Nonrelativistic fermions in magnetic fields: A quantum field theory approach

O. Espinosa, J. Gamboa, S. Lepe, F. Méndez

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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 is compatible with the all reasonable regularization procedures. 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.

Original languageEnglish
Pages (from-to)421-426
Number of pages6
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number3-4
StatePublished - 15 Nov 2001


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