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

## TL;DR

This study investigates how electron-phonon interactions influence the volume collapse transition in Cerium using an extended periodic Anderson model, revealing that phonons enhance the collapse and induce spectral gaps.

## Contribution

It introduces a model incorporating Holstein phonons into the periodic Anderson framework to analyze Cerium's volume collapse, highlighting the role of electron-phonon coupling.

## Key findings

- Electron-phonon coupling enhances the volume collapse transition.
- Spectral gaps in conduction electrons grow with electron-phonon coupling.
- Results align with experimental observations and suggest features of the Mott scenario.

## Abstract

Recent experiments have suggested that the electron-phonon coupling may play an important role in the $\gamma \rightarrow \alpha$ volume collapse transition in Cerium. A minimal model for the description of such transition is the periodic Anderson model. In order to better understand the effect of the electron-phonon interaction on the volume collapse transition, we study the periodic Anderson model with coupling between Holstein phonons and electrons in the conduction band. We find that the electron-phonon coupling enhances the volume collapse, which is consistent with experiments in Cerium. While 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.