2 research outputs found
Finite-temperature relativistic Landau problem and the relativistic quantum Hall effect
This paper presents a study of the free energy and particle density of the
relativistic Landau problem, and their relevance to the quantum Hall effect. We
study first 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.Comment: Final version, to appear in Journal of Physics A: Mathematical and
Genera