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

Jeppe C. Dyre; Thomas B. Schroeder

doi:10.1103/physrevb.54.14884

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

Jeppe C. Dyre·Thomas B. Schroeder

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Abstract

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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Jeppe C. Dyre, Thomas B. Schroeder. 1996-01-16. Effective one-dimensionality of AC hopping conduction in the extreme disorder limit. https://doi.org/10.1103/physrevb.54.14884

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