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Dynamical transition in the D=3 Edwards-Anderson spin glass in an external magnetic field

  • 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 study the off-equilibrium dynamics of the three-dimensional Ising spin glass in the presence of an external magnetic field. We have performed simulations both at fixed temperature and with an annealing protocol. Thanks to the Janus special-purpose computer, based on field-programmable gate array (FPGAs), we have been able to reach times equivalent to 0.01 s in experiments. We have studied the system relaxation both for high and for low temperatures, clearly identifying a dynamical transition point. This dynamical temperature is strictly positive and depends on the external applied magnetic field. We discuss different possibilities for the underlying physics, which include a thermodynamical spin-glass transition, a mode-coupling crossover, or an interpretation reminiscent of the random first-order picture of structural glasses.

Original languageEnglish
Article number032140
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume89
Issue number3
DOIs
StatePublished - 31 Mar 2014
Externally publishedYes

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