Skip to main content
Log in

An exactly solvable impurity model

  • Original Contributions
  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

We present an integrable model describing the interaction of conduction electrons with an arbitrary number of spin-1/2 impurities in one-dimension. The solution of the model is obtained by means of the Bethe function in the case when the number of particles is not conserved. The impurity magnetization, the Kondo-limit, the specific-heat coefficient are calculated on the basis of the Bethe ansatz solution.

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. Wiegmann, P.B.: Sov. Phys.-JETP Lett.31, 392 (1980)

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  5. Schulz, H.: J. Phys. C20, 2375 (1987)

    Google Scholar 

  6. Karnaukhov, I.N.: J. Phys. G3, 2331 (1991); Zh. Eksp. Teor. Fis.100, 243 (1991)

    Google Scholar 

  7. Andrei, N., Johannesson, H.: Phys. Lett. A100, 108 (1984)

    Google Scholar 

  8. Wiegmann, P.B.: Phys. Lett. A80, 163 (1980)

    Google Scholar 

  9. Schlottmann, P.: Phys. Rep.181, 2 (1989)

    Google Scholar 

  10. Karnaukhov, I.N.: Phys. Lett. A160, 90; 97 (1991)

    Google Scholar 

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

    Google Scholar 

  12. Lieb, E.H., Wu, F.Y.: Phys. Rev. Lett.20, 1445 (1968)

    Google Scholar 

  13. Klümper, A., Schadschneider, A., Zittartz, J.: Z. Phys. B78, 99 (1990)

    Google Scholar 

  14. Takahashi, M.: Prog. Theor. Phys.46, 401, 1388 (1971)

    Google Scholar 

  15. Yang, C.N., Yang, C.P.: J. Math. Phys.10, 1115 (1969)

    Google Scholar 

  16. Gaudin, M.: Phys. Rev. Lett.26, 1301 (1971)

    Google Scholar 

  17. Takahashi, M.: Prog. Theor. Phys.52, 103 (1974)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Karnaukhov, I.N. An exactly solvable impurity model. Z. Physik B - Condensed Matter 92, 369–375 (1993). https://doi.org/10.1007/BF01308756

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01308756

PACS

Navigation