Influence of electron-phonon interaction to the periodic Anderson lattice

Abstract

In heavy fermion compounds, the hybridization effect between the conduction and localized f-orbital electrons gives rise to a breathing phonon mode. This breathing mode couples with the conduction electrons and renormalizes the conduction bandwidth. Using the perturbation method for the one-dimensional periodic Anderson lattice, we study the influence of electron-phonon coupling on the hybridization effect and the stability of paramagnetic and antiferromagnetic states. Our results show that both the hybridization effect and Kondo temperature are reduced. This effect is more significant at large hybridization interaction in that it will destroy the stability of the antiferromagnetic state. However, this is already beyond the parameter ranges for the heavy fermion compounds.