One-Dimensional Corrected Drift-Diffusion Model: McKelvey's Method Extended with Accelerated-Multi-Flux

By introducing accelerated-multi-flux into McKelvey's one-flux method, we have developed a novel macroscopic carrier transport model in one-dimensional steady-state. The developed model, referred to as "Corrected Drift-Diffusion Model", takes into account both velocity overshoot and ballistic transport of carriers. It is revealed that introducing accelerated-multi-flux under two fundamental hypotheses requires a conventional drift-diffusion model to be corrected only with additional carrier concentration calculation. Numerical calculation for one-dimensional n+-n-n+ structure demonstrates that the additional carrier concentration calculation substantially affects self-consistent electrostatics.