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arXiv · 2201.11598

Some exactly solvable and tunable frustrated spin models

Francesco Caravelli
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Abstract

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-Dubed\'{a}t 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 \textit{a l\'{a} Bethe}.

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Francesco Caravelli. 2022-01-27. Some exactly solvable and tunable frustrated spin models. https://doi.org/10.1016/j.physa.2022.127007

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