Thermal and Electrical Conductivities of a Three-Dimensional Ideal Anyon Gas with Fractional Exclusion Statistics

The thermal and electrical transport properties of an ideal anyon gas within fractional exclusion statistics are studied. By solving the Boltzmann equation with the relaxation-time approximation, the analytical expressions for the thermal and electrical conductivities of a three-dimensional ideal an...

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Bibliographic Details
Published in理论物理通讯：英文版 no. 7; pp. 81 - 85
Main Author 覃昉 文文 陈继胜
Format Journal Article
LanguageEnglish
Published 2014
Subjects
conductivity
electrical
exclusion
fractional
kinetic
statistics
theory
thermal
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Summary:The thermal and electrical transport properties of an ideal anyon gas within fractional exclusion statistics are studied. By solving the Boltzmann equation with the relaxation-time approximation, the analytical expressions for the thermal and electrical conductivities of a three-dimensional ideal anyon gas are given. The low-temperature expressions for the two conductivities are obtained by using the Sommerfeld expansion. It is found that the Wiedemann–Franz law should be modified by the higher-order temperature terms, which depend on the statistical parameter g for a charged anyon gas. Neglecting the higher-order terms of temperature, the Wiedemann–Franz law is respected, which gives the Lorenz number. The Lorenz number is a function of the statistical parameter g.
Bibliography:11-2592/O3
QIN Fang;WEN Wen;CHEN Ji-Sheng;School of Mathematics and Physics and Institute for Quantum Materials, Hubei Polytechnic University;Physics Department and Institute of Nanoscience and Nanotechnology, Central China Normal University;Department of Mathematics and Physics, Hohai University
ISSN:0253-6102