Ultrametricity in the Edwards-Anderson model

P. Contucci, C. Giardinà, C. Giberti, G. Parisi, C. Vernia

Research output: Contribution to journalArticleAcademicpeer-review

31 Citations (Scopus)
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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.
Original languageEnglish
Pages (from-to)057206-1/4
JournalPhysical Review Letters
Volume99
Issue number5
DOIs
Publication statusPublished - 2007

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