Spin-Glass Model for Inverse Freezing

Abstract

We analyze the Blume-Emery-Griffiths model with disordered magnetic interaction displaying the inverse freezing phenomenon. The behaviour of this spin-1 model in crystal field is studied throughout the phase diagram and the transition and spinodal lines for the model are computed using the Full Replica Symmetry Breaking Ansatz that always yelds a thermodynamically stable phase. We compare the results both with the quenched disordered model with Ising spins on lattice gas - where no reentrance takes place - and with the model with generalized spin variables recently introduced by Schupper and Shnerb [Phys. Rev. Lett. 93, 037202 (2004)]. The simplest version of all these models, known as Ghatak-Sherrington model, turns out to hold all the general features characterizing an inverse transition to an amorphous phase, including the right thermodynamic behavior.

6 pages, 4 figures, to appear in the Proceeding for the X International Workshop on Disordered Systems (2006), Molveno, Italy

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Cited by in corpus (12)

• Thermodynamic first order transition and inverse freezing in a 3D spin-glass
• The random Blume-Capel model on cubic lattice: first order inverse freezing in a 3D spin-glass system
• The Ising M-p-spin mean-field model for the structural glass: continuous vs. discontinuous transition
• Role of the transverse field in inverse freezing in the fermionic Ising spin-glass model
• Tricriticality and Reentrance in a Naive Spin-Glass Model
• Inverse freezing in the Hopfield Fermionic Ising Spin Glass
• A simple spin model for three steps relaxation and secondary proccesses in glass formers
• Inverse transitions in a spin-glass model on a scale-free network
• The overlap parameter across an inverse first order phase transition in a 3D spin-glass
• Inverse transitions and disappearance of the λ-line in the asymmetric random field Ising and Blume-Capel models
• Spin-glass splitting in the quantum Ghatak-Sherrington model
• Thouless-Anderson-Palmer equations for the Ghatak-Sherrington mean field spin glass model