Journal
IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS
Volume 23, Issue 6, Pages 837-842Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCAD.2004.828128
Keywords
density gradient theory; discretization; double-gate MOSFET; MOSFET; quantum confinement; quantum drift-diffusion (QDD) model; semiconductor transport
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This paper describes a hew approach to construct a multidimensional discretization scheme of quantum drift-diffusion (QDD) model (or density gradient model) arising in MOSFET structures. The discretization is performed for the stationary QDD equations replaced by an equivalent form, employing an exponential transformation of variables. A multidimensional discretization scheme is constructed by making use of an exponential-fitting method in a class of conservative difference schemes, applying the finite-volume method, which leads to a consistent generalization of the Scharfetter-Gummel expression to the nonlinear Sturm-Liouville type equation. The discretization method is evaluated in a variety of MOSFET structures, including a double-gat,e MOSFET With thin body layer. The discretization method provides numerical stability and accuracy for carrier transport simulations with quantum confinement effects in ultrasmall MOSFET structures.
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