C. Popescu et al., I-V CURVE SHAPE FACTOR FOR THIN P-N-JUNCTIONS AT HIGH INJECTION LEVELS, Physica status solidi. a, Applied research, 158(2), 1996, pp. 611-621
Modeling of the I(V, T) dependence in thin p-n semiconductor structure
s shows that various behaviors in its shape factor can be correlated w
ith and explained through the voltage dependence of the carrier concen
tration product np and its components, at the zero field injection-poi
nt, for various conditions controlled by thickness and doping. A ''sec
ond exponential'' high injection range exp (qV/nkT), with a shape fact
or n as high as four appears to be a consequence of the departure from
quasineutrality due to significant minority carrier space charge, fav
ored by low doping and thickness. In thin structures, the presence of
a second exponential range is associated with the presence of a quadra
tic range (I similar to V-2) at very high current densities.