Skip to main content
SpringerLink
Log in

A study of short-range spin glasses

  • Theoretical Papers
  • Conference paper
  • First Online:
Heidelberg Colloquium on Spin Glasses

Part of the book series: Lecture Notes in Physics ((LNP,volume 192))

  • 172 Accesses

Abstract

Spatial fluctuations in spin glasses are studied by an expansion around the dynamic mean field theory. We discuss the properties of the low temperature phase, in particular the stability and consistency of mean field theory and identify the most divergent fluctuations and the resulting special dimensionalities of the model. The dynamic critical behaviour is studied within an e expansion around the upper critical dimension du=6.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. For a recent review, see R. Rammal and J. Souletie in Magnetism of Metals and Alloys, Ed. M. Cyrot, North Holland 1981, p. 342; K. Fischer, phys. stat. sol. (b) 116, 357 (1983)

    Google Scholar 

  2. B. Barbara, A.P. Malozemoff, and Y. Imry, Phys. Rev. Lett. 47, 1852 (1981); P. Monod and H. Bouchiat, J. Phys. Lett. (Paris) 43, L45 (1982); A. Berton, J. Chaussy, J. Odin, B. Rammal, and R. Tournier, J. Phys. Lett. (Paris) 43, 1.-153 (1982); R. Omari, J.J. Préjean, and J. Souletie, J. Phys. (Paris) in press

    Google Scholar 

  3. R. Fisch and A.B. Harris, Phys. Rev. Lett., 38, 785 (1977)

    Google Scholar 

  4. I. Morgenstern and K. Binder, Phys. Rev. Lett. 43, 1615 (1979); Phys. Rev. B22, (1980); Z. Phys. B39, 227 (1980)

    Google Scholar 

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

    Google Scholar 

  6. H. Sompolinsky and A. Zippelius, Phys. Rev. Lett. 47, 359 (1981); Phys. Rev. B25, 6860 (1982); J.A. Hertz, A. Khurana, M. Puoskari, Phys. Rev. B25, 2065 (1982)

    Google Scholar 

  7. H. Sompolinsky and A. Zippelius, Phys. Rev. Lett. 50, 1297 (1983)

    Google Scholar 

  8. A.J. Bray and M.A. Moore, J. Phys. C12, 79 (1979); E. Pytte and J. Rudnick, Phys. Rev. B19, 3603 (1979)

    Google Scholar 

  9. D. Sherrington and S. Kirkpatrick, Phys. Rev. Lett. 35, 1792 (1975)

    Google Scholar 

  10. H.J. Sommers, Z. Phys. B32, 173 (1979)

    Google Scholar 

  11. C. De Dominicis and T. Garel, J. Phys. (Paris) 40, L576 (1979)

    Google Scholar 

  12. A.B. Harris, T.C. Lubensky and J.H. Chen, Phys. Rev. Lett. 36, 415 (1976)

    Google Scholar 

  13. A.J. Bray and S.A. Roberts, J. Phys. C13, 5405 (1980)

    Google Scholar 

  14. J.R.L. de Almeida and D.J. Thouless, J. Phys. A11, 983 (1978)

    Google Scholar 

  15. J.H. Chen and T.C. Lubensky, Phys. Rev. B16, 2106 (1977)

    Google Scholar 

  16. A. Zippelius, to be published

    Google Scholar 

Download references

Author information

Author notes

  1. H. Sompolinsky

    Present address: Bell Laboratories, 07974, Murray Hill, NJ, USA

Authors and Affiliations

  1. Dept. of Physics, Bar-Ilan University, Ramat-Gan, Israel

    H. Sompolinsky

  2. Institut für Festkdrperforschung, Kernforschungsanlage Jülich GmbH, D-5170, Jülich, Germany

    A. Zippelius

Authors
  1. H. Sompolinsky
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Zippelius
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

J. L. van Hemmen I. Morgenstern

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer-Verlag

About this paper

Cite this paper

Sompolinsky, H., Zippelius, A. (1983). A study of short-range spin glasses. In: van Hemmen, J.L., Morgenstern, I. (eds) Heidelberg Colloquium on Spin Glasses. Lecture Notes in Physics, vol 192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-12872-7_53

Download citation

  • DOI: https://doi.org/10.1007/3-540-12872-7_53

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12872-4

  • Online ISBN: 978-3-540-38761-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation