Nano Science and Technology Institute
Nanotech 2004 Vol. 2
Nanotech 2004 Vol. 2
Technical Proceedings of the 2004 NSTI Nanotechnology Conference and Trade Show, Volume 2
Chapter 3: Compact Modeling

An Exact Analytic Model of Undoped Body MOSFETs using the SPP Approach

Authors:J. He, X. Xi, M. Chan, A. Niknejad and C. Hu
Affilation:University of California, Berkeley, US
Pages:128 - 131
Keywords:Undoped MOSFET, charge carrier density, compact modeling, surface-potential-plus
Abstract:An exact analytic model for undoped (or lightly doped) body MOSFETs has been derived in this paper by incorporating the mobile charge density in the 1-D Poissons equation. The formulation starts with deriving a close form solution that relates the channel band bending and inversion charge to gate and channel voltage using Gausss law and the gradient equation of the field effect devices. A continuous current-voltage model is then developed based on the exaction solution to the channel charge. The preliminary model has been verified by comparing with long channel results generated by 2-D simulator. Very good agreements in all operation regions from sub-threshold to strong inversion, and from linear to saturation are obtained. By using simple geometry parameter alone, the model is capable to capture all features obtained from 2-D device simulator.
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