Work

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

Year: 2022

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2201.00176

Authors: Björnberg, Jakob E., Lees, Benjamin

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4226036049

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