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 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.

9 pages, 7 figures

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Cited by in corpus (7)

• An extended Falicov-Kimball model on a triangular lattice
• Thermodynamic studies of the two dimensional Falicov-Kimball model on a triangular lattice
• Study of ground state phases for spin-1/2 Falicov-Kimball model on a triangular lattice
• Phase transitions in a spinless, extended Falicov-Kimball model on the triangular lattice
• Orbital Magnetic Field Driven Metal-Insulator Transition in Spinless Extended Falicov-Kimball Model on A Triangular Lattice
• Classical and quantum liquids induced by quantum fluctuations
• Quantum Ising Systems, Edge Modes, and Rabi Lattice