Critical aspects of three-dimensional anisotropic spin-glass models

T. Papakonstantinou, Nikolaos Fytas, A. Malakis, I. Lelidis

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2 Citations (Scopus)
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Abstract

We study the three-dimensional ± J Ising model with a longitudinal anisotropic bond randomness on the simple cubic lattice. The random exchange interaction is applied only in the z direction, whereas in the other two directions, xy-planes, we consider ferromagnetic exchange. By implementing an effective parallel tempering scheme, we outline the phase diagram of the model and compare it to the corresponding isotropic one. We present a detailed finite-size scaling analysis of the ferromagnetic-paramagnetic and spin glass-paramagnetic transition lines, and we also discuss the ferromagnetic-spin glass transition regime. We conclude that the present model shares the same universality classes with the isotropic model, but at the symmetric point has a considerably higher transition temperature from the spin-glass state to the paramagnetic phase. Our data for the ferromagnetic-spin glass transition line support a forward behavior in contrast to the reentrant behavior of the corresponding isotropic model.
Original languageEnglish
JournalEuropean Physical Journal B
Volume88
Issue number4
DOIs
Publication statusPublished - 2015

Bibliographical note

The final publication is available at Springer via http://dx.doi.org/10.1140/epjb/e2015-50864-4.

Keywords

  • Anisotropy
  • Ferromagnetic materials
  • Ferromagnetism
  • Glass
  • Ising model
  • Paramagnetism
  • Spin glass
  • Ferromagnetic exchange
  • Ferromagnetic spin
  • Ferromagnetic-paramagnetic
  • Finite-size scaling analysis
  • Paramagnetic transition
  • Simple-cubic lattices
  • Statistical and Nonlinear Physics
  • Universality class
  • Glass transition

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