LOCALIZATION AND THE DENSITY OF STATES

In most problems involving localization caused by disorder, the density of states is both conceptually and experimentally the basic starting point. This point has been emphasized in Mott's work for many years. Current descriptions of localization often do not explicitly involve this important quantity. We have therefore formulated a new scaling approach to localization which emphasizes the role of the density of states in generating localization below the mobility edge epsilon(c). The theory is also applied to magnetoresistance and magnetolocalization (shift of epsilon(c) with magnetic field).