2010/01/20 by Umesh K. Yadav, T. Maitra, Ishwar Singh +1
Materials Science · Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Charge (physics) #Charge ordering #Condensed matter physics #Electron #Frustration #Ground state #Hamiltonian (control theory) #Hexagonal lattice #Ising model #Lattice (music) #Magnetic and transport properties of perovskites and related materials #Mathematics #Phase (matter) #Phase diagram #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Square lattice #Strongly correlated material #Superconductivity #Valence bond theory #cond-mat.str-el
paper · pdf · doi:10.1088/0953-8984/22/29/295602
published as J. Phys.: Condens. Matter 22 (2010) 295602 · 9 pages, 7 figures
arxiv created 2010/01/20 · openalex publication_date 2010/06/29 · arxiv updated 2015/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.