title: A ground state phase diagram of a spinless, extended Falicov-Kimball model on the triangular lattice.
abstract: Correlated systems with hexagonal layered structures have come to the fore with renewed interest in cobaltates, transition metal dichalcogenides and GdI(2). 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 a 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 complex charge order and other broken symmetry structures as well as the phase segregations observed in the ground state of these systems.
authors.affiliation: Department of Physics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India.
authors.forename: Umesh K
authors.initials: UK
authors.lastname: Yadav
authors.forename: T
authors.initials: T
authors.lastname: Maitra
authors.forename: Ishwar
authors.initials: I
authors.lastname: Singh
authors.forename: A
authors.initials: A
authors.lastname: Taraphder