Fractional Statistics - Alpha To Beta

    Authors

    G. S. Canright;M. D. Johnson

    Comments

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    Abbreviated Journal Title

    J. Phys. A-Math. Gen.

    Keywords

    TIME-REVERSAL-SYMMETRY; HIGH-TC SUPERCONDUCTORS; OPTICAL-ROTATION; EXPERIMENTS; NONRECIPROCAL CIRCULAR BIREFRINGENCE; HIGH-TEMPERATURE; SUPERCONDUCTORS; INCOMPRESSIBLE QUANTUM FLUID; RESONATING-VALENCE-BOND; LOCAL MAGNETIC-FIELDS; RESISTANCE FLUCTUATIONS; CUPRATE SUPERCONDUCTORS; Physics, Multidisciplinary; Physics, Mathematical

    Abstract

    We review the problem of fractional statistics as it applies to two current areas of interest in condensed-matter physics: the fractional quantum Hall effect (FQHE), and high-temperature superconductors (HTSC). In the case of the former, we emphasize Haldane's recent definition of a fractional exclusion principle, and show a relation between this idea and the standard definition of fractional statistics in terms of a complex exchange phase. We show that a fractional exclusion principle is both appropriate and useful for the quasiparticles in the FQHE. In the case of the HTSC (Where Haldane's novel definition has not been pursued), we review the experimental status of the 'anyon superconductivity' model for the HTSC. Here we find much less support for the hypothesis that the excitations are anyons. We also argue that the past neglect of Haldane's fractional exclusion principle makes the resulting theory inconsistent.

    Journal Title

    Journal of Physics a-Mathematical and General

    Volume

    27

    Issue/Number

    11

    Publication Date

    1-1-1994

    Document Type

    Review

    Language

    English

    First Page

    3579

    Last Page

    3598

    WOS Identifier

    WOS:A1994NR77600009

    ISSN

    0305-4470

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