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16 March 2025

» arxiv » 2201.00176

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Correlation inequalities for the uniform 8-vertex model and the toric code model
Jakob E. Björnberg ; Benjamin Lees ;
Date:	1 Jan 2022
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, 2201.00176
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