Relativistic Landau problem at finite temperature

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Talk given at the Seventh International Workshop Quantum Field Theory under the influence of External Conditions, QFEXT'05, Ba

Scientific paper

10.1088/0305-4470/39/21/S04

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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