A. Jungel et C. Schmeiser, VOLTAGE-CURRENT CHARACTERISTICS OF A PN-DIODE FROM A DRIFT-DIFFUSION MODEL WITH NONLINEAR DIFFUSION, Quarterly of applied mathematics, 55(4), 1997, pp. 707-721
A drift-diffusion model with density-dependent diffusion coefficients
for the flow of electrons and holes in a semiconductor crystal is cons
idered. It contains a new class of models for recombination-generation
effects as well as boundary conditions modelling Ohmic contacts. Exis
tence of steady-state solutions is proven. For a planar pn-diode the q
ualitative properties of steady-state solutions in dependence on the a
pplied voltage is examined and, in particular, voltage-current charact
eristics are discussed.