Skip to main content
SpringerLink
Log in

Magnetic field dependent dielectric function for zero-gap semiconductors

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

Using the random phase approximation and the Yafet wave functions the inter and intraband static dielectric functions of degenerate zero-gap semiconductors placed in a magnetic field are calculated in the long wavelength limit.

It is shown that the values of the dielectric function for gapless semiconductors differ considerably from the result obtained previously for the one-band model with parabolic energy dispersion ands-type wave functions.

Finally the dielectric function is used to find the static screening of a point impurity charge.

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. Hebborn, J.E., March, N.H.: Adv. Phys.19, 175 (1970)

    Google Scholar 

  2. Liu, L., Mauser Tan: Phys. Rev. B9, 632 (1974)

    Google Scholar 

  3. Zawadzki, W.: In: New Developments in Semiconductors. Wallace, P.R., Harris, R., Zuckermann, M.J. (eds.). Leyden: Noordhoff International Publishing 1973

    Google Scholar 

  4. Yafet, Y.: Phys. Rev.115, 1172 (1959)

    Google Scholar 

  5. Yafet, Y.: Phys. Rev.152, 858 (1966)

    Google Scholar 

  6. Bowers, R., Yafet, Y.: Phys. Rev.115, 1165 (1959)

    Google Scholar 

  7. Eherenreich, H., Cohen, M.H.: Phys. Rev.115, 786 (1959)

    Google Scholar 

  8. Liu, L., Tosatti, E.: Phys. Rev. B2, 1926 (1970)

    Google Scholar 

  9. Horing, N.J.: Ann. Phys. (N.Y.)31, 1 (1965)

    Google Scholar 

  10. Krupski, J.: Phys. Status Solidi (B)100, 551 (1980)

    Google Scholar 

  11. Lindhard, J.: K. Dan. Vidensk. Selsk. Mat. Fys. Medd.28 (1954)

  12. Hebborn, J.E., March, N.H.: Proc. R. Soc. A280, 85 (1964)

    Google Scholar 

  13. Broerman, J.G., Liu, L., Pathak, K.N.: Phys. Rev. B4, 664 (1971)

    Google Scholar 

  14. Horing, N.J.: J. Phys. Soc. Jpn. Suppl.21, 704 (1966)

    Google Scholar 

  15. Horing, N.J.: Ann. Phys. (N.Y.)54, 405 (1969)

    Google Scholar 

  16. Horing, N.J.: Phys. Rev.186, 434 (1969)

    Google Scholar 

  17. Ono, Y., Hajdu, J.: Z. Phys. B—Condensed Matter33, 61 (1979)

    Google Scholar 

  18. Heift, K.: Doktorarbeit, Köln (1981)

  19. Heift, K., Ono, Y.: (to be published)

  20. Hajdu, J.: Proc. Int. Conf. on the Appl. of High Magnetic Fields in Semicond. Phys. Würzburg 1974, Vol. 2, p. 111

  21. Hajdu, J.: In: Theoretical Aspects and New Developments in Magneto-Optics. Devreese, J. (ed.). New York, London: Plenum Press 1981

    Google Scholar 

  22. Narrow Gap Semiconductor Physics and Applications. Zawadzki, W. (ed.) Berlin, Heidelberg, New York: Springer-Verlag 1981

    Google Scholar 

Download references

Author information

Author notes

  1. J. Krupski

    Present address: Institut Fizyki Teoretycznej, Uniwersytet Warszawski, ul. Hoza 69, PL-00-681, Warszawa, Poland

Authors and Affiliations

  1. Institut für Theoretische Physik, Universität zu Köln, Germany

    J. Krupski

Authors
  1. J. Krupski
    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

Krupski, J. Magnetic field dependent dielectric function for zero-gap semiconductors. Z. Physik B - Condensed Matter 43, 111–117 (1981). https://doi.org/10.1007/BF01293603

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01293603

Keywords

Search

Navigation