Correlated hopping in infinite dimensions: Rigorous local approach

TL;DR

This paper develops a rigorous local approach within Dynamical Mean-Field Theory to describe correlated hopping in infinite dimensions, enabling calculation of thermodynamical functions and analyzing models like the Falicov-Kimball with correlated hopping.

Contribution

It introduces a local irreducible parts (cumulants) based method for correlated hopping, advancing the theoretical framework in DMFT.

Findings

Formulated a local approach for correlated hopping in DMFT.

Applied the method to the Falicov-Kimball model with correlated hopping.

Enabled calculation of thermodynamical functions in this context.

Abstract

The general approach for the description of correlated hopping in the Dynamical Mean-Field Theory which is based on the expansion over electron hopping around the atomic limit is developed. It is formulated in terms of the local irreducible parts (cumulants) of Green's functions and allowed to calculate thermodynamical functions. As a limit case the Falicov-Kimball model with correlated hopping is considered.