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Two-dimensional gases of generalized statistics in a uniform magnetic field

C. -L. Ho·M. -J. Liao
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Abstract

We study the low temperature properties of two-dimensional ideal gases of generalized statistics in a uniform magnetic field. The generalized statistics considered here are the parafermion statistics and the exclusion statistics. Similarity in the behaviours of the parafermion gas of finite order $p$ and the gas with exclusion coefficient $g=1/p$ at very low temperatures is noted. These two systems become exactly equivalent at $T=0$. Qumtum Hall effect with these particles as charge carriers is briefly discussed.

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C. -L. Ho, M. -J. Liao. 1997-01-20. Two-dimensional gases of generalized statistics in a uniform magnetic field. https://doi.org/10.1142/s0217984997000566

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