Statistical dynamical mean-field description of strongly correlated disordered electron-phonon systems

TL;DR

This paper develops a theoretical framework combining localization and dynamical mean-field theories to study how disorder and electron-phonon interactions influence polaron formation and electron localization in strongly correlated systems.

Contribution

It introduces a novel approach that simultaneously captures polaron effects and Anderson localization using a self-consistent, statistical method based on the local density of states.

Findings

Polaron effects significantly shift the mobility edge.

The typical LDOS effectively distinguishes between localized and itinerant states.

The approach provides insights into the interplay of disorder and electron-phonon interactions.

Abstract

Combining the self-consistent theory of localization and the dynamical mean-field theory, we present a theoretical approach capable of describing both self-trapping of charge carriers during the process of polaron formation and disorder-induced Anderson localization. By constructing random samples for the local density of states (LDOS) we analyze the distribution function for this quantity and demonstrate that the typical rather than the mean LDOS is a natural measure to distinguish between itinerant and localized states. Significant polaron effects on the mobility edge are found.