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Some exactly solvable and tunable frustrated spin models

Caravelli, Francesco
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Abstract

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.

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Caravelli, Francesco. 2022-02-02. Some exactly solvable and tunable frustrated spin models. https://doi.org/10.1016/j.physa.2022.127007

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