Björnberg, J.E. and Lees, B. (2023) Correlation inequalities for the uniform eight-vertex model and the toric code model. Reviews in Mathematical Physics, 35 (10). 2350029. ISSN 0129-055X
Abstract
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | This item is protected by copyright. This is an author produced version of an article published in Reviews in Mathematical Physics. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Eight-vertex model; toric code model; Ising model |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Statistics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 27 Jan 2025 14:46 |
Last Modified: | 27 Jan 2025 14:46 |
Status: | Published |
Publisher: | World Scientific Publishing |
Identification Number: | 10.1142/s0129055x23500290 |
Sustainable Development Goals: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:222301 |