Landau Diamagnetism in Noncommutative Space and the Nonextensive Thermodynamics of Tsallis
arXiv:cond-mat/0103562 · doi:10.1016/S0375-9601(01)00505-9
Abstract
We consider the behavior of electrons in an external uniform magnetic field B where the space coordinates perpendicular to B are taken as noncommuting. This results in a generalization of standard thermodynamics. Calculating the susceptibility, we find that the usual Landau diamagnetism is modified. We also compute the susceptibility according to the nonextensive statistics of Tsallis for (1-q)<<1, in terms of the factorization approach. Two methods agree under certain conditions.
Clarifications and new references. Version to appear in Phys.Lett. A
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