On dispersive transport by hopping and by trapping

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Abstract
The physical connection between the non-markovian, homogeneous dispersive transport theory of Scher and Montroll, and markovian transport in real inhomogeneous systems is clarified. In the light of this connection, the time dependence of the transient current in time-of-flight experiments is examined for two processes, the hopping mechanism, and the trap limited transport mechanism. It is found that the results of Scher and Montroll are a good representation of the trap limited transport under broad conditions, but they do not ably represent the hopping transport. The expected time dependence of the current for hopping is derived for three time regimes. It is found to differ qualitatively from the time dependence of the current for trapping. A formula is given which relates Scher and Montroll's parameter α to the density of states and trapping time distribution in the case of trapping.

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