Closed-form 2D modeling of sub-100 nm MOSFETs in the subthreshold regime
DOI:
https://doi.org/10.26636/jtit.2004.1.227Keywords:
sub-100 nm MOSFET, two-dimensional device modeling, conformal mapping, threshold voltage, subthreshold regime, leakage currentAbstract
Closed-form 2D modeling of deep-submicron and sub-100 nm MOSFETs is explored using a conformal mapping technique where the 2D Poisson equation in the depletion regions is separated into a 1D long-channel case and a 2D Laplace equation. The 1D solution defines the boundary potential values for the Laplacian, which in turn provides a 2D correction of the channel potential. The model has been tested for classical MOSFETs with gate lengths in the range 200-250 nm, and for a super-steep retrograde MOSFET with a gate length of 70 nm. With a minimal parameter set, the present modeling reproduces both qualitatively and quantitatively the experimental data obtained for such devices.
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