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Theory of electron-phonon interaction effects on the spin susceptibility of conduction electrons

A theory of the spin susceptibility of conduction electrons is derived using a temperature Green function formalism in the presence of an electron-phonon interaction. It has been shown that the modifications to the spin susceptibility brought about by considering the magnetic field dependence of the electron self-energy are cancelled by the mass enhancement due to the electron-phonon interaction. However, by considering both the electron-electron and electron-phonon interactions the authors show that the exchange enhancement parameter ( alpha ) due to the electron-electron interaction changes to alpha (1+ gamma )-1 where gamma is the electron-phonon mass enhancement parameter. In view of the present controversy concerning the role of the electron-phonon interaction in the magnetism of solids, their work is expected to pave the way for a better quantitative understanding of the effect.