Extended Falicov-Kimball model: Exact solution for finite temperatures
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...
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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...
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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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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...
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The Falicov-Kimball model is a simple quantum lattice model that describes light and heavy electrons interacting with an on-site repulsion; alternatively, it is a model of itinerant electrons and fixed nuclei. It can be seen as a simplification of the Hubbard model; by neglecting the kinetic (hopping) energy of the spin up particles, one gets the Falicov-Kimball model. We show that away from ha...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2019
ISSN: 2469-9950,2469-9969
DOI: 10.1103/physrevb.99.245143