Generalized Einstein relation for disordered semiconductors with exponential distributions of tail states and square-root distributions of band states

We present a generalized Einstein relation analysis, applicable for disordered semiconductors with exponential distributions of tail states and square-root distributions of band states. We find that there are substantial deviations from the traditional nondegenerate form of this relation, these deviations arising as a consequence of the degeneracy of the occupation statistics within disordered semiconductors. We use these results to account for some hydrogenated amorphous silicon experimental results. (C) 2003 American Institute of Physics.