Ultrametricity in the Edwards-Anderson Model
arXiv:cond-mat/0607376 · doi:10.1103/PhysRevLett.99.057206
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