Analytical solution of nonlinear Poisson equation for symmetric double-gate metal-oxide-semiconductor field effect transistors

Shih Ching Lo, Yi-Ming Li*, Shao Ming Yu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

In this paper, an analytical solution of the Poisson equation for double-gate metal-semiconductor-oxide field effect transistor (MOSFET) is presented, where explicit surface potential is derived so that the whole solution is fully analytical. Based on approximations of potential distribution, our solution scheme successfully takes the effect of doping concentration in each region. It provides an accurate description for partially and fully depleted MOSFET devices in different regions of operation. Comparison with numerical data shows that the solution gives good approximations of potential for MOSFETs under different biases and geometry configurations. The solution can be applied to estimate classical and quantum electron density of nanoscale double-gate MOSFETs.

Original languageAmerican English
Pages (from-to)180-188
Number of pages9
JournalMathematical and Computer Modelling
Volume46
Issue number1-2
DOIs
StatePublished - Jul 2007

Keywords

  • Analytical solution
  • Double-gate MOSFET
  • Poisson equation
  • Surface potential

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