A Variational Approach to the Two-Dimensional Nonlinear Poisson's Equation for the Modeling of Tunneling Transistors

In this letter, we report a new approach to treat the 2-D nonlinear Poisson's equation in the context of MOS devices and discuss its application in the modeling of tunneling field-effect transistors (T-FET). It is revealed that the narrowing of tunneling barrier in T-FET has different mechanisms before and after inversion layer is formed. Closed-form equation is obtained to describe the barrier narrowing in the presence of inversion layer.

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