Theory of hopping transport of holes in amorphous SiO2

Abstract
A quantum‐mechanical theory of hole transport in SiO2 is developed based on modeling of the oxide as an array of time‐dependent δ‐function potential well distribution. Holes undergo a variable range hopping transport which is dispersive in nature. The oxide, being an insulator, involves a maximum cutoff phonon frequency of 1014–1015 s−1. The Schrödinger equation is solved along with the Poisson equation using a piecewise linear internal field. The theory is applied to metal‐oxide‐semiconductor structures subjected to a short radiation pulse.