Zeitschrift für Physik B Condensed Matter

, Volume 26, Issue 2, pp 169–176 | Cite as

On Suhl's dispersion equations for dilute magnetic alloys in a finite magnetic field

II. Numerical Solutions and Transport Coefficients
  • Hellmut Keiter
  • Juhani Kurkijärvi
Article
Received:

Abstract

A one dimensional, nonlinear, singular integral equation was recently shown to be equivalent to Suhl's dispersion equations for the Kondo-problem of a half-spin magnetic impurity in a finite magnetic field. We investigate this integral equation further analytically and numerically and obtain numerical solutions which we use for a calculation of transport coefficients. The normal part of the scattering potential of the magnetic impurity is included via ans-wave phase shiftδ. The transport coefficients are universal functions of the ratiosT/TK andB/BK of the temperatureT and the zero magnetic field Kondo-temperatureTK and of the magnetic inductionB and the Kondo magnetic inductionBK. We find maxima in the electrical and thermal resistivities as functions ofT/TK forB≈BK. These are typical Kondo phenomena, and can be influenced byδ. Interference ofδ and the phases of Kondo-scattering amplitudes leads to dramatic effects in the thermopower and the Hall coefficient.

Keywords

Spectroscopy Magnetic Field Neural Network State Physics Integral Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Keiter, H.: Z. Physik B23, 37 (1976)Google Scholar
  2. 2.
    More, R., Suhl, H.: Phys. Rev. Lett.20, 500 (1968)Google Scholar
  3. 3.
    Abramowitz, M., Stegun, I.A., eds.: NBS-publication (1964) Handbook of Mathematical FunctionsGoogle Scholar
  4. 4.
    Muschelischwili, N.I.: Singuläre Integralgleichungen. Berlin: Akademie-Verlag 1965Google Scholar
  5. 5.
    Beal-Monod, M.T., Weiner, R.A.: Phys. Rev.170, 552 (1968) and Phys. Rev. B3, 3056 (1971) and references quoted therein.Google Scholar
  6. 6.
    Bohnen, K.P.: Jül.-Rep. 750—FF (1971)Google Scholar
  7. 7.
    Kozarzewski, B.: Acta Physica Polonica A44, 237 (1973)Google Scholar
  8. 8.
    Abrikosov, A.A.: Physics2, 61 (1965)Google Scholar
  9. 9.
    Keiter, H., Kurkijärvi, J.: Paper given at ICM (1976) Amsterdam; to appear in Physica BGoogle Scholar
  10. 10.
    Keiter, H., Müller-Hartmann, E., Zittartz, J.: Solid State Comm.16, 1247 (1975)Google Scholar
  11. 11.
    See e.g. Fischer, K.: phys. stat. sol. (b)46, 11 (1971) formula (2.60)Google Scholar
  12. 12.
    Bloomfield, P.E., Hecht, R., Sievert, P.R.: Phys. Rev. B2, 3714 (1971)Google Scholar
  13. 13.
    Felsch, W., Winzer, K.: Solid State Comm.13, 569 (1973)Google Scholar
  14. 14.
    Winzer, K., Samwer, K.: Proceeding of the 14th International Conference on Low Temperature Physics (Krusius, M., and Vuorio, M., eds.) Vol. 3, 430 North-Holland Publ. Comp. (1975); Z. Physik B25, 269 (1976)Google Scholar
  15. 15.
    Yosida, K.: Phys. Rev.107, 396 (1957)Google Scholar
  16. 16.
    More, H.: Solid State Comm.7, 237 (1969)Google Scholar
  17. 17.
    Berman, R., Kopp, J.: J. Phys. F.1, 457 (1971)Google Scholar
  18. 18.
    Monod, P., Friedrich, A., p. 755 in: Proceedings of the 12th International Conference on Low Temperature Physics, Kyoto, Japan (E. Kanda, ed.) Tokyo: Academic Press of Japan (1971)Google Scholar

Copyright information

© Springer-Verlag 1977

Authors and Affiliations

  • Hellmut Keiter
    • 1
  • Juhani Kurkijärvi
    • 2
  1. 1.Physikalisch-Technische BundesanstaltBraunschweigGermany
  2. 2.Dept. of Technical PhysicsHelsinki University of TechnologyOtaniemiFinland

Personalised recommendations