Dynamical susceptibilities of the Falicov-Kimball model with correlated hopping: general approach

Abstract

The Falicov-Kimball model with correlated hopping is studied in the limit of infinite spatial dimensions. Dynamical susceptibilities are calculated using the generalization of the Dynamical Mean-Field Theory (DMFT), which is based on expansion over electron hopping around the single-site limit. A special case of semi-elliptic density of states and diagonal correlated hopping is considered numerically and the absence of phase transition for all temperatures except T = 0 is demonstrated, which corresponds to the known results.