TY - JOUR

T1 - Nonrelativistic fermions in magnetic fields

T2 - A quantum field theory approach

AU - Espinosa, O.

AU - Gamboa, J.

AU - Lepe, S.

AU - Méndez, F.

N1 - Funding Information:
We would like to thank G.V. Dunne by pointed out several important references. This work was partially supported by grants Fondecyt 8000017 (P.L.C.), 1010596, 2990037, 3000005 and Dicyt-USACH. We would like also to thank to the referee by constructive critics.

PY - 2001/11/15

Y1 - 2001/11/15

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0346607238&partnerID=8YFLogxK

U2 - 10.1016/S0370-2693(01)01141-8

DO - 10.1016/S0370-2693(01)01141-8

M3 - Article

AN - SCOPUS:0346607238

SN - 0370-2693

VL - 520

SP - 421

EP - 426

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 3-4

ER -