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A ferromagnet with a glass transition

S. Franz·M. Mezard·F. Ricci-Tersenghi·M. Weigt·R. Zecchina
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Abstract

We introduce a finite-connectivity ferromagnetic model with a three-spin interaction which has a crystalline (ferromagnetic) phase as well as a glass phase. The model is not frustrated, it has a ferromagnetic equilibrium phase at low temperature which is not reached dynamically in a quench from the high-temperature phase. Instead it shows a glass transition which can be studied in detail by a one step replica-symmetry broken calculation. This spin model exhibits the main properties of the structural glass transition at a solvable mean-field level.

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S. Franz, M. Mezard, F. Ricci-Tersenghi, M. Weigt, R. Zecchina. 2001-08-15. A ferromagnet with a glass transition. https://doi.org/10.1209/epl%2Fi2001-00438-4

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