Skip to main content
SpringerLink
Log in

Electron charge ordering in the extended Hubbard model

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

The Hubbard model on 3-dimensionalsc lattice with an attractive or repulsive on site interaction, augmented by a renulsive nearest neighbour interaction and its atomic limit are studied using the method of infrared bounds. Conditions upon interactions for the existence of a temperature driven phase transition to so called charge ordered phase are derived. A lower bound in terms of interactions for the corresponding critical temperature is calculated.

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. Herring, C.: Exchange interactions among itinerant electrons in magnetism, Vol. IV, Rado, G., Suhl, H. (eds.), pp. 120–140. New York, London: Academic Press, 1966

    Google Scholar 

  2. Adler, D.: Rev. Mod. Phys.40, 714 (1968)

    Article  ADS  Google Scholar 

  3. Gutzwiller, M.C.: Phys. Rev. Lett.10, 159 (1963)

    Article  ADS  Google Scholar 

  4. Hubbard, J.: Proc. R. Soc. London Ser. A276, 238 (1963)

    Article  ADS  Google Scholar 

  5. Cyrot, M.: Physica91B, 141 (1977)

    Google Scholar 

  6. Epstein, A.J., Etemad, E., Garito, A.F., Heeger, A.J.: Phys. Rev. B5, 952 (1972)

    Article  ADS  Google Scholar 

  7. Bari, R.A.: Phys. Rev. B3, 2662 (1971)

    Article  ADS  Google Scholar 

  8. Fröhlich, J., Simon, B., Spencer, T.: Commun. Math. Phys.50, 79 (1976)

    Article  ADS  Google Scholar 

  9. Fröhlich, J., Israel, R., Lieb, E.H., Simon, B.: Commun. Math. Phys.62, 1 (1978)

    Article  ADS  Google Scholar 

  10. Fröhlich, J., Israel, R.B., Lieb, E.H., Simon, B.: J. Stat. Phys.22, 297 (1980)

    Article  ADS  Google Scholar 

  11. Dyson, F.J., Lieb, E.H., Simon, B.: J. Stat. Phys.18, 335 (1978)

    Article  MathSciNet  ADS  Google Scholar 

  12. Ruelle, D.: Statistical mechanics. New York, Amsterdam: Benjamin, 1969

    MATH  Google Scholar 

  13. Robaszkiewicz, S.: Phys. Status Solidi (b)59, K63 (1973)

    Google Scholar 

  14. Chaikin, P., Garito, A.F., Heeger, A.J.: Phys. Rev. B5, 4966 (1972)

    Article  ADS  Google Scholar 

  15. Pincus, P.: Solid State Commun.11, 51 (1972)

    Article  ADS  Google Scholar 

  16. Ionov, S.P., Lubimov, V.S., Ioneva, G.V., Uimin, G.V., Makasov, E.F.: Phys. Status Solidi72, 515 (1975)

    Google Scholar 

  17. Brouers, F.: J. Phys. F7, L87 (1977)

    Article  ADS  Google Scholar 

  18. Robaszkiewicz, S., Micnas, R., Chao, K.A.: Phys. Rev. B23, 1447 (1981)

    Article  ADS  Google Scholar 

  19. Watson, G.N.: Q. J. Math.10, 266 (1939)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Theoretical Physics, University of Wrocław, Cybulskiego 36, PL-50-205, Wrocław, Poland

    Janusz Jędrzejewski

Authors
  1. Janusz Jędrzejewski
    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

Jędrzejewski, J. Electron charge ordering in the extended Hubbard model. Z. Physik B - Condensed Matter 48, 219–225 (1982). https://doi.org/10.1007/BF01420583

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01420583

Keywords

Search

Navigation