Spectral element method for the Schrödinger-Poisson system

Journal Article (Journal Article)

A novel fast Spectral Element Method (SEM) with spectral accuracy for the self-consistent solution of the Schrödinger-Poisson system has been developed for the simulation of semiconductor nanodevices. The field variables in Schrödinger and Poisson equations are represented by high-order Gauss-Lobatto-Legendre (GLL) polynomials, and the stiffness and mass matrices of the system are obtained by GLL quadrature to achieve spectral accuracy. A diagonal mass matrix is obtained in the Schrödinger equation solver, and a regular eigenvalue solver can be used to find the eigenenergy. The predictor-corrector algorithm is applied to further improve the efficiency. The SEM allows arbitrary potential-energy and charge distributions. It can achieve high accuracy with an extremely low sampling density, thus significantly reducing the computer-memory requirements and lowering the computational time in comparison with conventional methods. Numerical results confirm the spectral accuracy and significant efficiency of this method, and indicate that the SEM is a highly efficient alternative method for semiconductor nanodevice simulation. © Springer Science + Business Media, Inc. 2004.

Full Text

Duke Authors

Cited Authors

  • Cheng, C; Liu, QH; Lee, JH; Massoud, HZ

Published Date

  • October 1, 2004

Published In

Volume / Issue

  • 3 / 3-4

Start / End Page

  • 417 - 421

International Standard Serial Number (ISSN)

  • 1569-8025

Digital Object Identifier (DOI)

  • 10.1007/s10825-004-7088-z

Citation Source

  • Scopus