Abstract

Abstract The transient current induced by the random walk of particles in site percolation clusters in a 30 × 30 × 30 simple-cubic lattice is calculated with the Monte Carlo technique. The calculated transient current could be fitted by a pair of hyperbolic decay functions and can describe the dispersive transient currents observed in time-of-flight experiment on amorphous semiconductors. We have found that the dispersion parameter α1 calculated for incipient percolation clusters is given by δ/[dbar], where [dbar] and δ are the fractal and fracton dimensions, respectively.

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