## Abstract

A random Ising model with random positive, negative and zero nearest-neighbour exchange coefficients (with probabilities p, q=p and r respectively) is considered at zero temperature. The s state Potts model in the limit s to ^{1}/_{2} is shown to describe the statistics of those clusters of bonds which contain no frustrated plaquettes. The phase transition of this model is interpreted as corresponding to a 'Mattis spin-glass' ordering on these clusters, yielding an upper bound for the concentration p at which some spin-glass ordering must occur.

Original language | English |
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Article number | 008 |

Pages (from-to) | L125-L128 |

Journal | Journal of Physics C: Solid State Physics |

Volume | 12 |

Issue number | 3 |

DOIs | |

State | Published - 1979 |

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