The effect of correlations on the conductivity of the small-polaron regime in disordered systems

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Abstract
The authors apply percolation theory to the high-temperature small-polaron hopping regime including correlation between bonds due to the energy in the common site. This drastically affects the temperature dependence of the conductivity. Thus, despite the fact that the average transition rates, and consequently the percolation condition, for the few-phonon low-T and the multiphonon high-T regimes are different, they obtain the same temperature dependence for the conductivity, namely Mott's law sigma approximately exp(-(T0/T)14/).

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