Dispersive diffusion controlled distance dependent recombination in amorphous semiconductors

Details Dispersive diffusion controlled distance dependent recombination in amorphous semiconductors Dispersive diffusion controlled distance dependent recombination in amorphous semiconductors

2005-11-29

arxiv.org/abs/cond-mat/0511686v1

Physics

Condensed Matter

Statistical Mechanics

To appear in Journal of Chemical Physics

Scientific paper

10.1063/1.2161213

The photoluminescence in amorphous semiconductors decays according to power law $t^{-delta}$ at long times. The photoluminescence is controlled by dispersive transport of electrons. The latter is usually characterized by the power $alpha$ of the transient current observed in the time-of-flight experiments. Geminate recombination occurs by radiative tunneling which has a distance dependence. In this paper, we formulate ways to calculate reaction rates and survival probabilities in the case carriers execute dispersive diffusion with long-range reactivity. The method is applied to obtain tunneling recombination rates under dispersive diffusion. The theoretical condition of observing the relation $delta = alpha/2 + 1$ is obtained and theoretical recombination rates are compared to the kinetics of observed photoluminescence decay in the whole time range measured.

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