Skip to main content
SpringerLink
Log in

Splitting-Scheme Solution of the Collisionless Wigner Equation with Non-Parabolic Band Profile

  • Published:
Journal of Computational Electronics Aims and scope Submit manuscript

Abstract

In this work, we present a numerical application of a recently developed transport model for semiconductors, based on the Wigner-function approach and allowing for non-parabolic band profiles. We consider the collisionless, single-band time evolution of the Wigner function under the action of a constant external field, in presence of a band profile exhibiting a satellite valley, besides the minimum at the center of the Brillouin zone (similar to the band profile of GaAs). The transport equation is solved by the Splitting-Scheme algorithm, which is the most efficient method for solving the corresponding classical Vlasov equation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. W.R. Frensley, Rev. Modern Phys., 62, 745 (1990).

    Google Scholar 

  2. C. Jacoboni, R. Brunetti, P. Bordone, and A. Bertoni, in Topics in High Field Transport in Semiconductors, edited by K. Brennan and P. Paul Ruden (World Scientific, Singapore, 2001), p. 25.

    Google Scholar 

  3. L. Demeio, L. Barletti, A. Bertoni, P. Bordone, and C. Jacoboni, Physica B, 314, 104 (2002).

    Google Scholar 

  4. L. Demeio, P. Bordone, and C. Jacoboni, “Multi-band, nonparabolic Wigner-function approach to electron transport in semiconductors, ” Internal Report, Quaderno N. 3/2003 (Dipartimento di Scienze Matematiche, Università Politecnica delle Marche, April 2003, submitted to the J. of Stat. Phys.).

  5. G. Borgioli, G. Frosali, and P.F. Zweifel, in Proc. XVII International Conference on Transport Theory, London, July 2001, in Transport Theory Stat. Phys. (in press).

  6. E. Wigner, Phys. Rev., 40, 749 (1932).

    Google Scholar 

  7. P.A. Markowich, C.A. Ringhofer, and C. Schmeiser, Semiconductor Equations (Springer-Verlag, Wien, 1990).

    Google Scholar 

  8. P.A. Markowich, N.J. Mauser, and F. Poupaud, J. Math. Phys., 35, 1066 (1994).

    Google Scholar 

  9. C.G. Cheng and G. Knorr, J. Computat. Phys., 22, 330 (1976).

    Google Scholar 

  10. A. Arnold and C. Ringhofer, SIAM J. of Num. Anal., 32, 1876 (1995).

    Google Scholar 

  11. A. Arnold and C. Ringhofer, SIAM J. of Num. Anal., 33, 1622 (1996).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dipartimento di Scienze Matematiche, Università Politecnica delle Marche, Via Brecce Bianche 1, 60131, Ancona, Italy

    Lucio Demeio

Authors
  1. Lucio Demeio
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Demeio, L. Splitting-Scheme Solution of the Collisionless Wigner Equation with Non-Parabolic Band Profile. Journal of Computational Electronics 2, 313–316 (2003). https://doi.org/10.1023/B:JCEL.0000011444.05793.d1

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:JCEL.0000011444.05793.d1

Search

Navigation