Phase transitions in a spinless, extended Falicov-Kimball model on the triangular lattice

TL;DR

This study uses numerical methods to analyze phase transitions in a spinless Falicov-Kimball model on a triangular lattice, revealing how correlated hopping influences critical temperatures and phase stability.

Contribution

It introduces a combined numerical diagonalization and Monte Carlo approach to explore phase transitions in the extended Falicov-Kimball model on a triangular lattice, highlighting the effects of correlated hopping.

Findings

Ordered phases persist up to a finite critical temperature.

Critical temperature decreases with increasing correlated hopping in some phases.

Specific heat and charge susceptibility show distinct peak patterns depending on parameters.

Abstract

A numerical diagonalization technique with canonical Monte-Carlo simulation algorithm is used to study the phase transitions from low temperature (ordered) phase to high temperature (disordered) phase of spinless Falicov-Kimball model on a triangular lattice with correlated hopping ($t^{\prime}$). It is observed that the low temperature ordered phases (i.e. regular, bounded and segregated) persist up to a finite critical temperature ($T_{c}$). In addition, we observe that the critical temperature decreases with increasing the correlated hopping in regular and bounded phases whereas it increases in the segregated phase. Single and multi peak patterns seen in the temperature dependence of specific heat ($C_v$) and charge susceptibility ($\chi$) for different values of parameters like on-site Coulomb correlation strength ($U$), correlated hopping ($t^{\prime}$) and filling of localized electrons ($n_{f}$) are also discussed.