Abstract:Mott's variable range hopping (v.r.h.) is the phonon-induced hopping of electrons in disordered solids (as doped semiconductors) within the regime of strong Anderson localization. It was introduced by N. Mott to explain the anomalous low temperature conductivity decay corresponding now to the so called Mott's law. We provide a rigorous derivation of this Physics law for two effective models of Mott v.r.h.: the Miller-Abrahams random resistor network and Mott's random walk. We also determine the constant multip… Show more
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