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Critical parameters of the three-dimensional Ising spin glass

  • M. Baity-Jesi*
  • , R. A. Baños
  • , A. Cruz
  • , L. A. Fernandez
  • , J. M. Gil-Narvion
  • , A. Gordillo-Guerrero
  • , D. Iñiguez
  • , A. Maiorano
  • , F. Mantovani
  • , E. Marinari
  • , V. Martin-Mayor
  • , J. Monforte-Garcia
  • , A. Muñoz Sudupe
  • , D. Navarro
  • , G. Parisi
  • , S. Perez-Gaviro
  • , M. Pivanti
  • , F. Ricci-Tersenghi
  • , J. J. Ruiz-Lorenzo
  • , S. F. Schifano
  • B. Seoane, A. Tarancon, R. Tripiccione, D. Yllanes
*Corresponding author for this work
  • Complutense University
  • University of Rome La Sapienza
  • University of Zaragoza
  • University of Extremadura
  • Aragonese Foundation for Research & Development
  • University of Ferrara

Research output: Contribution to journalArticlepeer-review

Abstract

We report a high-precision finite-size scaling study of the critical behavior of the three-dimensional Ising Edwards-Anderson model (the Ising spin glass). We have thermalized lattices up to L=40 using the Janus dedicated computer. Our analysis takes into account leading-order corrections to scaling. We obtain Tc=1.1019(29) for the critical temperature, ν=2.562(42) for the thermal exponent, η=-0.3900(36) for the anomalous dimension, and ω=1.12(10) for the exponent of the leading corrections to scaling. Standard (hyper)scaling relations yield α=-5.69(13), β=0.782(10), and γ=6.13(11). We also compute several universal quantities at Tc.

Original languageEnglish
Article number224416
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume88
Issue number22
DOIs
StatePublished - 20 Jan 2013
Externally publishedYes

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