A Numerical Study of Ultrametricity in Finite Dimensional Spin Glasses
Angelo Cacciuto, Enzo Marinari, Giorgio Parisi
Abstract
We use a constrained Monte Carlo technique to analyze ultrametric features of a 4 dimensional Edwards-Anderson spin glass with quenched couplings J= 1. We find that in the large volume limit an ultrametric structure emerges quite clearly in the overlap of typical equilibrium configurations.
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