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Replica-symmetric solutions of a dilute Ising ferromagnet in a random field

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  • M. O. Hase
  • J. R.L. de Almeida
  • S. R. Salinas

Abstract

We use the replica method in order to obtain an expression for the variational free energy of an Ising ferromagnet on a Viana-Bray lattice in the presence of random external fields. Introducing a global order parameter, in the replica-symmetric context, the problem is reduced to the analysis of the solutions of a nonlinear integral equation. At zero temperature, and under some restrictions on the form of the random fields, we are able to perform a detailed analysis of stability of the replica-symmetric solutions. In contrast to the behaviour of the Sherrington-Kirkpatrick model for a spin glass in a uniform field, the paramagnetic solution is fully stable in a sufficiently large random field. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Suggested Citation

  • M. O. Hase & J. R.L. de Almeida & S. R. Salinas, 2005. "Replica-symmetric solutions of a dilute Ising ferromagnet in a random field," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 47(2), pages 245-249, September.
    • Handle: RePEc:spr:eurphb:v:47:y:2005:i:2:p:245-249
    DOI: 10.1140/epjb/e2005-00313-2
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    Cited by:

    1. Serva, Maurizio, 2011. "Exact and approximate solutions for the dilute Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(13), pages 2443-2451.

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