Some exactly solvable and tunable frustrated spin models

Journal Article · 01 February 2022 · Physica. A

DOI: https://doi.org/10.1016/j.physa.2022.127007 · OSTI ID:1845262

Caravelli, Francesco  ^[1]

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1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

In this report we discuss three exactly solvable spin models of geometric frustration. First, we discuss a 1-parameter subfamily of the 16 vertex model, which can be mapped to a planar Ising model and solved via Fisher-Dubedát decorations. We then consider a 1-parameter family generalization of the Villain’s fully frustrated model, which interpolates between Onsager’s 2D Ising model and the Villain one. We then discuss spin ice models on a tree, which can be solved exactly using recursions a lá Bethe.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA)
• Grant/Contract Number: 89233218CNA000001; AC52-06NA25396
• OSTI ID: 1845262
• Report Number(s): LA-UR-21-30815
• Journal Information: Physica. A, Journal Name: Physica. A Vol. 594; ISSN 0378-4371
• Publisher: ElsevierCopyright Statement
• Country of Publication: United States
• Language: English