Random pinning in glassy spin models with plaquette interactions

Details Random pinning in glassy spin models with plaquette interactions Random pinning in glassy spin models with plaquette interactions

2011-12-07

arxiv.org/abs/1112.1536v1

Phys. Rev. E 85, 021120 (2012)

Physics

Condensed Matter

Statistical Mechanics

15 pages, 9 figs

Scientific paper

10.1103/PhysRevE.85.021120

We use a random pinning procedure to study amorphous order in two glassy spin models. On increasing the concentration of pinned spins at constant temperature, we find a sharp crossover (but no thermodynamic phase transition) from bulk relaxation to localisation in a single state. At low temperatures, both models exhibit scaling behaviour. We discuss the growing length and time scales associated with amorphous order, and the fraction of pinned spins required to localize the system in a single state. These results, obtained for finite dimensional interacting models, provide a theoretical scenario for the effect of random pinning that differs qualitatively from previous approaches based either on mean-field, mode-coupling, or renormalization group reatments.

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