Patent ID: 6681201
Filing Date: 2004-01-20
Classification: G06F

Abstract:
A simulation method of a breakdown, characterized in that the method comprises steps of:calculating an electric field distribution by means of a drift diffusion model; taking out a one-dimensional electric field distribution from a result of the calculation; providing the electric field distribution which was taken out to a one-dimensional Monte Carlo device simulation, calculating a distribution of impact ionization coefficients, and calculating Gn(x) using an equation 1 to an equation 5 described below G1&it;â€ƒ&it;(x)=1q&it;â€ƒ&it;in0&CenterDot;Î±n,(x0)&it;â€ƒ&it;(x)+1q&it;â€ƒ&it;ip0&CenterDot;Î±p,(xÏ‰)&it;â€ƒ&it;(x)+&Integral;x0xÏ‰&it;G0&it;â€ƒ&it;(xâ€²)&it;â€ƒ&it;Î±n,(xâ€²)&it;â€ƒ&it;(x)&it;â€ƒ&it;&dd;xâ€²+&Integral;x0xÏ‰&it;G0&it;â€ƒ&it;(xâ€²)&it;â€ƒ&it;Î±p,(xâ€²)&it;â€ƒ&it;(x)&it;â€ƒ&it;&dd;xâ€²[Eq.â€ƒ&it;1]G2&it;â€ƒ&it;(x)=&Integral;x0xÏ‰&it;G1&it;â€ƒ&it;(xâ€²)&it;â€ƒ&it;Î±n,(xâ€²)&it;â€ƒ&it;(x)&it;â€ƒ&it;&dd;xâ€²+&Integral;x0xÏ‰&it;G1&it;â€ƒ&it;(xâ€²)&it;â€ƒ&it;Î±p,(xâ€²)&it;â€ƒ&it;(x)&it;â€ƒ&it;&dd;xâ€²[Eq.â€ƒ&it;2]Gn+1&it;â€ƒ&it;(x)=&Integral;x0xÏ‰&it;Gn&it;â€ƒ&it;(xâ€²)&it;â€ƒ&it;Î±n,(xâ€²)&it;â€ƒ&it;(x)&it;â€ƒ&it;&dd;xâ€²+&Integral;x0xÏ‰&it;Gn&it;â€ƒ&it;(xâ€²)&it;â€ƒ&it;Î±p,(xâ€²)&it;â€ƒ&it;(x)&it;â€ƒ&it;&dd;xâ€²[Eq.â€ƒ&it;3]&Integral;x0xÏ‰&it;Gn&it;â€ƒ&it;(xâ€²)&it;â€ƒ&it;Î±n,(xâ€²)&it;â€ƒ&it;(x)&it;â€ƒ&it;&dd;xâ€²[Eq.â€ƒ&it;4]&Sum;i=1N&it;â€ƒ&it;Gn&it;â€ƒ&it;(xi)&it;â€ƒ&it;Î±n,(xi)&it;â€ƒ&it;(x)&it;â€ƒ&it;Î”&it;â€ƒ&it;xi[Eq.â€ƒ&it;5]determining that a breakdown does not occur in case that, as a result of this calculation, as n becomes to be large, Gn(x) converges to a constant value, and calculating final electric current density; anddetermining that a breakdown occurs in case that Gn(x) becomes to be large as n increases.