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On a classical spin glass model

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Zeitschrift für Physik B Condensed Matter

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≦T≦T 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.

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  1. Sonderforschungsbereich 123, Universität Heidelberg, Im Neuenheimer Feld 294, D-6900, Heidelberg 1, Germany

    J. L. van Hemmen, A. C. D. van Enter & J. Canisius

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  1. J. L. van Hemmen
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  3. J. Canisius
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van Hemmen, J.L., van Enter, A.C.D. & Canisius, J. On a classical spin glass model. Z. Physik B - Condensed Matter 50, 311–336 (1983). https://doi.org/10.1007/BF01470043

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