Charge - transfer metal - insulator transitions in the spin - 12 Falicov - Kimball model
نویسندگان
چکیده
The spin1 2 Falicov-Kimball model is solved exactly on an infinite-coordination-number Bethe lattice in the thermodynamic limit. This model is a paradigm for a charge-transfer metal-insulator transition, where the occupancy of localized and delocalized electronic orbitals rapidly changes at the metal-insulator transition ~rather than the character of the electronic states changing from insulating to metallic as in a Mott-Hubbard transition!. The exact solution displays both continuous and discontinuous ~first-order! transitions. @S0163-1829~98!02419-9#
منابع مشابه
Exact solution of the Falicov-Kimball model with dynamical mean-field theory
The Falicov-Kimball model was introduced in 1969 as a statistical model for metal-insulator transitions; it includes itinerant and localized electrons that mutually interact with a local Coulomb interaction and is the simplest model of electron correlations. It can be solved exactly with dynamical mean-field theory in the limit of large spatial dimensions which provides an interesting benchmark...
متن کاملTheory of Valence Transitions in Ytterbium-based Compounds
The anomalous behavior of YbInCu4 and similar compounds is modeled by the exact solution of the spin one-half Falicov-Kimball model in infinite dimensions. The valence-fluctuating transition is related to a metal-insulator transition caused by the Falicov-Kimball interaction, and triggered by the change in the f-occupancy.
متن کاملMetal-insulator transitions in the Falicov-Kimball model with disorder
The ground-state phase diagrams of the Falicov-Kimball model with local disorder are derived within the dynamical mean-field theory and using the geometrically averaged s“typical”d local density of states. Correlated metal, Mott insulator, and Anderson insulator phases are identified. The metal-insulator transitions are found to be continuous. The interaction and disorder compete with each othe...
متن کاملar X iv : c on d - m at / 9 61 21 37 v 1 1 4 D ec 1 99 6 A complete devil ’ s staircase in the Falicov - Kimball model
In this letter we study the ground-state phase diagram of the one-dimensional Falicov-Kimball model. This model was proposed to describe metal-insulator transitions [ 1] and has since been investigated in connection with a variety of problems such as binary alloys [ 2], ordering in mixed-valence systems [ 3], and the formation of ionic crystals [ 4]. It is the latter language we shall use here,...
متن کاملCompetition between phase separation and "Classical" intermediate valence in an exactly solved model
The exact solution of the spin-1 / 2 Falicov-Kimball model on an infinite-coordination Bethe lattice is analyzed in the regime of "classical" intermediate valence. We find that (i) either phase separation or a direct metal-insulator transition precludes intermediate valence over a large portion of the phase diagram, and (ii) within the intermediate valence phase, only continuous transitions are...
متن کامل