Recent papers on advanced semiconductor devices adopt a model called "density-gradient correction", in which the standard electric potential acting on the carriers is modified by a non-linear term involving the carrier concentration and its second derivatives. When applied to cases where quantum effects are non negligible, the modified model improves the results with respect to the standard approach. The paper shows how, starting from a straighforward derivation of the density-gradient correction from the Schroedinger equation, its interpretation as an addition to the potential energy is questionable, and makes a few considerations for further investigation on the subject.
Rudan, M., Gnani, E., Reggiani, S., Baccarani, G. (2004). The density-gradient correction as a disguised pilot wave of de Broglie. VIENNA : Springer.
The density-gradient correction as a disguised pilot wave of de Broglie
RUDAN, MASSIMO;GNANI, ELENA;REGGIANI, SUSANNA;BACCARANI, GIORGIO
2004
Abstract
Recent papers on advanced semiconductor devices adopt a model called "density-gradient correction", in which the standard electric potential acting on the carriers is modified by a non-linear term involving the carrier concentration and its second derivatives. When applied to cases where quantum effects are non negligible, the modified model improves the results with respect to the standard approach. The paper shows how, starting from a straighforward derivation of the density-gradient correction from the Schroedinger equation, its interpretation as an addition to the potential energy is questionable, and makes a few considerations for further investigation on the subject.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
