The migration of electrons in disordered solids

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Abstract
The migration of electrons in disordered solids was studied by theoretical analysis and computer simulation. The transfer energy between sites was assumed to be randomly distributed while the site energy to be constant, considering the loose structure of organic solids. The theoretical analysis gives results that the root mean square displacement in initially proportional to time (coherent motion), while after a long time lapse it becomes proportional to the square root of time (diffusive motion). Also, the mean square displacement is found to be proportional to the ratio of the mean value to the width of transfer energy. When the disorder is small the computer simulation gives curves of whose characters are similar to those given theoretically. When the disorder is large, however, the simulation curves show the saturation at long time lapse, that is, the electron is localized in this case. Discussion is made on this point.