Metal-Insulator Transition in Randomly Interacting Systems

Abstract

We discuss a metal-insulator transition caused by random couplings of magnetic moments in itinerant systems. An analytic solution for the single particle Green function is derived from dynamical self consistency equations, the corresponding density of states is characterized by the opening of a gap. The scaling behavior of observables is analyzed in the framework of a scaling theory and different crossover lines are identified. A fluctuation expansion around the mean field solution accounts for both interaction and localization effects in a consistent manner and is argued to be relevant for the description of the recently discovered metal-insulator transition in 2d electronic systems.