Boundary critical behavior of the three-dimensional Heisenberg universality class
Abstract
We study the boundary critical behavior of the three-dimensional Heisenberg universality class, in the presence of a bidimensional surface. By means of high-precision Monte Carlo simulations of an improved lattice model, where leading bulk scaling corrections are suppressed, we prove the existence of a special phase transition, with unusual exponents, and of an extraordinary phase with logarithmically decaying correlations. These findings contrast with na\"ive arguments on the bulk-surface phase diagram, and allow us to explain some recent puzzling results on the boundary critical behavior of quantum spin models.
Keywords
Cite
@article{arxiv.2012.00039,
title = {Boundary critical behavior of the three-dimensional Heisenberg universality class},
author = {Francesco Parisen Toldin},
journal= {arXiv preprint arXiv:2012.00039},
year = {2025}
}
Comments
11 pages, 3 figures, including Supplemental Material; v2: expanded discussion and technical details, results unchanged, 12 pages, 3 figures including Supplemental Material; v3: incorporates erratum, correct fit of helicity modulus, other results unchanged, 12 pages, 3 figures