Self-induced glassiness and pattern formation in spin systems subject to long-range interactions
Mesoscale and Nanoscale Physics
2016-09-28 v1 Disordered Systems and Neural Networks
Statistical Mechanics
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.
Keywords
Cite
@article{arxiv.1606.03458,
title = {Self-induced glassiness and pattern formation in spin systems subject to long-range interactions},
author = {Alessandro Principi and Mikhail I. Katsnelson},
journal= {arXiv preprint arXiv:1606.03458},
year = {2016}
}
Comments
4 pages, 4 figures