STRONG CORRELATIONS AND DISORDER IN D=INFINITY AND BEYOND

The behavior of strongly correlated electrons in disordered systems is investigated using a functional integral formulation of the problem. In the mean-field approximation, which becomes exact in the limit of l arge spatial dimensionality, the problem reduces to the solution of an ensemble of self-consistently determined Anderson impurity models. Th e methods are applied to different classes of disorder, and the possib le phases of the system are analyzed. We present results for the behav ior of the thermodynamic and transport properties near the metal-insul ator transitions for each case considered. When strong hopping disorde r is present, disorder-induced local-moment formation is found, leadin g to qualitative modifications of metallic phases even away from the t ransition. Finally, we indicate how our approach can be systematically extended beyond the mean-field limit, where the presence of spatial f luctuations makes it possible to address the problem of Anderson local ization in strongly correlated electronic systems.