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Multispin Ising spin glasses with ferromagnetic interactions

Peter Gillin·Hidetoshi Nishimori·David Sherrington
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Abstract

We consider the thermodynamics of an infinite-range Ising p-spin glass model with an additional r-spin ferromagnetic interaction. For r=2 there is a continuous transition to a ferromagnetic phase, while for r>2 the transition is first order. We find both glassy and non-glassy ferromagnetic phases, with replica symmetry breaking of both the one step and full varieties. We obtain new results for the case where r=p>2, demonstrating the existence of a non-glassy ferromagnetic phase, of significance to error-correcting codes.

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Peter Gillin, Hidetoshi Nishimori, David Sherrington. 2001-03-20. Multispin Ising spin glasses with ferromagnetic interactions. https://doi.org/10.1088/0305-4470%2F34%2F14%2F303

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