Title

Fractional Statistics - Alpha To Beta

Authors

Authors

G. S. Canright;M. D. Johnson

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

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

Share

COinS