p>2 spin glasses with first order ferromagnetic transitions

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 there are two ferromagnetic phases, one non-glassy replica symmetric and one exhibiting glassy one-step replica symmetry breaking and aging, whereas for r>=p only the replica symmetric phase exists.

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

References in corpus (1)

• Competition between glassiness and order in a multi-spin glass

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