Correlation inequalities for the uniform 8-vertex model and the toric code model

Jakob E. Björnberg; Benjamin Lees

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arXiv · 2201.00176

Correlation inequalities for the uniform 8-vertex model and the toric code model

Jakob E. Björnberg·Benjamin Lees

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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.

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BibTeX RIS

Jakob E. Björnberg, Benjamin Lees. 2022-01-01. Correlation inequalities for the uniform 8-vertex model and the toric code model. https://arxiv.org/abs/2201.00176

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