Disordered organic semiconductors Gaussian

Fig. 8.45 Schematic of hopping transport in a disordered organic semiconductor. The energy distribution of the states (DOS) is assumed in the Bassler model to be a Gaussian distribution function C(E) with a width cr (compare Eq. (8.77)).

Van Mensfoort SLM, Coehoom R (2008) Effect of Gaussian disorder on the voltage dependence of the current density in sandwich-type devices based on organic semiconductors. Phys Rev B 78 085207... 

Coehoom R, Bobbert PA (2012) Effects of Gaussian disorder on charge carrier transport and recombination in organic semiconductors. Physica Status Solidi A 209 2354—2377... 

These two models, however, are insufficient to handle disordered organic materials, where the DOS is a Gaussian distribution, with localized carriers and discrete hopping within a distribution of energy states. Arkhipov presented an analytical model based on hopping theory [31] and Wolf preformed detailed Monte-Carlo simulations of hopping injection from a metal into an organic semiconductor [32]. Here we will present two injection models one is based on drift-diffusion theory and the other on the master equation. 

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