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The link overlap and finite size effects for the 3D Ising spin glass

  • B. Drossel
  • H. Bokil
  • M.A. Moore
  • A.J. Bray

Abstract:

We study the link overlap between two replicas of an Ising spin glass in three dimensions using the Migdal-Kadanoff approximation and scaling arguments based on the droplet picture. For moderate system sizes, the distribution of the link overlap shows the asymmetric shape and large sample-to-sample variations found in Monte-Carlo simulations and usually attributed to replica symmetry breaking. However, the scaling of the width of the distribution, and the link overlap in the presence of a weak coupling between the two replicas are in agreement with the droplet picture. We also discuss why it is impossible to see the asymptotic droplet-like behaviour for moderate system sizes and temperatures not too far below the critical temperature.

PACS. 75.50.Lk Spin glasses and other random magnets 

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Copyright information

© EDP Sciences, Springer-Verlag, Società Italiana di Fisica 2000

Authors and Affiliations

  • B. Drossel
    • 1
  • H. Bokil
    • 1
  • M.A. Moore
    • 1
  • A.J. Bray
    • 1
  1. 1.Theory Group, Department of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UKGB

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