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Monte Carlo Simulation of the Three-Dimensional Ising Spin Glass

  • M. Palassini
  • S. Caracciolo
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 85)

Abstract

We study the 3D Ed wards-Anderson model with binary interactions by Monte Carlo simulations. Direct evidence of finite–size scaling is provided, and the universal finite–size scaling functions are determined. Using an Iterative extrapolation procedure, Monte Carlo data are extrapolated to infinite volume up to correlation length £ ≈ 140. The infinite volume data are consistent with both a continuous phase transition at finite temperature and an essential singularity at finite temperature. An essential singularity at zero temperature is excluded.

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References

  1. 1.
    K. Binder and A.P. Young, Rev. Mod. Phys. 58, 801 (1986); E. Marinari, G. Parisi and J. Ruiz-Lorenzo, in Spin Glasses and Random Fields, edited by A. P. Young (World Scientific, Singapore, 1997). ADSCrossRefGoogle Scholar
  2. 2.
    A.T. Ogielski and I. Morgenstern, Phys. Rev. Lett. 54, 928 (1985); A.T. Ogielski, Phys. Rev. B 32, 7384 (1985).ADSCrossRefGoogle Scholar
  3. 3.
    E.Marinari, G.Parisi and F.Ritort, J. Phys. A 27 (1994). Google Scholar
  4. 4.
    N. Kawashima and A.P. Young, Phys. Rev. B 53, R484 (1996).ADSCrossRefGoogle Scholar
  5. 5.
    E. Marinari, G. Parisi and J.J. Ruiz-Lorenzo, Phys. Rev. B 58, 14852 (1998).ADSCrossRefGoogle Scholar
  6. 6.
    B.A. Berg and W. Janke, Phys. Rev. Lett. 80, 4771 (1998); W. Janke, B.A. Berg and A. Billoire, cond-mat/9811423.ADSCrossRefGoogle Scholar
  7. 7.
    D. Iniguez, E. Marinari, G. Parisi and J.J. Ruiz-Lorenzo, J. Phys. A 30 7337 (1997).MathSciNetADSMATHCrossRefGoogle Scholar
  8. 8.
    S. Caracciolo, R.G. Edwards, S.J. FerRevra, A. Pelissetto and A.D. Sokal, Phys. Rev. Lett. 74, 2969 (1995).ADSCrossRefGoogle Scholar
  9. 9.
    M. Palassini and S. Caracciolo, submitted. Google Scholar
  10. 10.
    M.N. Barber, in Phase Transitions and Critical Phenomena, Iol. 8, edited by. Google Scholar

Copyright information

© Springer-Verlag 2000

Authors and Affiliations

  • M. Palassini
    • 1
  • S. Caracciolo
    • 2
  1. 1.Department of PhysicsUniversity of CaliforniaSanta CruzUSA
  2. 2.Scuola Normale Superiore and INFNPisaItaly

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