Nonrelativistic Fermions in Magnetic Fields: a Quantum Field Theory Approach

Details Nonrelativistic Fermions in Magnetic Fields: a Quantum Field Theory Approach Nonrelativistic Fermions in Magnetic Fields: a Quantum Field Theory Approach

2001-08-04

arxiv.org/abs/hep-th/0108022v3

Phys.Lett. B520 (2001) 421-426

Physics

High Energy Physics

High Energy Physics - Theory

typos corrected

Scientific paper

10.1016/S0370-2693(01)01141-8

The statistical mechanics of nonrelativistic fermions in a constant magnetic field is considered from the quantum field theory point of view. The fermionic determinant is computed using a general procedure that contains all possible regularizations. The nonrelativistic grand-potential can be expressed in terms polylogarithm functions, whereas the partition function in 2+1 dimensions and vanishing chemical potential can be compactly written in terms of the Dedekind eta function. The strong and weak magnetic fields limits are easily studied in the latter case by using the duality properties of the Dedekind function.

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