Skip to main content
Log in

Dynamics of Ising spin glasses with infinite-range interactions near the de Almeida-Thouless line

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

The dynamics of a soft-spin version of the Sherrington-Kirkpatrick model are calculated near the de Almeida-Thouless (AT) instability line. Lines of constant average relaxation timest 0 approach for nt 0⪞10 the AT line in the field (H)-temperature (T) plane and exhibit for 1nt 0<10 a cross-over fromH 2=4/3(1−T)3 to a square root law. The temperature of the susceptibility cusp turns out to be independent of frequency.

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. De Almeida, J.R.L., Thouless, D.J.: J. Phys.A11, 983 (1978)

    Google Scholar 

  2. Sherrington, D., Kirkpatrick, S.: Phys. Rev. Lett.35, 1792 (1975); Phys. Rev.B17, 4384 (1978)

    Google Scholar 

  3. Mackenzie, N.D., Young, A.P.: Phys. Rev. Lett.49, 301 (1982)

    Google Scholar 

  4. Sompolinsky, H.: Phys. Rev. Lett.47, 935 (1981)

    Google Scholar 

  5. Parisi, G.: J. Phys.A13, 1101 (1980) Phys. Rep.67, 25 (1980)

    Google Scholar 

  6. Parisi, G.: Phys. Rev. Lett.50, 1946 (1983)

    Google Scholar 

  7. Houghton, A., Jain, S., Young, A.P.: J. Phys. C16, L381 (1983)

    Google Scholar 

  8. Thouless, D.J., Anderson, P.W., Palmer, R.G.: Philos. Mag.35, 594 (1977)

    Google Scholar 

  9. Lundgren, L., Svedlindh, P., Beckmann, O.: Phys. Rev. B26, 3990 (1982)

    Google Scholar 

  10. Chamberlin, R.V., Hardiman, M., Turkevich, L.A., Orbach, R.: Phys. Rev. B25, 6720 (1982)

    Google Scholar 

  11. Monod, P., Bouchiat, H. J. Phys. Lett. (Paris)43, L45 (1982)

    Google Scholar 

  12. Yeshurun, Y., Ketelson, L.J.P., Salamon M.B.: Phys. Rev. B26, 1491 (1982)

    Google Scholar 

  13. Salamon, M.B., Tholence, J.L.: J. Appl. Phys.53, 7684 (1984); J. Magn. Magn. Mater.31–34, 1375 (1983)

    Google Scholar 

  14. Palumbo, A.C., Parks, R.D., Yeshurun, Y.: J. Phys. C15, L837 (1982)

    Google Scholar 

  15. Yeshurun, Y., Sompolinsky, H.: Phys. Rev. B26, 1487 (1982)

    Google Scholar 

  16. Bontemps, N., Rajchenbach, J., Orbach, R.: J. Phys. Lett. (Paris)44, L47 (1983)

    Google Scholar 

  17. Hamida, J.A., Paulsen, C., Williamson, S.J., Maletta, H.: Preprint

  18. Campbell, J.A., Arvanitis, D., Fert, A.: Phys. Rev. Lett.51, 57 (1983)

    Google Scholar 

  19. Kinzel, W., Binder, K.: Phys. Rev. Lett.50, 1509 (1983)

    Google Scholar 

  20. Young, A.P.: Phys. Rev. Lett.50, 917 (1983)

    Google Scholar 

  21. Sompolinsky, H., Zippelius, A.: Phys. Rev. Lett.47, 359 (1981); Phys. Rev.B25, 6860 (1982)

    Google Scholar 

  22. Tholence, J.L.: Solid State Commun.35, 113 (1980)

    Google Scholar 

  23. Hertz, J.A.: J. Phys. C16, 1219, 1233 (1983)

    Google Scholar 

  24. De Dominicis, C.: J. Phys. (Paris) C1, 247 (1976); Phys. Rev.B18, 4913 (1978); de Dominicis C. Peliti, L.: Phys. Rev.B18, 353 (1978)

    Google Scholar 

  25. Bausch, R., Janssen, H.K., Wagner, H.: Z. Phys.24, 113 (1976)

    Google Scholar 

  26. Bouchiat, H.: J. Phys. C16, L145 (1983)

    Google Scholar 

  27. Elderfield, D.: J. Phys. A (to be published)

  28. Fischer, K.H.: Solid State Commun.46, 309 (1983)

    Google Scholar 

  29. Suzuki, M., Kubo, R.: J. Phys. Soc. (Jpn.)24 51 (1968)

    Google Scholar 

  30. Morgenstern, I., Binder, K.: Phys. Rev.B22, 288 (1980); Z. Phys. B—Condensed Matter39, 227 (1980); Binder, K.: Z. Phys. B—Condensed Matter48, 319 (1982)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

SFB 125 Aachen-Jülich-Köln

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fischer, K.H. Dynamics of Ising spin glasses with infinite-range interactions near the de Almeida-Thouless line. Z. Physik B - Condensed Matter 53, 215–219 (1983). https://doi.org/10.1007/BF01388542

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01388542

Keywords

Navigation