Spin-Glass Model for Inverse Freezing

Details Spin-Glass Model for Inverse Freezing Spin-Glass Model for Inverse Freezing

2006-05-15

arxiv.org/abs/cond-mat/0605376v1

Philosophical Magazine, Volume 87, Issue 3, 2007, Pages 543 \^a?" 551

Physics

Condensed Matter

Materials Science

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

Scientific paper

10.1080/14786430600919310

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.

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