Ultrametricity in the Edwards-Anderson model.
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.
Contucci
Pierluigi
P
Università di Bologna, Piazza di Porta S. Donato 5, 40127 Bologna, Italy.
Giardinà
Cristian
C
Giberti
Claudio
C
Parisi
Giorgio
G
Vernia
Cecilia
C