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Universal temperature dependence of the conductivity of a strongly disordered granular metal

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Abstract

A disordered array of metal grains with large and random intergrain conductances is studied within the one-loop accuracy renormalization group approach. While, at low level of disorder, the dependence of conductivity on logT is nonuniversal (it depends on the details of the array’s geometry), for strong disorder, this dependence is described by a universal nonlinear function, which depends only on the array’s dimensionality. This function is found numerically in two dimensions. The dimensional crossover in granular films is discussed.

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Akhmerov, A.R., Ioselevich, A.S. Universal temperature dependence of the conductivity of a strongly disordered granular metal. Jetp Lett. 83, 211–216 (2006). https://doi.org/10.1134/S0021364006050067

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  • DOI: https://doi.org/10.1134/S0021364006050067

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