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We numerically simulate the temperature dependence of thermally activated tunnelling conductance in granular metal films. By mapping the grains on to a simple-cubic lattice and considering hops up to third-nearest neighbours, it is shown that the hopping conductivity α follows - In σ α 1/T1/2 accurately over several orders of magnitudes. These results support the interpretation that this widely observed behaviour results from interpolating the high-temperature activation behaviour and the low-temperature - Inσ α 1/T1/4 behaviour.
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Zhou et al. (1992) studied this question.
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