NUMERICAL STUDY OF TRANSIENT WIGNER-POISSON MODEL FOR RTDs: NUMERICAL METHOD AND ITS APPLICATIONS.

The system of transient Wigner-Poisson equations (TWPEs) is a common model to describe carrier transport in quantum devices. In this paper, we design a second-order semiimplicit time integration scheme for TWPEs with the inflow boundary conditions, and a hybrid sinc-Galerkin/finite-difference method [H. Jiang, T. Lu, and W. Zhang, J. Comput. Appl. Math., 409 (2022), 114152] is applied for the spatial discretization. The fully-discretized system is rigorously proved to be unconditionally L²-stable, and the computational cost is comparable with that of the second-order explicit Runge-Kutta scheme (ERK2). The numerical method is applied to study a double-barrier resonant tunneling diode (RTD), where representative characteristics of RTDs, including the resonant tunneling effect, bistability and the intrinsic high-frequency current oscillation, are simulated successfully. [ABSTRACT FROM AUTHOR]