Abstract

The transition between localized and extended electronic states in disordered materials is considered by the use of two different models. The mathematical analogy between this transition and phase transitions and critical points in fluids and magnets is stressed and exploited. The localization probability and range in the neighborhood of the transition are shown to have critical exponent type behavior with the exponents 13/6 and -2/3, respectively. A preliminary discussion of electron mobility in disordered materials is also presented.

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