Berezinskii-Kosterlitz-Thouless and Vogel-Fulcher-Tammann criticality in $\mathrm{XY}$ model
Statistical Mechanics
2018-01-11 v3
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.
Keywords
Cite
@article{arxiv.1712.00757,
title = {Berezinskii-Kosterlitz-Thouless and Vogel-Fulcher-Tammann criticality in $\mathrm{XY}$ model},
author = {M. G. Vasin and V. N. Ryzhov and V. M. Vinokur},
journal= {arXiv preprint arXiv:1712.00757},
year = {2018}
}
Comments
7 figures