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

^*Corresponding author for this work

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

Research output: Contribution to journal › Article › peer-review

35 Scopus citations

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 language	English
Article number	057206
Journal	Physical Review Letters
Volume	99
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevLett.99.057206
State	Published - 31 Jul 2007
Externally published	Yes

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10.1103/PhysRevLett.99.057206

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title = "Ultrametricity in the Edwards-Anderson model",

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.",

author = "Pierluigi Contucci and Cristian Giardin{\`a} and Claudio Giberti and Giorgio Parisi and Cecilia Vernia",

year = "2007",

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day = "31",

doi = "10.1103/PhysRevLett.99.057206",

language = "英语",

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AU - Contucci, Pierluigi

AU - Giardinà, Cristian

AU - Giberti, Claudio

AU - Parisi, Giorgio

AU - Vernia, Cecilia

PY - 2007/7/31

Y1 - 2007/7/31

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/34547586976

U2 - 10.1103/PhysRevLett.99.057206

DO - 10.1103/PhysRevLett.99.057206

M3 - 文章

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SN - 0031-9007

VL - 99

JO - Physical Review Letters

JF - Physical Review Letters

IS - 5

M1 - 057206

ER -

Ultrametricity in the Edwards-Anderson model

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