Thermodynamic studies of the two dimensional Falicov-Kimball model on a triangular lattice

TL;DR

This study investigates the thermodynamic behavior of the spinless Falicov-Kimball model on a triangular lattice, revealing a persistent discontinuous metal-insulator transition at finite temperatures through numerical simulations.

Contribution

It provides the first detailed analysis of the Falicov-Kimball model on a triangular lattice, highlighting the robustness of the metal-insulator transition against thermal effects.

Findings

Discontinuous metal-insulator transition persists at finite temperature.

Specific heat exhibits single and double peak structures depending on parameters.

Finite temperature effects do not smear out the ground state transition.

Abstract

Thermodynamic properties of the spinless Falicov-Kimball model are studied on a triangular lattice using numerical diagonalization technique with Monte-Carlo simulation algorithm. Discontinuous metal-insulator transition is observed at finite temperature. Unlike the case of square lattice, here we observe that the finite temperature effect is not able to smear out the discontinuous metal-insulator transition seen in the ground state. Calculation of specific heat (C_v) shows single and double peak structures for different values of parameters like on-site correlation strength (U), f-electron energy (E_f) and temperature.