Abstract
Anderson's theory of localization in disordered systems is extended. It is shown that mobility edges exist, in agreement with the Mott-Cohen-Fritzsche-Ovshinsky model. As the randomness increases, the mobility edges move inwards into the band, and their coincidence is termed Anderson's transition. A criterion is developed restricting the energy regions where mobility edges can be found; explicit results are obtained for a Lorentzian distribution of single-site energies.
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