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Original Articles

Exact solution of the multicomponent Falicov-Kimball model in infinite dimensions

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Pages 1443-1467 | Received 08 Mar 2001, Accepted 09 Apr 2001, Published online: 25 Aug 2009
 

Abstract

The exact solution for the thermodynamic and dynamie properties of the infinite-dimensional multicomponent Falicov-Kimball model for arbitrary concentrations of d and f electrons is presented. The emphasis is on a descriptive derivation of important physical quantities by the equation-of-motion technique. We provide a thorough discussion of the f-electron Green's function and of the susceptibility to spontaneous hybridization. The solutions are used to illustrate different physical systems ranging from the high-temperature phase of the YbInCu4 family of materials to an examination of classical intermediate-valence systems that can develop a spontaneous hybridization at T = 0.

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