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Abstract
We present a new approach to study the conductivity of granular metals in a hopping conductivity regime. It is shown that in a bicomponent mixture of metallic spheres embedded in an insulator matrix the current-carrying routes are a sparse network of grains with given correlations between grain separations and grain sizes. The type of correlations depends on the parameters of the system and temperature. As temperature changes the current switches to the networks with a different type of correlation and composition, which provide the minimal bulk resistance at a given temperature.
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