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arxiv: cond-mat/9601052 · v1 · submitted 1996-01-16 · ❄️ cond-mat

Effective one-dimensionality of AC hopping conduction in the extreme disorder limit

classification ❄️ cond-mat
keywords disordereffectiveextremehoppinglimitpathpercolationapproximation
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It is argued that in the limit of extreme disorder AC hopping is dominated by "percolation paths". Modelling a percolation path as a one-dimensional path with a sharp jump rate cut-off leads to an expression for the universal AC conductivity, that fits computer simulations in two and three dimensions better than the effective medium approximation.

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