Ultrametricity in the Edwards-Anderson Model

Details Ultrametricity in the Edwards-Anderson Model Ultrametricity in the Edwards-Anderson Model

2006-07-14

arxiv.org/abs/cond-mat/0607376v4

Phys. Rev. Lett. 99, 057206 (2007)

Physics

Condensed Matter

Disordered Systems and Neural Networks

typos corrected

Scientific paper

10.1103/PhysRevLett.99.057206

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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