Circle patterns and critical Ising models
Mathematical Physics
2019-08-09 v2 math.MP
Probability
Abstract
A circle pattern is an embedding of a planar graph in which each face is inscribed in a circle. We define and prove magnetic criticality of a new family of Ising models on planar graphs whose dual is a circle pattern. Our construction includes as a special case the critical isoradial Ising models of Baxter.
Keywords
Cite
@article{arxiv.1712.08736,
title = {Circle patterns and critical Ising models},
author = {Marcin Lis},
journal= {arXiv preprint arXiv:1712.08736},
year = {2019}
}
Comments
24 pages, section 6 added