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

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