random-Phase Approximation for Anyons at Finite Temperatures
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The non-zero temperature theory for non-interacting anyon gas is developed within the random-phase approximation. It is proved that the phase transition superconducting normal state of anyons does not occur and the Meissner effect disappears at non-zero temperatures. The mutual correspondence of new Haldane theory of anyons and mean field treatment is found. A short overview of the fractional statistics theory is also given.
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