Landau Diamagnetism in Noncommutative Space and the Nonextensive Thermodynamics of Tsallis

Details Landau Diamagnetism in Noncommutative Space and the Nonextensive Thermodynamics of Tsallis Landau Diamagnetism in Noncommutative Space and the Nonextensive Thermodynamics of Tsallis

2001-03-27

arxiv.org/abs/cond-mat/0103562v2

Phys.Lett. A287 (2001) 349-355

Physics

Condensed Matter

Statistical Mechanics

Clarifications and new references. Version to appear in Phys.Lett. A

Scientific paper

10.1016/S0375-9601(01)00505-9

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.

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