Abstract

A theoretical explanation is provided to understand the effect of impurity on the electron-phonon interaction in some alloyed Heavy Fermion (HF) systems in the normal state on the basis of Periodic Anderson Model (PAM). Two different mechanisms of the electron-phonon interaction, namely, the usual interaction between the Phonons with both the f-electrons as well as with the hybridization of conduction and f-electrons are considered. It is assumed that the impurities perturb the host crystal because of the difference in mass, the change in nearest neighbor force constant and the local modification of the electron-phonon interaction. The phonon self-energy due to these perturbations is calculated to the lowest order of the impurity concentration. The phonon response functions are evaluated for all wave vector q and temperature T in the mean field approximation. To avoid complications numerical evaluations are made for long wave length in the static limit. The influence of impurity mass parameter on other system parameters like position of f-level, the effective coupling strength on calculated phonon frequency is studied.

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