Using the general result that the mobility μ, of charge carriers driven in a spatially correlated random potential by an electric field E can be expressed in terms of the Laplace transform of a particular correlation function related to the random potential, we demonstrate that the exponential dependence of μ on √E universally observed in molecularly doped polymers arises naturally from the interaction of charge carriers with randomly distributed permanent dipoles.
D. H. Dunlap et al., "Charge-Dipole Model for the Universal Field Dependence of Mobilities in Molecularly Doped Polymers," Physical Review Letters, vol. 77, no. 3, pp. 542-545, American Physical Society (APS), Jul 1996.
The definitive version is available at https://doi.org/10.1103/PhysRevLett.77.542
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