Zeitschrift für Physik B Condensed Matter

, Volume 50, Issue 4, pp 311–336 | Cite as

On a classical spin glass model

  • J. L. van Hemmen
  • A. C. D. van Enter
  • J. Canisius
Article

Abstract

A simple, exactly soluble, model of a spin-glass with weakly correlated disorder is presented. It includes both randomness and frustration, but its solution can be obtained without replicas. As the temperatureT is lowered, the spin-glass phase is reached via an equilibrium phase transition atT=T f . The spin-glass magnetization exhibits a distinctS-shape character, which is indicative of a field-induced transition to a state of higher magnetization above a certain threshold field.

For suitable probability distributions of the exchange interactions.
  1. (a)

    A mixed phase is found where spin-glass and ferromagnetism coexist.

     
  2. (b)

    The zero-field susceptibility has a flat plateau for 0≦TT f and a Curie-Weiss behaviour forT>T f .

     
  3. (c)

    At low temperatures the magnetic specific heat is linearly dependent on the temperature.

     

The physical origin of the dependence upon the probability distributions is explained, and a careful analysis of the ground state structure is given.

Keywords

Spin Glass Mixed Phase Physical Origin Ground State Structure High Magnetization 

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Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • J. L. van Hemmen
    • 1
  • A. C. D. van Enter
    • 1
  • J. Canisius
    • 1
  1. 1.Sonderforschungsbereich 123Universität HeidelbergHeidelberg 1Germany

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