Some exactly solvable and tunable frustrated spin models

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...

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Veröffentlicht in:	Physica A 2022-05, Vol.594, p.127007, Article 127007
1. Verfasser:	Caravelli, F.
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact solutions exactly solvable Frustration mathematics PHYSICS OF ELEMENTARY PARTICLES AND FIELDS Spin ice spin models
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description	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.
doi_str_mv	10.1016/j.physa.2022.127007
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(LANL), Los Alamos, NM (United States)</creatorcontrib><title>Some exactly solvable and tunable frustrated spin models</title><title>Physica A</title><description>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. 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title	Some exactly solvable and tunable frustrated spin models
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