Fractional charge and fractional statistics in the quantum Hall effects

Quasiparticles with fractional charge and fractional statistics are key features of the fractional quantum Hall effect. We discuss in detail the definitions of fractional charge and statistics and the ways in which these properties may be observed. In addition to theoretical foundations, we review t...

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Bibliographic Details
Published in:Reports on progress in physics 2021-07, Vol.84 (7), p.76501
Main Authors: Feldman, D E, Halperin, Bertrand I
Format: Article
Language:English
Subjects:
anyons
fractional charge
fractional statistics
quantum Hall effect
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Summary:Quasiparticles with fractional charge and fractional statistics are key features of the fractional quantum Hall effect. We discuss in detail the definitions of fractional charge and statistics and the ways in which these properties may be observed. In addition to theoretical foundations, we review the present status of the experiments in the area. We also discuss the notions of non-Abelian statistics and attempts to find experimental evidence for the existence of non-Abelian quasiparticles in certain quantum Hall systems.
ISSN:0034-4885
1361-6633
DOI:10.1088/1361-6633/ac03aa