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Relativistic Landau problem at finite temperature

2005/11/09 by C G Beneventano, C. G. Beneventano, E. M. Santangelo · 2 citations
Physics and Astronomy · #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #hep-th

paper · pdf · doi:10.1088/0305-4470/39/21/s04

published as J.Phys. A39 (2006) 6137-6144 · Talk given at the Seventh International Workshop Quantum Field Theory under the influence of External Conditions, QFEXT'05, Barcelona, Spain

arxiv created 2005/11/09 · openalex publication_date 2006/05/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

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 the Hall conductivity in the case of crossed electric and magnetic fields.

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