Skip to main content
Log in

Bethe-Ansatz solution of a model for a mixed valent impurity with two magnetic configurations: Groundstate and thermodynamics

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

We consider a mixed valence impurity with two magnetic configurations of spinJ 2 andJ 1=J 2±1/2, respectively, coupled bys-wave conduction electrons via a hybridization matrix element. The model contains theU→∞ limit of the non-degenerate Anderson model and the Kondo exchange Hamiltonian for arbitrary spin as special cases. The model is solved by Bethe's ansatz and the groundstate and the thermodynamic properties are discussed. The Kondo limit and the highT perturbation expansion are extracted from the thermodynamic Bethe-ansatz equations. The ground state is magnetic if neitherJ 1 norJ 2 is a singlet.

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. Andrei, N.: Phys. Rev. Lett.45, 379 (1980)

    Google Scholar 

  2. Vigman, P.B.: Pis'ma Zh. Eksp. Teor. Fiz.31, 392 (1980); JETP Lett.31, 364 (1980)

    Google Scholar 

  3. Fateev, V.A., Wiegmann, P.B.: Phys. Lett.81A, 179 (1981)

    Google Scholar 

  4. Tsvelick, A.M., Wiegmann, P.B.: J. Phys. C15, 1707 (1982)

    Google Scholar 

  5. Wiegmann, P.B.: Phys. Lett.80A, 163 (1980)

    Google Scholar 

  6. Schlottmann, P.: Z. Phys. B-Condensed Matter49, 109 (1982)

    Google Scholar 

  7. Schlottmann, P.: In: Valence instabilities. Wachter, P., Boppart, H. (eds.), p. 471. Amsterdam: North-Holland 1982

    Google Scholar 

  8. Proetto, C.R., Aligia, A.A., Balseiro, C.A.: Phys. Lett.107A, 93 (1985)

    Google Scholar 

  9. Yang, C.N.: Phys. Rev. Lett.19, 1312 (1967)

    Google Scholar 

  10. Tsvelick, A.M., Wiegmann, P.B.: Adv. in Phys.32, 453 (1983)

    Google Scholar 

  11. Gaudin, M.: Phys. Lett.24A, 55 (1967)

    Google Scholar 

  12. Schlottmann, P.: Z. Phys. B-Condensed Matter51, 49 (1983)

    Google Scholar 

  13. Schlottmann, P.: Phys. Rev. Lett.50, 1697 (1983)

    Google Scholar 

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

    Google Scholar 

  15. Schlottmann, P.: Z. Phys. B-Condensed Matter52, 127 (1983)

    Google Scholar 

  16. Takahashi, M.: Prog. Theor. Phys.46, 1388 (1971)

    Google Scholar 

  17. Fateev, V.A., Wiegmann, P.B.: Phys. Rev. Lett.46, 356 (1981)

    Google Scholar 

  18. Schlottmann, P.: Z. Phys. B-Condensed Matter56, 127 (1984)

    Google Scholar 

  19. Berger, A., Haen, P., Holtzberg, F., Lapierre, F., Mignot, J.M., Penney, T., Peña, O., Tournier, R.: J. Phys. (Paris)40, C5–364 (1979)

    Google Scholar 

  20. Holland-Moritz, E.: J. Magn. Magn. Mater.38, 253 (1983)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Heisenberg fellow of the Deutsche Forschungsgemeinschaft

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schlottmann, P. Bethe-Ansatz solution of a model for a mixed valent impurity with two magnetic configurations: Groundstate and thermodynamics. Z. Physik B - Condensed Matter 59, 391–400 (1985). https://doi.org/10.1007/BF01328847

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01328847

Keywords

Navigation