Chin. J. Semicond. > 2005, Volume 26 > Issue 12 > 2344-2349

PAPERS

A Broyden Method for Self-Consistent Solution of Schrdinger and Poisson Equations

Sun Lin, Yang Wenwei, Xiang Cailan, Yu Zhiping and Tian Lilin

+ Author Affiliations

PDF

Abstract: A Broyden method,which has been used in the device simulation domain,is described and used to self-consistently solve the electron density and electric potential of a 1D semiconductor quantum line.Results are compared to those obtained by the SOR method (Newton method).The convergence rates of these two methods are also compared.The Broyden method yields an accurate results using fewer iteration steps.Thus the Broyden method can greatly accelerate the process of solving Schrodinger and Poisson nonlinear equation systems.

Key words: Broyden methodSchrodinger equationPoisson equationself-consistent solution

  • Search

    Advanced Search >>

    GET CITATION

    shu

    Export: BibTex EndNote

    Article Metrics

    Article views: 3238 Times PDF downloads: 2521 Times Cited by: 0 Times

    History

    Received: 19 August 2015 Revised: Online: Published: 01 December 2005

    Catalog

      Email This Article

      User name:
      Email:*请输入正确邮箱
      Code:*验证码错误
      Sun Lin, Yang Wenwei, Xiang Cailan, Yu Zhiping, Tian Lilin. A Broyden Method for Self-Consistent Solution of Schrdinger and Poisson Equations[J]. Journal of Semiconductors, 2005, 26(12): 2344-2349. ****Sun L, Yang W W, Xiang C L, Yu Z P, Tian L L. A Broyden Method for Self-Consistent Solution of Schrdinger and Poisson Equations[J]. Chin. J. Semicond., 2005, 26(12): 2344.
      Citation:
      Sun Lin, Yang Wenwei, Xiang Cailan, Yu Zhiping, Tian Lilin. A Broyden Method for Self-Consistent Solution of Schrdinger and Poisson Equations[J]. Journal of Semiconductors, 2005, 26(12): 2344-2349. ****
      Sun L, Yang W W, Xiang C L, Yu Z P, Tian L L. A Broyden Method for Self-Consistent Solution of Schrdinger and Poisson Equations[J]. Chin. J. Semicond., 2005, 26(12): 2344.

      A Broyden Method for Self-Consistent Solution of Schrdinger and Poisson Equations

      • Received Date: 2015-08-19

      Catalog

        /

        DownLoad:  Full-Size Img  PowerPoint
        Return
        Return