Critical aspects of three-dimensional anisotropic spin-glass models

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

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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

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Spin glass
spin glass
Glass transition
Ising model
tempering
Exchange interactions
cubic lattices
Tempering
Superconducting transition temperature
Phase diagrams
transition temperature
phase diagrams
scaling
glass
interactions
Direction compound

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

Cite this

Critical aspects of three-dimensional anisotropic spin-glass models. / Papakonstantinou, T.; Fytas, Nikolaos; Malakis, A.; Lelidis, I.

In: European Physical Journal B, Vol. 88, No. 4, 2015.

Research output: Contribution to journalArticle

Papakonstantinou, T. ; Fytas, Nikolaos ; Malakis, A. ; Lelidis, I. / Critical aspects of three-dimensional anisotropic spin-glass models. In: European Physical Journal B. 2015 ; Vol. 88, No. 4.
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