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p>2 spin glasses with first order ferromagnetic transitions

Peter Gillin·David Sherrington
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Abstract

We consider an infinite-range spherical p-spin glass model with an additional r-spin ferromagnetic interaction, both statically using a replica analysis and dynamically via a generating functional method. For r>2 we find that there are first order transitions to ferromagnetic phases. For r =p only the replica symmetric phase exists.

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Peter Gillin, David Sherrington. 2000-01-21. p>2 spin glasses with first order ferromagnetic transitions. https://doi.org/10.1088/0305-4470%2F33%2F16%2F302

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