We test the property of ultrametricity for the spin-glass three-dimensional Edwards-Anderson model in zero magnetic field with numerical simulations up to 203 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. © 2007 The American Physical Society.
Ultrametricity in the Edwards-Anderson model / P., Contucci; GIARDINA', Cristian; GIBERTI, Claudio; G., Parisi; VERNIA, Cecilia. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - STAMPA. - 99:5(2007), pp. 057206-1-057206-4. [10.1103/PhysRevLett.99.057206]
Ultrametricity in the Edwards-Anderson model.
GIARDINA', Cristian;GIBERTI, Claudio;VERNIA, Cecilia
2007
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 203 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. © 2007 The American Physical Society.
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