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Deep spin-glass hysteresis-area collapse and scaling in the three-dimensional ±J Ising model

Ozan S. Sarıyer1, Alkan Kabakçıoğlu1, and A. Nihat Berker2,3

  • 1Department of Physics, Koç University, Sarıyer 34450, Istanbul, Turkey
  • 2Faculty of Engineering and Natural Sciences, Sabancı University, Orhanlı, Tuzla 34956, Istanbul, Turkey
  • 3Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

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Phys. Rev. E 86, 041107 – Published 5 October, 2012

DOI: https://doi.org/10.1103/PhysRevE.86.041107

Abstract

We investigate the dissipative loss in the ±J Ising spin glass in three dimensions through the scaling of the hysteresis area, for a maximum magnetic field that is equal to the saturation field. We perform a systematic analysis for the whole range of the bond randomness as a function of the sweep rate by means of frustration-preserving hard-spin mean-field theory. Data collapse within the entirety of the spin-glass phase driven adiabatically (i.e., infinitely slow field variation) is found, revealing a power-law scaling of the hysteresis area as a function of the antiferromagnetic bond fraction and the temperature. Two dynamic regimes separated by a threshold frequency ωc characterize the dependence on the sweep rate of the oscillating field. For ω<ωc, the hysteresis area is equal to its value in the adiabatic limit ω=0, while for ω>ωc it increases with the frequency through another randomness-dependent power law.

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Phys. Rev. E 86, 041107– Published 5 October, 2012
  • Received 31 May 2012

©2012 American Physical Society

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