Skip to main content

Current filaments and nonlinear oscillations in n-GaAs

  • Chapter
  • First Online:
Festkörperprobleme 30

Part of the book series: Advances in Solid State Physics ((ASSP,volume 30))

Abstract

Experimental investigations of nonlinear oscillations and the formation of current filaments due to impact ionization of shallow donors in n-GaAs at low temperatures are summarized. Measurements of the temporal and spatial structure of nonequilibrium current flow provided a concise microscopic basis of the observed regular, quasiperiodic, frequency-locked and chaotic current fluctuations.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. I. Esterman, A. Foner, and J.E. Zimmerman, Phys. Rev. 75, 1631 (1949)

    Article  Google Scholar 

  2. N. Sclar and E. Burstein, J. Phys. Chem. Solids 2, 1 (1957)

    Article  ADS  Google Scholar 

  3. S. H. Koenig, Phys. Rev. 110, 986 (1958)

    Article  ADS  Google Scholar 

  4. P.I. Oliver, Phys. Rev. 127, 1045 (1962)

    Article  ADS  Google Scholar 

  5. R.P. Khoshla, J.R. Fischer, and B.C. Burkey, Phys. Rev. B 7, 2551 (1973)

    Article  ADS  Google Scholar 

  6. Yu.L. Ivanov and S.M. Ryvkin, Soviet Phys.-Tech. 3, 722 (1958)

    Google Scholar 

  7. I. Melngailis and A. G. Milnes, J. Appl. Phys. 33, 995 (1962)

    Article  ADS  Google Scholar 

  8. A. Brandl, W. Kröninger, W. Prettl, and G. Obermair, Phys. Rev. Lett. 64, 212 (1990)

    Article  ADS  Google Scholar 

  9. P. T. Landsberg, Eur. J. Phys. 1, 31 (1980)

    Article  Google Scholar 

  10. E. Schöll: Nonequilibrium Phase Transitions in Semiconductors (Springer, Berlin, Heidelberg 1987)

    Google Scholar 

  11. H. Schuster: Deterministic Chaos (Physik-Verlag, Weinheim 1988)

    Google Scholar 

  12. R. Obermaier, W. Böhm, W. Prettl, and P. Dirnhofer, Phys. Lett. A 105, 149 (1984)

    Article  ADS  Google Scholar 

  13. M. Weispfenning, I. Hoeser, W. Böhm, W. Prettl, and E. Schöll, Phys. Rev. Lett. 55, 754 (1985)

    Article  ADS  Google Scholar 

  14. K. Aoki, T. Kobayashi, and K. Yamamoto, J. Phys. Soc. Jpn. 51, 2373 (1982)

    Article  ADS  Google Scholar 

  15. J. Peinke, A. Mühlbach, R. P. Huebener, and J. Parisi, Phys. Lett. A 108, 407 (1985)

    Article  ADS  Google Scholar 

  16. A. Brandl, T. Geisel, and W. Prettl, Europhys. Lett. 3, 401 (1987)

    Article  ADS  Google Scholar 

  17. S. W. Teitsworth, R. M. Westervelt, and E. E. Haller, Phys. Rev. Lett. 51, 825 (1983)

    Article  ADS  Google Scholar 

  18. G. A. Held, C. Jeffries, and E. E. Haller, Phys. Rev. Lett. 52, 1037 (1984)

    Article  ADS  Google Scholar 

  19. J. Peinke, J. Parisi, B. Röhricht, K. M. Mayer, U. Rau, and R. P. Huebener, Solid State Electronics 31, 817 (1988)

    Article  ADS  Google Scholar 

  20. J. Spangler, A. Brandl, and W. Prettl, Appl. Phys. A 48, 143 (1989)

    Article  ADS  Google Scholar 

  21. S. W. Teitsworth and R. M. Westervelt, Phys. Rev. Lett. 56, 516 (1986)

    Article  ADS  Google Scholar 

  22. G. A. Held and C. Jeffries, Phys. Rev. Lett. 56, 1183 (1986)

    Article  ADS  Google Scholar 

  23. E. G. Gwinn and R. M. Westervelt, Phys. Rev. Lett. 57, 1060 (1986)

    Article  ADS  Google Scholar 

  24. R. P. Beaulieu, D. V. Sulway, and C. D. Cox, Solid-State Electronics 16, 428 (1973)

    Article  ADS  Google Scholar 

  25. L. P. Zverev, G. M. Min'kov, and N. K. Sumin, Sov. Phys. Semicond. 8, 1457 (1975)

    Google Scholar 

  26. H. Baumann, T. Pioch, H. Dahmen, and D. Jäger, Scanning Electron Microscopy II, 441 (1986)

    Google Scholar 

  27. K. M. Mayer, R. Gross, J. Parisi, J. Peinke, and R. P. Huebener, Solid State Commun. 63, 55 (1987)

    Article  ADS  Google Scholar 

  28. A. Brandl, M. Völcker, and W. Prettl, Appl. Phys. Lett. 55, 238 (1989)

    Article  ADS  Google Scholar 

  29. P. Grassberger and I. Procaccia, Phys. Rev. Lett 50, 346 (1983)

    Article  ADS  MathSciNet  Google Scholar 

  30. U. Frank, A. Brandl, and W. Prettl, Solid State Commun. 69, 891 (1989)

    Article  ADS  Google Scholar 

  31. A. Brandl, M. Völcker, and W. Prettl, Solid State Commun. 72, 847 (1989)

    Article  ADS  Google Scholar 

  32. E. Schöll, Z. Phys. B 46, 23 (1982)

    Article  ADS  Google Scholar 

  33. E. Schöll, Phys. Rev. B 34, 1395 (1986)

    Article  ADS  Google Scholar 

  34. A. Brandl and W. Prettl, to be published.

    Google Scholar 

  35. U. Rau, J. Peinke, J. Parisi, R. P. Huebener, and E. Schöll, Phys. Lett. A 124, 335 (1987)

    Article  ADS  Google Scholar 

  36. K. Yamada, N. Takara, H. Imada, N. Miura, and C. Hamaguchi, Solid-State Electronics 31, 809 (1988)

    Article  ADS  Google Scholar 

  37. X. N. Song, D. G. Seiler, and M. R. Loloee, Appl. Phys. A 48, 137 (1989)

    Article  ADS  Google Scholar 

  38. K. Fujii, T. Ohyama, and E. Otsuka, Appl. Phys. A 48, 189 (1989)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Ulrich Rössler

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH

About this chapter

Cite this chapter

Brandl, A., Prettl, W. (1990). Current filaments and nonlinear oscillations in n-GaAs. In: Rössler, U. (eds) Festkörperprobleme 30. Advances in Solid State Physics, vol 30. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0108297

Download citation

  • DOI: https://doi.org/10.1007/BFb0108297

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-528-08038-9

  • Online ISBN: 978-3-540-75346-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics