Critical aspects of three-dimensional anisotropic spin-glass models

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

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    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
    Issue number4
    Publication statusPublished - 2015

    Bibliographical note

    The final publication is available at Springer via


    • 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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