Dilute spin glasses at zero temperature and the 1/ 2-state Potts model

A. Aharony, P. Pfeuty

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27 Scopus citations


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 languageEnglish
Article number008
Pages (from-to)L125-L128
JournalJournal of Physics C: Solid State Physics
Issue number3
StatePublished - 1 Dec 1979
Externally publishedYes


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