Boundary correlations for the Z-invariant Ising Model
Combinatorics
2023-12-15 v1 Probability
Abstract
Consider the natural graph associated to a rhombus tiling of a polygonal regionin the plane. The spin correlations between boundary vertices of this graph inthe Z-invariant Ising model do not depend on the choice of the rhombus tilingbut only on the region. We provide a matrix formula depending on the regionwhich allows practical computations of boundary correlations in this setting,extending the results of Galashin in the critical case.
Keywords
Cite
@article{arxiv.2312.08752,
title = {Boundary correlations for the Z-invariant Ising Model},
author = {Tristan Pham-Mariotti},
journal= {arXiv preprint arXiv:2312.08752},
year = {2023}
}