Ultrametricity in the Edwards-Anderson model

Pierluigi Contucci; Cristian Giardinà; Claudio Giberti; Giorgio Parisi; Cecilia Vernia

doi:10.1103/PhysRevLett.99.057206

Ultrametricity in the Edwards-Anderson model

Pierluigi Contucci^*
, Cristian Giardinà
, Claudio Giberti
, Giorgio Parisi
, Cecilia Vernia

^*此作品的通讯作者

University of Bologna
Eurandom
University of Modena and Reggio Emilia
University of Rome La Sapienza

科研成果: 期刊稿件 › 文章 › 同行评审

35 引用（Scopus）

摘要

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.

源语言	英语
文章编号	057206
期刊	Physical Review Letters
卷	99
期	5
DOI	https://doi.org/10.1103/PhysRevLett.99.057206
出版状态	已出版 - 31 7月 2007
已对外发布	是

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AU - Vernia, Cecilia

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AB - 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.

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Ultrametricity in the Edwards-Anderson model

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