p>2 spin glasses with first order ferromagnetic transitions

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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AMSLaTeX, 13 pages, 23 EPS figures ; one figure corrected

Scientific paper

10.1088/0305-4470/33/16/302

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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