Skip to main content
Log in

A stochastic approach to hopping transport in semiconductors

  • Articles
  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

Generalized charge carrier equations for hopping transport in semiconductors are derived which include also the widely used Van Roosbroeck equations. The approach is based on a microscopic stochastic interacting particle system which models the hopping of electrons on a random set of states.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. W. Fichtner and D. Rose, eds.IEEE Trans. Electron. Devices ED-30 (1983).

  2. H. K. Henisch,Phil. Mag. B 52(3):379–389 (1985).

    Article  Google Scholar 

  3. N. Ikeda and S. Watanabe,Stochastic Differential Equations and Diffusion Processes. (North-Holland, Amsterdam, 1981).

    MATH  Google Scholar 

  4. J. Jacod and A. N. Shirjajew,Limit Theorems for Stochastic Processes (Springer, 1987).

  5. T. Liggett,Interacting Particle Systems (Springer, 1985).

  6. A. Miller and B. Abrahams,Phys. Rev. 120:745 (1960).

    Article  ADS  MATH  Google Scholar 

  7. N. F. Mott,Non-crystall. Solids 11 (1968).

  8. N. F. Mott,Phil. Mag. B 19:835 (1969).

    Article  Google Scholar 

  9. G. Pfister and H. Scher,Phys. Rev. B 15:2062 (1977).

    Article  ADS  Google Scholar 

  10. E. Platen, A law of large numbers for wide range exclusion processes in random media,Stoch Proc. Appl., to appear.

  11. E. Platen, A. Liemant, L. Brehmer, I. Mueller, and W. Wagner, A stochastic approach to electronic charge transport in ordered and disordered semiconducting materials, Preprint P-Math-08/88, AdW der DDR, Berlin.

  12. F. W. Schmidlin,Phys. Rev. B 16:2362 (1977).

    Article  ADS  Google Scholar 

  13. W. Van Roosbroeck,Bell Syst. Tech. J. 29:560–607 (1950).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Platen, E. A stochastic approach to hopping transport in semiconductors. J Stat Phys 59, 1329–1353 (1990). https://doi.org/10.1007/BF01334754

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01334754

Key words

Navigation