Skip to main content
Log in

Excitations in Heisenberg spin glasses

II. The Eu x Sr1−x S-System: Fluctuations, localization, and erratum to I

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

For the Eu x Sr1−x S-system in the spin glass regime (x=0.6 and 0.4) the shape functions of the inelastic neutron scattering cross sections at low temperatures are calculated from a numerical study of the imaginary partχ″(q,E) of the dynamic susceptibility at T=0 K. Within the calculation, the continued fraction algorithms of the preceding paper are applied. Additionally, for low temperatures, the spin-autocorrelation functionφ u (t) is calculated, averaged over all magnetic sitesl. From this quantity, it is also derived, how the (metastable) Edwards-Anderson order parameterq(T) decreases with increasing T, namely ∝(1-const.·T2). Finally, from a numerical study of the inverse participation ratio it is concluded that the spin excitations in the upper half of the energy range covered by the density of states should be localized.

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. Krey, U.: Z. Phys. B — Condensed Matter38, 243 (1980)

    Google Scholar 

  2. Bohn, H.G., Zinn, W., Dorner, B., Kollmar, A.: Phys. Rev. B22, 5447 (1980)

    Google Scholar 

  3. Maletta, H.. Felsch, W.: Phys. Rev. B20, 1245 (1979)

    Google Scholar 

  4. Maletta, H., Felsch, W., Scheuer, H., Pink, H.: J. Magn. Magn. Mater.15, 167 (1980)

    Google Scholar 

  5. Binder, K., Kinzel, W., Stauffer, D.: Z. Phys. B — Condensed Matter36, 161 (1979)

    Google Scholar 

  6. Wagner, V., Krey, U.: Z. Phys. B — Condensed Matter30, 367 (1978)

    Google Scholar 

  7. Marshall, W., Lovesey, S.W.: Theory of Thermal Neutron Scattering, Equation (8.40). Oxford: Clarendon Press 1971

    Google Scholar 

  8. Jäckle, J.: Einführung in die Transporttheorie. Equation (1.29). Braunschweig: Vieweg 1978

    Google Scholar 

  9. The author would like to thank K.H. Fischer for a hint to this point.

  10. Bloch, F.: Z. Phys.61, 206 (1931)

    Google Scholar 

  11. Schuster, H.G.: Phys. Lett.76 A, 269 (1980)

    Google Scholar 

  12. See e.g. Des Cloizeaux, D.: In: Theory of Condensed Matter, IAEA, Vienna 1968

    Google Scholar 

  13. Bray, A.J., Moore, M.A.: J. Phys. C13, 419 (1980) and preprints

    Google Scholar 

  14. Tyablikov, S.V.: Methods in the Quantum Theory of Magnetism. New York: Plenum Press 1977

    Google Scholar 

  15. In the ferromagnetic case also the Spectral functionS(q,E) calculated inI is dentical to 2χ″(q,E)/s

  16. Stein, J., Krey, U.: Solid State Commun.27, 797 (1978)

    Google Scholar 

  17. Stein, J., Krey, U.: Proceedings of the STAPHYS 14 conference, Edmonton 1980. Physica B (in press)

  18. Kirkpatrick, S., Eggarter, T.P.: Phys. Rev. B6, 3598 (1972)

    Google Scholar 

  19. Isolated pairs of spins would have excitations atE/(2sJ nn)=2 and =1, respectively, for nearest-neighbour or second-nearestneighbour interaction (J nnn=−Jnn/2) This fact might contribute to the two “bumps” appearing in Fig. 7 at these energies

  20. Kumar, D.: Private communication

  21. Bray, A. W., Moore, M.A.: Preprint (1981)

  22. Maletta, H., Zinn, W.: Private communication

Download references

Author information

Authors and Affiliations

Authors

Additional information

Dedicated to Prof. Dr. W. Döring on the occasion of his 70th birthday

Rights and permissions

Reprints and permissions

About this article

Cite this article

Krey, U. Excitations in Heisenberg spin glasses. Z. Physik B - Condensed Matter 42, 231–239 (1981). https://doi.org/10.1007/BF01422027

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01422027

Keywords

Navigation