Extended Falicov-Kimball model: Exact solution for the ground state
نویسندگان
چکیده
منابع مشابه
Bosonization solution of the Falicov-Kimball model.
We use a novel approach to analyze the one-dimensional spinless Falicov-Kimball model. We derive a simple effective model for the occupation of the localized orbitals which clearly reveals the origin of the known ordering. Our study is extended to a quantum model with hybridization between the localized and itinerant states: We find a crossover between the well-known weak- and strong-coupling b...
متن کاملFalicov - Kimball Model
The “Falicov-Kimball model” was first considered by Hubbard and Gutzwiller in 1963– 65 as a simplification of the Hubbard model. Falicov and Kimball introduced in 1969 a model that included a few extra complications, in order to investigate metal-insulator phase transitions in rare-earth materials and transition-metal compounds. Experimental data suggested that this transition is due to the int...
متن کاملGround-state properties of multicomponent Falicov–Kimball-like models I
We consider a classical lattice gas that consists of more than one “species” of particles (like a spin-32 Ising model or the atomic limit of the extended Hubbard model), whose ground-state phase diagram is macroscopically degenerate. This gas is coupled component-wise and in the Falicov–Kimball-like manner to a multicomponent free-fermion gas. We show rigorously that a component-wise coupling o...
متن کاملOrder, criticality, and excitations in the extended Falicov-Kimball model.
Using exact numerical techniques, we investigate the nature of excitonic (electron-hole) bound states and the development of exciton coherence in the one-dimensional half-filled extended Falicov-Kimball model. The ground-state phase diagram of the model exhibits, besides band-insulator and staggered orbital ordered phases, an excitonic insulator (EI) with power-law correlations. The criticality...
متن کاملExact 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...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2017
ISSN: 2469-9950,2469-9969
DOI: 10.1103/physrevb.96.205102