Conductance Statistics near the Anderson Transition

Abstract

Since the pioneering work of Anderson [2] we know that disorder localizes electrons. At zero temperature any small amount of disorder localizes all electrons in one-dimensional systems [2]. In higher dimensions (d > 2 for systems with orthogonal symmetry) weak disorder does not destroy the metallic regime. Only when the strength of the disorder increases beyond a certain specific value (critical disorder), the electron becomes localized. This phenomenon – transition from the metallic to the insulating regime due to an increase of disorder – is called Anderson transition [3].