Skip to main content
SpringerLink
Log in

Generalized self-consistent integral equations for magnetic impurities

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

The simplest system of integral equations resulting from self-consistent perturbation techniques applied to a generalized Anderson-model is known to give rise to certain mathematical pathologies. In the local moment limit, it is shown that the system improperly takes account of the physical situation of two competing scattering channels. A generalized system, free of this defect, is derived. It differs from dispersion relations by unusual nonlinear terms, and also from parquet-equations.

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. Mühlschlegel, B.: Z. Phys.208, 94 (1968)

    Google Scholar 

  2. Coqblin, B., Schrieffer, J.R.: Phys. Rev.185, 847 (1969)

    Google Scholar 

  3. Schrieffer, J.R., Wolff, P.A.: Phys. Rev.149, 431 (1966)

    Google Scholar 

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

    Google Scholar 

  5. Wilson, K.G.: Rev. Mod. Phys.47, 773 (1975)

    Google Scholar 

  6. Andrei, N., Furuya, K., Lowenstein, J.H.: Rev. Mod. Phys.55, 331 (1983)

    Google Scholar 

  7. Krishna-Murthy, H.R., Wilkins, J.W., Wilson, K.G.: Phys. Rev. B21, 1003, 1044 (1980)

    Google Scholar 

  8. Wiegmann, P.B., Tsvelik, A.M.: J. Phys. C16, 2281, 2321 (1983)

    Google Scholar 

  9. Tsvelik, A.M., Wiegmann, P.B.: Adv. Phys.32, 453 (1983)

    Google Scholar 

  10. Schlottmann, P.: In: Proceedings of the 1984 Cologne Conference on mixed valence. J. Magn. Magn. Mater. (in press)

  11. Keiter, H., Kimball, J.C.: Phys. Rev. Lett.25, 672 (1970); Int. J. Magn.1, 1460 (1970)

    Google Scholar 

  12. Grewe, N., Keiter, H.: Phys. Rev. B24, 4420 (1981)

    Google Scholar 

  13. Keiter, H.: Z. Phys. B — Condensed Matter49, 209 (1982)

    Google Scholar 

  14. Keiter, H., Czycholl, G.: J. Magn. Magn. Matter.31–34, 477 (1983)

    Google Scholar 

  15. Kuramoto, Y., J. Magn. Magn. Mater.,31–34, 463 (1983); Z. Phys. B — Condensed Matter53, 37 (1983)

    Google Scholar 

  16. Grewe, N.: Z. Phys. B — Condensed Matter53, 271 (1983)

    Google Scholar 

  17. Coleman, P.: Phys. Rev. B29, 3035 (1981)

    Google Scholar 

  18. Zhang, F.C., Lee, T.K.: J. Appl. Phys.55, 1936 (1984)

    Google Scholar 

  19. Keiter, H., Morandi, G.: Phys. Rep.109, 227 (1984)

    Google Scholar 

  20. Ingaki, S.: Prog. Theor. Phys.62, 1441 (1979)

    Google Scholar 

  21. Zhang, F.C., Lee, T.K.: Phys. Rev. B30, 1556 (1984)

    Google Scholar 

  22. Kojima, H., Kuramoto, Y., Tachiki, M.: Z. Phys. B — Condensed Matter54, 293 (1984)

    Google Scholar 

  23. Bickers, N.E., Cox, D.L., Wilkins, J.W.: Phys. Rev. Lett.54, 32 (1985)

    Google Scholar 

  24. Müller-Hartmann, E.: Z. Phys. B — Condensed Matter57, 281 (1984)

    Google Scholar 

  25. Roulet, B., Gavoret, J., Noziéres, P.: Phys. Rev.178, 1072, 1084 (1969)

    Google Scholar 

  26. Noziéres, P., De Dominicis, C.T.: Phys. Rev.178, 1097 (1969)

    Google Scholar 

  27. Suhl, H.: In: Rendiconti della Scuola Internazionale di Fisica Enrico Fermi (1966) Corso XXXVII. London: Academic Press 1967

    Google Scholar 

  28. Czycholl, G., Keiter, H., Niebur, E.: In: Valance instabilities. Wachter, P., Boppard, H. (eds.). Amsterdam: North-Holland 1982

    Google Scholar 

  29. Mahan, G.D.: Many-particle physics. New York: Plenum Press 1981

    Google Scholar 

  30. Brandt, U., Keiter, H., Fu-Sui: Z. Phys B — Condensed Matter58, 267 (1985)

    Google Scholar 

  31. Czycholl, G.: Phys. Rev. B31, 2867 (1985)

    Google Scholar 

  32. Keiter, H.: (to be published)

Download references

Author information

Author notes

  1. H. Keiter

    Present address: Institut für Physik, Universität Dortmund, Postfach 500500, D-4600, Dortmund 50, FRG

Authors and Affiliations

  1. Institute for Theoretical Physics, University of California, Santa Barbara, California, USA

    H. Keiter

Authors
  1. H. Keiter
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Dedicated to B. Mühlschlegel on the occasion of his 60th birthday

Rights and permissions

Reprints and permissions

About this article

Cite this article

Keiter, H. Generalized self-consistent integral equations for magnetic impurities. Z. Physik B - Condensed Matter 60, 337–343 (1985). https://doi.org/10.1007/BF01304453

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01304453

Keywords

Search

Navigation