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arXiv · hep-th/0201203

Second Virial Coefficient for Noncommutative Space

Ahmed Jellal·Hendrik B. Geyer
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Abstract

The second virial coefficient $B_{2}^{nc}(T)$ for non-interacting particles moving in a two-dimensional noncommutative space and in the presence of a uniform magnetic field $\vec B$ is presented. The noncommutativity parameter $\te$ can be chosen such that the $B_{2}^{nc}(T)$ can be interpreted as the second virial coefficient for anyons of statistics $\al$ in the presence of $\vec B$ and living on the commuting plane. In particular in the high temperature limit $\be\lga 0$, we establish a relation between the parameter $\te$ and the statistics $\al$. Moreover, $B_{2}^{nc}(T)$ can also be interpreted in terms of composite fermions.

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Ahmed Jellal, Hendrik B. Geyer. 2003-02-06. Second Virial Coefficient for Noncommutative Space. https://doi.org/10.1142/s0217732303009964

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