Stationary Solutions for Inhomogeneous Field Distribution in Homogeneous Semiconductors in a Range of Negative Differential Conductivity

摘要

For a simple reaction-kinetic model of a homogeneous semiconductor layer-like field inhomogeneities have been shown to occur if and only if the decrease in conductivity is stronger than linear with increasing field. Such negative differential conductivity may be the result of either a field-dependent carrier concentration of a field-dependent mobility. The paper discusses only the stationary solutions of a system of differential equations representing the reaction-kinetic models of both these cases.