Abstract
We study the interplay between superconductivity and excitonic correlations in a two-band model, in the presence of hybridization and local repulsion between electrons of different bands. The ground-state phase diagram as a function of the hybridization V and the interband Coulomb repulsion G is constructed. There is a critical value of hybridization ${V}_{c}$ to destroy superconductivity, which decreases as G is increased. For values of G above a critical strength ${G}_{c},$ superconductivity is suppressed even for zero hybridization. We have obtained this result within a self-consistent mean-field treatment and using the Hubbard-I approximation. The valence transition in a mixed valence superconducting compound is considered.
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