Ultrametricity in the Edwards-Anderson Model
classification
❄️ cond-mat.dis-nn
cond-mat.stat-mechmath-phmath.MP
keywords
ultrametricityedwards-andersonfieldmodeltheoryagreementcompatiblecontradicts
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We test the property of ultrametricity for the spin glass three-dimensional Edwards-Anderson model in zero magnetic field with numerical simulations up to $20^3$ spins. We find an excellent agreement with the prediction of the mean field theory. Since ultrametricity is not compatible with a trivial structure of the overlap distribution our result contradicts the droplet theory.
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