Phase transitions induced by correlated hopping in the Falicov-Kimball model

TL;DR

This paper investigates how correlated hopping affects phase transitions and conductivity in the one-dimensional Falicov-Kimball model, revealing significant impacts on insulator-metal transitions and emphasizing its importance in modeling correlated materials.

Contribution

It demonstrates that correlated hopping plays a crucial role in phase transitions and conductivity, which has been neglected in previous models of correlated materials.

Findings

Correlated hopping significantly influences phase transitions.

Insulator-metal transitions occur with correlated hopping.

Both continuous and discontinuous valence transitions are observed.

Abstract

The extrapolation of finite-cluster calculations is used to examine properties of the one-dimensional Falicov-Kimball model with correla It is shown that the correlated hopping strongly influences both the transitions and the conducting properties of the model and so it sho neglected in the correct description of materials with correlated el This is illustrated for two selected values of the Coulomb interacti that represent typical behavior of the model for small and intermedi (strong) interactions. In both cases the insulator-metal transitions (accompanied by continuous or discontinuous valence transitions) ind correlated hopping are observed.