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arXiv · 1712.00757

Berezinskii-Kosterlitz-Thouless and Vogel-Fulcher-Tammann criticality in $\mathrm{XY}$ model

M. G. Vasin·V. N. Ryzhov·V. M. Vinokur
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Abstract

We develop a gauge theory of the critical behavior of the topological excitations-driven Berezinskii-Kosterlitz-Thouless (BKT) phase transition in the XY model with weak quenched disorder. We find that while in two-dimensions the liquid of topological defects exhibits the BKT critical behavior, the three-dimensional system shows more singular Vogel-Fulcher-Tamman criticality heralding its freezing into a spin glass. Our findings provide insights into the topological origin of spin glass formation.

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M. G. Vasin, V. N. Ryzhov, V. M. Vinokur. 2017-12-03. Berezinskii-Kosterlitz-Thouless and Vogel-Fulcher-Tammann criticality in $\mathrm{XY}$ model. https://arxiv.org/abs/1712.00757

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