Analytical Modeling of Gate-Stack DG-MOSFET in Subthreshold Regime by Green’s Function Approach

Abstract

An accurate analytical model of the gate-stack symmetric double-gate (DG) MOSFET using Green's function approach is developed in this brief. An exact analytical solution to 2-D Poisson's equation is derived in the subthreshold regime of operation, considering 2-D mixed boundary conditions and multizone techniques. It is observed that the Green's function approach of solving 2-D Poisson's equation in both oxides (t <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">ox1</sub> and t <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">ox2</sub> ) and silicon region can accurately predict channel potential and subthreshold current (I <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">sub</sub> ) of gate-stack DG-MOSFET. We further extend our model to mitigate the fringe-induced barrier lowering (FIBL) effect in the gate-stack device, by optimizing the interfacial layer thickness. It is observed that selection of interfacial SiO <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> layer as ~0.75 times of equivalent oxide thickness is necessary to completely mitigate the FIB' effect of SiO <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> -HfO <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> -based gate-stack DG-MOSFET.