Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
Doi
Abstract
The van Roosbroeck system describes the semi-classical transport of
free electrons and holes in a self-consistent electric field using a
drift-diffusion approximation. It became the standard model to describe the
current flow in semiconductor devices at macroscopic scale. Typical devices
modeled by these equations range from diodes, transistors, LEDs, solar cells
and lasers to quantum nanostructures and organic semiconductors. The report
provides an introduction into numerical methods for the van Roosbroeck
system. The main focus lies on the Scharfetter-Gummel finite volume
disretization scheme and recent efforts to generalize this approach to
general statistical distribution functions
