摘要
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.
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.
基金
Supported by the Excellent Doctorial Dissertation Cultivation Grant from Central China Normal University under Grant No.2013YBYB44
the Guidance Project of Education Department of Hubei Province under Grant No.B2014024
the Scientific and Technological Research Program of Education Department of Hubei Province under Grant Nos.Q20123004 and Q20134401
the Greative Teamof Hubei Polytechnic University under Grant No.13xtz05
the National Natural Science Foundation of China under Grant Nos.11105039,11275082,11178001,and 51302074
