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

By Choon-lin Ho and Man-jui Liao


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. 1

Year: 1997
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