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Original Articles

Quantum fluctuations of the conductance in the hopping regime

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Pages 595-605 | Received 21 Oct 1991, Accepted 12 Nov 1991, Published online: 20 Aug 2006
 

Abstract

The results of the numerical scaling approach for localization are used to discuss the statistical behaviour of the zero-temperature conductance of disordered systems of finite size. In the asymptotic regime of strong localization, where transport is dominated by hopping processes, explicit expressions for the temperature dependence of the fluctuations of the conductance and the resistance are obtained by assuming that the phase coherence length is given by the Mott hopping law. It is shown that the temperature dependence of the fluctuations of the logarithm of the conductance/resistance does not depend on the assumptions concerning the statistics of the hopping processes. The results are compared with other theoretical and experimental approaches.

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