The three-dimensional Ising spin glass in an external magnetic field: The role of the silent majority

Baity-Jesi, M. ; Baños, R. A. ; Cruz, A. (Universidad de Zaragoza) ; Fernandez, L. A. ; Gil-Narvion, J. (Universidad de Zaragoza) ; Gordillo-Guerrero, A. ; Iñiguez, D. ; Maiorano, A. ; Mantovani, F. ; Marinari, E. ; Martin-Mayor, V. ; Monforte-Garcia, J. ; Muñoz Sudupe, A. ; Navarro, D. (Universidad de Zaragoza) ; Parisi, G. ; Perez-Gaviro, S. (Universidad de Zaragoza) ; Pivanti, M. ; Ricci-Tersenghi, F. ; Ruiz-Lorenzo, J. ; Schifano, S. F. ; Seoane, B. (Universidad de Zaragoza) ; Tarancon, A. (Universidad de Zaragoza) ; Tripiccione, R. ; Yllanes, D.

Resumen: We perform equilibrium parallel-tempering simulations of the 3D Ising Edwards–Anderson spin glass in a field, using the Janus computer. A traditional analysis shows no signs of a phase transition. However, we encounter dramatic fluctuations in the behaviour of the model: averages over all the data only describe the behaviour of a small fraction of the data. Therefore, we develop a new approach to study the equilibrium behaviour of the system, by classifying the measurements as a function of a conditioning variate. We propose a finite-size scaling analysis based on the probability distribution function of the conditioning variate, which may accelerate the convergence to the thermodynamic limit. In this way, we find a non-trivial spectrum of behaviours, where some of the measurements behave as the average, while the majority show signs of scale invariance. As a result, we can estimate the temperature interval where the phase transition in a field ought to lie, if it exists. Although this would-be critical regime is unreachable with present resources, the numerical challenge is finally well posed.

Idioma: Inglés

DOI: 10.1088/1742-5468/2014/05/P05014

Año: 2014

Publicado en: Journal of Statistical Mechanics: Theory and Experiment 2014, 5 (2014), P05014 [40 pp.]
ISSN: 1742-5468

Factor impacto JCR: 2.404 (2014)

Categ. JCR: PHYSICS, MATHEMATICAL rank: 4 / 54 = 0.074 (2014) - Q1 - T1
Categ. JCR: MECHANICS rank: 14 / 136 = 0.103 (2014) - Q1 - T1

Financiación: info:eu-repo/grantAgreement/EC/FP7/247328/EU/Critical Phenomena in Random Systems/CRIPHERASY
Financiación: info:eu-repo/grantAgreement/ES/MICINN/TEC2010-19207
Financiación: info:eu-repo/grantAgreement/ES/MINECO/FIS2010-16587
Financiación: info:eu-repo/grantAgreement/ES/MINECO/FIS2012-35719-C02

Tipo y forma: Article (PrePrint)

Área (Departamento): Área Tecnología Electrónica (Dpto. Ingeniería Electrón.Com.)
Área (Departamento): Área Ingeniería Química (Dpto. Ing.Quím.Tecnol.Med.Amb.)
Área (Departamento): Proy. investigación JBA (Dpto. Ingeniería Electrón.Com.)
Área (Departamento): Área Física Teórica (Dpto. Física Teórica)