Skip to main content
Log in

Susceptibility and specific heat of intermediate valence compounds studied in mean-field theory of a periodic anderson model

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

The periodic Anderson model for a lattice of magnetic ions is investigated in Hartree-Fock approximation. Attention is paid to different solutions of the self-consistency equations corresponding to ferromagnetic or antiferromagnetic ordering of the local magnetic moments. The effect of hybridization leading to reduced magnetic moments strongly depends on the position of the localizedf levels relative to the conduction band. For paramagnetic solutions with a non-integer value for thef level occupation number comparison is made with properties of intermediate valence rare earth compounds. The mean-field results for the susceptibility and specific heat agree with essential features found for these substances.

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. For a review see: Wohlleben, D.: Journ. de Phys. Coll C4, 231 (1976); Varma, C.M.: Rev. Mod. Phys.48, 219 (1976)

    Google Scholar 

  2. Wohlleben, D., Coles, B.R.: Magnetism V, p. 3. New York: Academic Press 1973

    Google Scholar 

  3. Krishna-murthy, H.R., Wilson, K.G., Wilkins, J.W.: Phys. Rev. Lett.35, 1101 (1975); and in: Valence Instabilities and Related Narrow Band Phenomena, p. 177. New York: Plenum Press 1977

    Google Scholar 

  4. Jefferson, J.H., Stevens, K.W.H.: J. Phys. C9, 2151 (1976)

    Google Scholar 

  5. Varma, C.M., Yafet, Y.: Phys. Rev. B13, 2950 (1976)

    Google Scholar 

  6. Bringer, A.: J. Magn. and Mag. Mat.3, 84 (1976)

    Google Scholar 

  7. Bringer, A., Lustfeld, H.: Z. Physik B28, 213 (1977)

    Google Scholar 

  8. Anderson, P.W.: Phys. Rev.124, 41 (1961)

    Google Scholar 

  9. Møller, H.B., Shapiro, S.M., Birgeneau, R.J.: Phys. Rev. Lett39, 1021 (1977)

    Google Scholar 

  10. This is in contradiction to Kanda, K., Machida, K., Matsubara, T.: Solid State Commun.19, 651 (1976) and Avignon, M., Ghatak, S.K.: Solid State Commun.16, 1243 (1975), who investigated hybridization effects on the Falicov-Kimball model in an analogous mean-field approximation. This point will be discussed in detail in a forthcoming paper

    Google Scholar 

  11. Falicov, L.M., Goncalves da Silva, C.E.T.: Phys. Rev. Lett.26, 715 (1971)

    Google Scholar 

  12. Goncalves da Silva, C.E.T., Falicov, L.M.: J. Phys. C5, 63 (1972)

    Google Scholar 

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

    Google Scholar 

  14. Chao, K.A.: Solid State Commun.22, 737 (1977), and references cited therein

    Google Scholar 

  15. Smith, D.A.: J. Phys. C1, 1263 (1968)

    Google Scholar 

  16. Leder, H.J.: Thesis, Universität Köln (1977), unpublished

  17. Fedders, P.A., Martin, P.C.: Phys. Rev.143, 245 (1966)

    Google Scholar 

  18. Havinga, E.E., Buschov, K.S.J., Van Daal, H.J.: Solid State Commun.13, 621 (1973)

    Google Scholar 

  19. Mühlschlegel, B. in: Proceedings Nato Adv. Study Institute on Path Integrals. Antwerpen (1977), ed. J.T. Devreese, to be published by Plenum Press, New York

    Google Scholar 

  20. Haldane, F.D.M.: Phys. Rev. B15, 281 (1977); Phys. Rev. B15, 2477 (1977)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Work performed within the research program of the Sonderforschungsbereich 125 Aachen-Jülich-Köln

Rights and permissions

Reprints and permissions

About this article

Cite this article

Leder, H.J., Mühlschlegel, B. Susceptibility and specific heat of intermediate valence compounds studied in mean-field theory of a periodic anderson model. Z Physik B 29, 341–347 (1978). https://doi.org/10.1007/BF01324031

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01324031

Keywords

Navigation