Correlation inequalities for the uniform eight-vertex model and the toric code model
Journal article, 2023

We investigate 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.

Eight-vertex model

toric code model

Ising model

Author

Jakob Björnberg

Chalmers, Mathematical Sciences, Analysis and Probability Theory

University of Gothenburg

B. Lees

University of Leeds

Published in

Reviews in Mathematical Physics

0129-055X (ISSN) 17936659 (eISSN)

Vol. 35 Issue 10 art. no 2350029

Categorizing

Subject Categories (SSIF 2011)

Probability Theory and Statistics

Condensed Matter Physics

Identifiers

DOI

10.1142/S0129055X23500290

More information

Latest update

3/7/2024 9