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Scaling theory for percolative charge transport in disordered molecular semiconductors
J Cottaar1, L J A Koster, R Coehoorn
1Department of Applied Physics, Eindhoven University of Technology, The Netherlands.
Abstract:
We present a scaling theory for charge transport in disordered molecular semiconductors that extends percolation theory by including bonds with conductances close to the percolating one in the random-resistor network representing charge hopping. A general and compact expression is given for the charge mobility for Miller-Abrahams and Marcus hopping on different lattices with Gaussian energy disorder, with parameters determined from numerically exact results. The charge-concentration dependence is universal. The model-specific temperature dependence can be used to distinguish between the hopping models.
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