Abstract
By considering a model in which charge is transported via phonon-induced tunneling of electrons between localized states which are randomly distributed in energy and position, Mott has obtained an electrical conductivity of the form . Here is the temperature of the system, is the density of states at the Fermi level, is a dimensionless constant, and is the distance for exponential decay of the wave functions. We rederive these results, relating to the critical density of a certain dimensionless percolation problem, and we estimate to be approximately 16. The applicability of the model to experimental observations on amorphous Ge, Si, and C is discussed.
- Received 14 May 1971
DOI:https://doi.org/10.1103/PhysRevB.4.2612
©1971 American Physical Society