SPACE-CHARGE LAYER CAPACITANCE AND OFFSET VOLTAGE OF AN EXPONENTIAL-CONSTANT P-N-JUNCTION

It is important to study an exponential-constant p-n junction because it gives a realistic approximation for many diffused p-n junction profiles. To calculate the space-charge layer capacitance for this junction we use an abrupt space-charge edge approximation with a correction which includes the effect of the mobile carriers at the edges of the space-charge region. In this approach the offset voltage V(off) is used in place of the built-in potential as obtained from the depletion approximation. An analytical model for the space-charge region capacitance for an exponential-constant junction is developed. This model holds well for zero bias, for small forward voltages, and for reverse voltages. It shows good agreement when compared with the Chawla-Gummel model. It is simple and gives a direct relationship between the depletion capacitance and the applied voltage.