Multispin Ising spin glasses with ferromagnetic interactions
arXiv:cond-mat/0103292 · doi:10.1088/0305-4470/34/14/303
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.
16 pages, AMS LaTeX, 14 EPS figures; one minor correction to (42)