Adaptive time discretization for a transient quantum drift-diffusion model

Abstract

This paper describes a numerical method for a time-dependent quantum drift-diffusion model with emphasis on adaptive time discretization. The adaptive time step algorithm is proposed by introducing the derivative of the free energy of the system. The algorithm is evaluated for carrier transport simulations in n+-n-n+ structures. The new algorithm significantly reduces the total number of time step required to reach the stationary state.