p > 2 spin glasses with first-order ferromagnetic transitions
Peter Gillin; David Sherrington; Peter Gillin; Physics Department, University of Oxford, Theoretical Physics, 1 Keble Road, Oxford OX1 3NP, UK; David Sherrington; Physics Department, University of Oxford, Theoretical Physics, 1 Keble Road, Oxford OX1 3NP, UK
Журнал:
Journal of Physics A: Mathematical and General
Дата:
2000-04-28
Аннотация:
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 ageing; whereas for r≥p only the replica symmetric phase exists.
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