Ultrametricity in the Edwards-Anderson Model

Abstract

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.

typos corrected

References in corpus (2)

• Broken Replica Symmetry Bounds in the Mean Field Spin Glass Model
• Lack of Ultrametricity in the Low-Temperature phase of 3D Ising Spin Glasses

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