The role of coulomb interactions in valence transition: Falicov_Kimball model
Bowen, Samuel P.
Lady, S. C.
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A nonperturbative method of Green function calculation is applied to the Falicov_Kimball model Hamiltonian. In an approximation to first order in the hopping matrix elements, self_consistent solutions for several thermal averages and correlation functions do not show abrupt phase changes as a function of temperature. This treatment suggests that the Coulomb correlation by itself is not the key ingredient to understanding valence transitions.