Ground state phase diagram of a spinless, extended Falicov-Kimball model on the triangular lattice

TL;DR

This paper investigates the ground state phase diagram of an extended spinless Falicov-Kimball model on a triangular lattice, revealing diverse charge-ordered states and phase transitions relevant to correlated hexagonal layered materials.

Contribution

It provides a comprehensive Monte Carlo analysis of the extended Falicov-Kimball model on a non-bipartite lattice, identifying multiple competing ground states and transitions.

Findings

Multiple charge-ordered ground states identified

Presence of valence and metal-insulator transitions

Complex phase segregation phenomena observed

Abstract

Correlated systems with hexagonal layered structures have come to fore with renewed interest in Cobaltates, transition-metal dichalcogenides and GdI2. While superconductivity, unusual metal and possible exotic states (prevented from long range order by strong local fluctuations) appear to come from frustration and correlation working in tandem in such systems, they freeze at lower temperature to crystalline states. The underlying effective Hamiltonian in some of these systems is believed to be the Falicov-Kimball model and therefore, a thorough study of the ground state of this model and its extended version on a non-bipartite lattice is important. Using a Monte Carlo search algorithm, we identify a large number of different possible ground states with charge order as well as valence and metal-insulator transitions. Such competing states, close in energy, give rise to the complex charge order and other broken symmetry structures as well as phase segregations observed in the ground state of these systems.