Correlated hopping in the 1D Falicov-Kimball model

TL;DR

This paper explores the phase diagrams of the one-dimensional Falicov-Kimball model with correlated hopping, revealing asymmetries and phase behavior differences compared to the conventional model.

Contribution

It provides the first comprehensive phase diagrams of the 1D FKM with correlated hopping in both canonical and grand canonical ensembles.

Findings

Loss of hole-particle symmetry in phase diagrams

Identification of new phase regions due to correlated hopping

Thermodynamic limit analysis of the model

Abstract

Both canonical and grand canonical phase diagrams of the one-dimensional Falicov-Kimball model (FKM) with correlated hopping are presented for several values of the model parameters. Using the method of restricted phase diagrams the system has been studied in the thermodynamic limit. As compare to the conventional FKM, the diagrams exhibit a loss of the hole-particle symmetry.