Abstract

An improved calculation model in the percolation theory is used to determine the d.c. conductivity in granular metals. The model is shown to be adequate for explaining the simultaneous contribution of the laws ln σ∼ T −γ with γ=1/4, 1/3, 1/2 in the same range of temperature: this results from a constant density of states. One of these laws is only dominant for a certain distribution of the grain sizes. The crossover from γ=1/4 to γ=1/2 with increasing temperature is only possible for a density of states of the form р(∈)=р 0 + a ∈ 2 . The results are shown to be dependent on the shape of the density of states.

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