Random Field Induced Order in Low Dimension I [PDF]
Nicholas CrawfordConsider the classical XY model in a weak random external field pointing along the Y axis with strength $\epsilon$. We prove that the model defined on $\Z^3$ with nearest neighbor coupling exhibits residual magnetic order in the horizontal direction for arbitrarily weak random field strengths and, depending on field strength, sufficiently low temperature.View original: http://arxiv.org/abs/1208.3149
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