The spin glass transition: a comparison of Monte Carlo simulations of nearest-neighbor Ising Edwards-Anderson models with experiments

  • K. Binder
  • W. Kinzel
Theoretical Papers
Part of the Lecture Notes in Physics book series (LNP, volume 192)


Numerical studies of Ising square lattices with random bonds (Jij=±J or drawn from a gaussian distribution) are reviewed. Particular attention is paid to the temperature- and field dependence of the equilibrium magnetization M(H,T). While for a symmetric bond distribution the zero-field susceptibility trivially follows a Curies law Xo∝ T−1, the nonlinear susceptibility Xn shows a dramatic temperature-dependence, which can nearly be mistaken for a power-law divergence at a freezing temperature Tf. These findings are compared in detail with corresponding experimental data, including possible “scaling” representations. We relate this behavior to the onset of long-range Edwards-Anderson order as T→0, as measured by the correlation function gEA(rij)=[<SiSj> T 2 ]av

We then discuss time-dependent quantities: the spin-spin autocorrelation function and the time-dependent Edwards-Anderson order parameter q(t), dynamic susceptibility χ(t) etc.; also the onset of irreversible behavior at critical magnetic fields Hc(t) is emphasized, and again compared to experiments. A possible explanation of this behavior in terms of the free energy barriers separating the various “valleys” in configuration space is indicated.


Spin Glass Critical Field Small Field Nonlinear Susceptibility Monte Carlo Step 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • K. Binder
    • 1
  • W. Kinzel
    • 1
  1. 1.Institut für FestkörperforschungKernforschungsanlage JülichJülichW.-Germany

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