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arXiv · hep-th/0511108

Relativistic Landau problem at finite temperature

C. G. Beneventano·E. M. Santangelo
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Abstract

We study the zero temperature Casimir energy and fermion number for Dirac fields in a 2+1-dimensional Minkowski space-time, in the presence of a uniform magnetic field perpendicular to the spatial manifold. Then, we go to the finite-temperature problem with a chemical potential, introduced as a uniform zero component of the gauge potential. By performing a Lorentz boost, we obtain Hall's conductivity in the case of crossed electric and magnetic fields.

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C. G. Beneventano, E. M. Santangelo. 2005-11-09. Relativistic Landau problem at finite temperature. https://doi.org/10.1088/0305-4470%2F39%2F21%2Fs04

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