Self-Induced Glassiness and Pattern Formation in Spin Systems Subject to Long-Range Interactions

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    Abstract

    We study the glass formation in two- and three-dimensional Ising and Heisenberg spin systems subject to competing interactions and uniaxial anisotropy with a mean-field approach. In three dimensions, for sufficiently strong anisotropy the systems always modulate in a striped phase. Below a critical strength of the anisotropy, a glassy phase exists in a finite range of temperature, and it becomes more stable as the system becomes more isotropic. In two dimensions the criticality is always avoided and the glassy phase always exists.
    Original languageEnglish
    Pages (from-to)137201
    JournalPhysical Review Letters
    Volume117
    Early online date21 Sep 2016
    DOIs
    Publication statusPublished - 2016

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