Patent ID: 6553339
Filing Date: 2003-04-22
Classification: G06F

Abstract:
A MOSFET simulation method for calculating a characteristic value of a MOSFET to be simulated, comprising the steps of:(a) inputting simulation conditions including various physical and operational parameters of said MOSFET, said physical parameters including an impurity concentration N of said MOSFET and said operational parameters including a temperature T, a vertical electric field Ev, and a substrate voltage Vb ascribed to said MOSFET; (b) numerically calculating an electric potential &psgr;, an electron density n, a hole density p, and carrier mobility &mgr; inside said MOSFET from initial values thereof and said simulation conditions, and (c) using said electric potential &psgr;, said electron density n, said hole density p, and said carrier mobility &mgr; to determine said characteristic value, wherein step (b) comprises calculating said carrier mobility &mgr; from the following equation: &mgr;(N, T, Ev, Vb)=&mgr;0(N, T, Ev)+&mgr;1(Vb); and wherein step (b) further comprises calculating said electric potential &psgr;, said electron density n, said hole density p using said carrier mobility &mgr; by solving the following system of simultaneous equations: Poisson's equation, div(âˆ’&egr;grad(&psgr;))=q(pâˆ’n+Ndâˆ’Na), Equation of continuity of electrons, div(Jn)=q(Râˆ’G), Equation of continuity of holes, div(Jp)=âˆ’q(Râˆ’G), Electron transport equation, Jn=âˆ’q*(&mgr;n*n*grad(&psgr;)âˆ’Dn*grad(n)), and Hole transport equation, Jp=âˆ’q*(&mgr;p*p*grad(&psgr;)+Dp*grad(p)), where &egr; is a permittivity of a medium, Nd is a donor density, Na is an acceptor density, R is a carrier re-coupling amount, G is a carrier generation amount, &mgr;n is an electron mobility, &mgr;p is a hole mobility, Dn is an electron diffusion coefficient, Dp is a hole diffusion coefficient, Jn is an electron current density, Jp is a hole current density, and q is a unit electric charge.