Forward-voltage capacitance and thickness of p-n junction space-charge regions

Abstract

A comprehensive analytical model for the quasi-static capacitance of the space-charge region of p-n junction devices is presented. It describes the capacitance for all voltages, including voltages large enough to cause the junction barrier to vanish. The model applies for exponential-constant doping profiles, the limiting cases of which are the step and the linear-graded profiles. In addition to the analytical model, an iterative technique is developed to yield numerically the thickness of the space-charge region as a function of voltage. The capacitance model shows good agreement when compared with measured dependencies, With an empirical model for circuit simulation, and with models based on device simulation. The model extends previous replacements of the depletion capacitance, provides a tool for circuit simulation, and is intended to provide understanding of the physics related to storage of mobile holes and electrons in the junction space-charge region.