Multispin Ising spin glasses with ferromagnetic interactions

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)

References in corpus (1)

• Comment on `Replica analysis of the p-spin interaction Ising spin-glass model'

Cited by in corpus (11)

• Generalization of the cavity method for adiabatic evolution of Gibbs states
• Glassy behavior of light in random lasers
• Glassy dynamics as a melting process (On melting dynamics and the glass transition, Part II)
• One-dimensional Ising model with multispin interactions
• Phase diagram of the $p$-spin-interacting spin glass with ferromagnetic bias and a transverse field in the infinite-$p$ limit
• Random-field p-spin glass model on regular random graphs
• Continuous and discontinuous transitions in generalized p-spin glass models
• Generalized Sherrington--Kirkpatrick-glass without reflection symmetry
• Embedding a Native State into a Random Heteropolymer Model: The Dynamic Approach
• Complex Cooperative Behaviour in Range-free Frustrated Many-body Systems
• A p-Spin Interaction Ashkin-Teller Spin-Glass Model