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

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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6 pages, 6 figures, submitted to JETP Letters

Scientific paper

10.1134/S0021364006050067

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 log T is nonuniversal (it depends on 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. In two dimensions this function is found numerically. The dimensional crossover in granular films is discussed.

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