Self-induced glassiness and pattern formation in spin systems subject to long-range interactions

Alessandro Principi; Mikhail I. Katsnelson

doi:10.1103/physrevlett.117.137201

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arXiv · 1606.03458

Self-induced glassiness and pattern formation in spin systems subject to long-range interactions

Alessandro Principi·Mikhail I. Katsnelson

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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 modulates 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 dimension the criticality is always avoided and the glassy phase always exists.

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Alessandro Principi, Mikhail I. Katsnelson. 2016-06-10. Self-induced glassiness and pattern formation in spin systems subject to long-range interactions. https://doi.org/10.1103/physrevlett.117.137201

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