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

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

1997-01-20

arxiv.org/abs/cond-mat/9701140v1

Physics

Condensed Matter

Statistical Mechanics

Latex file, 14 pages, 5 figures available on request

Scientific paper

10.1142/S0217984997000566

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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