A higher-order accurate operator splitting spectral method for the Wigner-Poisson system
Abstract
An accurate description of 2-D quantum transport in a double-gate metal oxide semiconductor filed effect transistor (dgMOSFET) requires a high-resolution solver to a coupled system of the 4-D Wigner equation and 2-D Poisson equation. In this paper, we propose an operator splitting spectral method to evolve such Wigner-Poisson system in 4-D phase space with high accuracy. After an operator splitting of the Wigner equation, the resulting two sub-equations can be solved analytically with spectral approximation in phase space. Meanwhile, we adopt a Chebyshev spectral method to solve the Poisson equation. Spectral convergence in phase space and a fourth-order accuracy in time are both numerically verified. Finally, we apply the proposed solver into simulating dgMOSFET, develop the steady states from long-time simulations and obtain numerically converged current-voltage (I-V) curves.
Cite
@article{arxiv.2106.00416,
title = {A higher-order accurate operator splitting spectral method for the Wigner-Poisson system},
author = {Zhenzhu Chen and Haiyan Jiang and Sihong Shao},
journal= {arXiv preprint arXiv:2106.00416},
year = {2022}
}
Comments
Submitted for publication on May 31, 2021 and accepted by Journal of Computational Electronics on May 6, 2022