Numerical study of the overlap Lee-Yang singularities in the three-dimensional Edwards-Anderson model

Álvarez Baños, R. (Universidad de Zaragoza) ; Gil-Narvion, J. ; Monforte-Garcia, J. (Universidad de Zaragoza) ; Ruiz-Lorenzo, J. ; Yllanes, D.

Resumen: We have characterized numerically, using the Janus computer, the Lee–Yang complex singularities related to the overlap in the 3D Ising spin-glass with binary couplings over a wide range of temperatures (both in the critical and in the spin-glass phase). Studying the behavior of the zeros at the critical point, we have obtained an accurate measurement of the anomalous dimension in very good agreement with the values quoted in the literature. In addition, by studying the density of the zeros we have been able to characterize the phase transition and to investigate the Edwards–Anderson order parameter in the spin-glass phase, finding agreement with the values obtained using more conventional techniques.

Idioma: Inglés

DOI: 10.1088/1742-5468/2013/02/P02031

Año: 2013

Publicado en: Journal of Statistical Mechanics: Theory and Experiment 2013, 2 (2013), P02031 [18 pp.]
ISSN: 1742-5468

Factor impacto JCR: 2.056 (2013)

Categ. JCR: PHYSICS, MATHEMATICAL rank: 9 / 55 = 0.164 (2013) - Q1 - T1
Categ. JCR: MECHANICS rank: 19 / 139 = 0.137 (2013) - Q1 - T1

Financiación: info:eu-repo/grantAgreement/EC/FP7/247328/EU/Critical Phenomena in Random Systems/CRIPHERASY
Financiación: info:eu-repo/grantAgreement/ES/MICINN/FIS2007-60977
Financiación: info:eu-repo/grantAgreement/ES/MICINN/FIS2009-12648-C03-02

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Física Teórica (Dpto. Física Teórica)