Periodic Anderson model with Holstein phonons for the description of the Cerium volume collapse

In order to better understand the effect of the electron-phonon interaction on the volume collapse transition of Cerium, we study the periodic Anderson model with coupling between Holstein phonons and electrons in the conduction band. We find that the electron-phonon coupling can enhance the volume collapse, which is consistent with experiments. Although we start with the Kondo Volume Collapse scenario in mind, our results capture some interesting features of the Mott scenario, such as a gap in the conduction electron spectra which grows with the effective electron-phonon coupling.