A. Shik, H.E. Ruda, D.E. Pelinovsky, and W. Craig

Depletion layers and contact capacitance in non-uniformly doped semiconductors,

J. Phys. D: Appl. Phys. 35, 2988-2993 (2002)

Abstract:
We consider the dependence of the capacitance C of the semiconductor depletion layer versus the voltage bias V of the substrate metallic contact. When the concentration of doping impurities varies in the plane parallel to the contact, we show that the standard Schottky dependence C-2(V) is no longer a straight line but has a sublinear character. We compute the effective concentration Neff from the slope of the dependence C-2(V) by using the perturbation and variation methods and compare Neff with previous theoretical and experimental data.

Keywords:
SEMICONDUCTORS, DEPLETION LAYERS, CAPACITANCE, CONCENTRATION--VOLTAGE CHARACTERISTICS, PERTURBATION SERIES METHODS, VARIATIONAL METHODS