Dynamical mean-field theory of electron-phonon interaction in correlated electron materials: general results and application to doped Mott insulators

TL;DR

This paper develops a dynamical mean-field theory to analyze electron-phonon interactions in correlated materials, providing insights into effective mass and phase separation in doped Mott insulators.

Contribution

It introduces a computationally feasible approach to study electron-phonon interactions in systems with strong electron correlations.

Findings

Phonon contribution increases effective mass in doped Mott insulators.

Phase separation boundary is characterized within the model.

Method applicable to a broad class of correlated electron systems.

Abstract

The dynamical mean-field method is used to formulate a computationally tractable theory of electron-phonon interactions in systems with arbitrary local electron-electron interactions in the physically relevant adiabatic limit of phonon frequency small compared to electron bandwidth or interaction scale. As applications, the phonon contribution to the effective mass of a carrier in a lightly doped Mott insulator is determined and the phase separation boundary is discussed.