Nanotech 2005 Vol. 3
Nanotech 2005 Vol. 3
Technical Proceedings of the 2005 NSTI Nanotechnology Conference and Trade Show, Volume 3

Nanoscale Device and Process Modeling Chapter 1

MOSFET Analytical Inversion Charge Model with Quantum Effects using a Triangular Potential Well Approximation

Authors: H. Abebe, E.C. Cumberbatch, V. Tyree and H.C. Morris

Affilation: USC/ISI MOSIS, United States

Pages: 64 - 67

Keywords: device modeling, MOSFET, quantum effects, SPICE

The eigenfunctions from solutions of the Schrödinger equation for a triangular potential well are the Airy functions. The triangular potential approximation has been shown to be a good approximation for the charge density when the MOS device is in depletion or weak inversion. However, the approach has not had comparable success in approximating the inversion charge density when the device is at strong inversion (see Stern [1] and Moglestue [2]). In this paper we continue to use the triangular potential to estimate the inversion charge, but we use asymptotic solutions of the Poisson equation for the MOS device at strong inversion. The electrostatic potential asymptotic expression is given in [3], which was improved in [4]. Our analytical Schrödinger-Poisson (SP) result is compared with the Bohm potential [5] or Density-Gradient (DG) solutions [6, 7] and Hansch quantum models [8]. Our SP analytical model gives a close approximation to the full numerical inversion charge density simulation results of the DG model (see Figure 1).

ISBN: 0-9767985-2-2
Pages: 786
Hardcopy: $109.95

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