Dimensional crossover in the aging dynamics of spin glasses in a film geometry

L. A. Fernandez, E. Marinari, V. Martin-Mayor, I. Paga, and J. J. Ruiz-Lorenzo
Phys. Rev. B 100, 184412 – Published 11 November 2019

Abstract

Motivated by recent experiments of exceptional accuracy, we study numerically the spin-glass dynamics in a film geometry. We cover all the relevant time regimes, from picoseconds to equilibrium, at temperatures at and below the 3D critical point. The dimensional crossover from 3D to 2D dynamics, which starts when the correlation length becomes comparable to the film thickness, consists of four dynamical regimes. Our analysis, based on a renormalization group transformation, finds consistent the overall physical picture employed by Orbach and co-workers in the interpretation of their experiments.

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  • Received 4 June 2019
  • Revised 23 October 2019

DOI:https://doi.org/10.1103/PhysRevB.100.184412

©2019 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsCondensed Matter, Materials & Applied Physics

Authors & Affiliations

L. A. Fernandez1,2, E. Marinari3, V. Martin-Mayor1,2, I. Paga4,1, and J. J. Ruiz-Lorenzo5,6,2

  • 1Departamento de Física Teórica, Universidad Complutense, 28040 Madrid, Spain
  • 2Instituto de Biocomputación y Física de Sistemas Complejos (BIFI), 50018 Zaragoza, Spain
  • 3Dipartimento di Fisica, Sapienza Università di Roma, INFN, Sezione di Roma 1, and CNR-Nanotec, I-00185 Rome, Italy
  • 4Dipartimento di Fisica, Sapienza Università di Roma, INFN, Sezione di Roma 1, Italy
  • 5Departamento de Física, Universidad de Extremadura, 06006 Badajoz, Spain
  • 6Instituto de Computación Científica Avanzada (ICCAEx), Universidad de Extremadura, 06006 Badajoz, Spain

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Issue

Vol. 100, Iss. 18 — 1 November 2019

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