H. Kosina et S. Selberherr, A HYBRID DEVICE SIMULATOR THAT COMBINES MONTE-CARLO AND DRIFT-DIFFUSION ANALYSIS, IEEE transactions on computer-aided design of integrated circuits and systems, 13(2), 1994, pp. 201-210
A hybrid simulator suitable for modeling small semiconductor devices h
as been developed in which Monte Carlo and drift-diffusion models are
combined. In critical device regions, the position-dependent coefficie
nts of an extended drift-diffusion equation are extracted from a Monte
Carlo simulation. Criteria for identifying these regions are describe
d. Additional features which make the code more efficient are presente
d. First, a free-flight time calculation method using a new self-scatt
ering algorithm is described. It allows for an efficient reduction of
self-scattering events. Second, a unique Monte Carlo Poisson coupling
scheme has been developed which converges faster than all presently kn
own schemes. It exploits the so-called Monte Carlo-drift diffusion cou
pling technique, which also forms the basis of the hybrid method. The
simulator has been used to model submicron MOSFET's with gate lengths
down to 0.15 mu m. In addition to the non-local effects occurring in t
hese devices, the performance of the hybrid simulation method is analy
zed.