Correlation inequalities for the uniform 8-vertex model and the toric code model
Probability
2022-01-04 v1 Mathematical Physics
math.MP
Abstract
We elucidate connections between four models in statistical physics and probability theory: (1) the toric code model of Kitaev, (2) the uniform eight-vertex model, (3) random walk on a hypercube, and (4) a classical Ising model with four-body interaction. As a consequence of our analysis (and of the GKS-inequalities for the Ising model) we obtain correlation inequalities for the toric code model and the uniform eight-vertex model.
Cite
@article{arxiv.2201.00176,
title = {Correlation inequalities for the uniform 8-vertex model and the toric code model},
author = {Jakob E. Björnberg and Benjamin Lees},
journal= {arXiv preprint arXiv:2201.00176},
year = {2022}
}
Comments
23 pages, 5 figures. Comments welcome