Evidence for the droplet/scaling picture of spin glasses

Details Evidence for the droplet/scaling picture of spin glasses Evidence for the droplet/scaling picture of spin glasses

1998-08-13

arxiv.org/abs/cond-mat/9808140v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 6 figures

Scientific paper

10.1103/PhysRevLett.81.4252

We have studied the Parisi overlap distribution for the three dimensional Ising spin glass in the Migdal-Kadanoff approximation. For temperatures T around 0.7Tc and system sizes upto L=32, we found a P(q) as expected for the full Parisi replica symmetry breaking, just as was also observed in recent Monte Carlo simulations on a cubic lattice. However, for lower temperatures our data agree with predictions from the droplet or scaling picture. The failure to see droplet model behaviour in Monte Carlo simulations is due to the fact that all existing simulations have been done at temperatures too close to the transition temperature so that sytem sizes larger than the correlation length have not been achieved.

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