Coupling of quantum degrees of freedom in strongly interacting disordered electron systems

We derive the exact expression for the averaged free energy of a general class of Hubbard-type models with local, quenched disorder in the limit of high dimensions. A clear mean-field interpretation of its structure is given. Analytic results are obtained for a simplified Hubbard model with disorder. The two-particle correlation functions are shown to display a novel coupling of quantum degrees of freedom whenever genuine electron-electron correlation effects are present.