Effective action of a 2+1 dimensional system of nonrelativistic fermions in the presence of a uniform magnetic field: dissipation effects
Abstract
The effective action of nonrelativistic fermions in 2+1 dimensions is analyzed at finite temperature and chemical potential in the presence of a uniform magnetic field perpendicular to the plane. The method used is a generalization of the derivative expansion technique. The induced Chern-Simons term is computed and shown to exhibit the Hall quantization. Effects of dissipation due to collisions are also analyzed.
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