Skip to main content
SpringerLink
Log in

Hopping conductivity in granular systems

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

The model of variable-range hopping between microscopic localization centers in disordered semiconductors including Coulomb correlations is transferred to the mesoscopic situation of electron tunneling between small metal particles in granular materials. As a result we obtain for the temperature dependence of the dc conductivity well known formulas (Abeles, Mott) with certain limitations of their applicability. There is good agreement with existing experiments.

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. Abeles, B., Sheng, P., Coutts, M.D., Arie, Y.: Adv. Phys.24, 407 (1975)

    Google Scholar 

  2. van Haesendonck, C., Bruynseraede, Y.: Phys. Rev.B33, 1684 (1986)

    Google Scholar 

  3. Deutscher, G., Bandyopadhyay, B., Chui, T., Lindenfeld, P., McLean, W.L., Worthington, T.: Phys. Rev. Lett.44, 1150 (1980)

    Google Scholar 

  4. Localization, interaction and transport phenomena. Kramer, B., Bergmann, G., Bruynseraede, Y. eds.. Springer Series in Solid-State Sciences, Vol. 61. Berlin, Heidelberg, New York: Springer 1985

  5. Percolation, localization and superconductivity. Goldman, A.M., Wolf, S.A. (eds.). New York: Plenum Press 1984

    Google Scholar 

  6. Hauser, J.J.: Phys. Rev.B7, 4099 (1973)

    Google Scholar 

  7. Efros, A.L., Shklovskii, B.I.: J. Phys.C8, L49 (1975); and in: Electron-electron interaction in disordered systems. Efros A.L., Pollak, M. (eds.). Amsterdam, New York: North-Holland 1985

    Google Scholar 

  8. Entin-Wohlman, O., Gefen, Y., Shapira, Y.: J. Phys.C16, 1161 (1983)

    Google Scholar 

  9. Chui, T., Deutscher, G., Lindenfeld, P., McLean, W.L.: Phys. Rev.B23, 6172 (1981)

    Google Scholar 

  10. Mott, N.F., Davis, E.A.: Electronic properties of non-crystalline materials. Oxford: Oxford University Press 1979

    Google Scholar 

  11. Büttiker, M., Landauer, R.: Phys. Rev. Lett.49, 1742 (1982)

    Google Scholar 

  12. Glukhov, A.M., Fogel, Ya.N., Shablo, N.N.: Sov. Phys. Solid State28, 583 (1986)

    Google Scholar 

  13. Sheng, P., Klafter, J.: Phys. Rev.B27, 2583 (1983)

    Google Scholar 

  14. Mostefa, M., Olivier, G.: Solid State Commun.63, 219 (1987)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Theoretische Physik, Universität zu Köln, Zülpicher Strasse 77, D-5000, Köln, Germany

    R. Németh & B. Mühlschlegel

Authors
  1. R. Németh
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. Mühlschlegel
    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

Németh, R., Mühlschlegel, B. Hopping conductivity in granular systems. Z. Physik B - Condensed Matter 70, 159–162 (1988). https://doi.org/10.1007/BF01318293

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01318293

Keywords

Search

Navigation