Comment on the de Haas-van Alphen Effect and the Specific Heat of an Electron Gas,

Abstract : A model electron gas is studied in order to provide a microscopic justification of the Shoenberg conjecture that the harmonic content of the de Haas-van Alphen oscillations of the magnetization M can properly be explained by replacing the applied field H in the elementary expression for M(H) by the total induction B = H + M. The model contains a current-current interaction between the electrons; and it is shown that the unscreened, long range nature of this interaction leads to a term in the low temperature specific heat proportional to T ln T. For a gas with terrestrial densities the coefficient of this anomalous term is very small and probably beyond detection. (Author)