A Deterministic Solution of the Wigner Transport Equation with Infinite Correlation Length

Abstract

We propose a new formulation of the Wigner transport equation with infinite correlation length. Since the maximum correlation length is not limited to a finite value, there is no uncertainty in the simulation results owing to the finite integral range of the nonlocal potential term. For general and efficient simulation, the WTE is solved self-consistently with the Poisson equation through the finite volume method and the fully coupled Newton-Raphson scheme. Through this, we implemented a quantum transport steady state and transient simulator with excellent convergence.