论文标题

一些完全可解决且可调的挫败旋转模型

Some exactly solvable and tunable frustrated spin models

论文作者

Caravelli, Francesco

论文摘要

我们讨论了几何挫败感的三种确切可解决的自旋模型。首先,我们讨论了16个顶点模型的1参数亚家族,可以将其映射到平面模型并通过Fisher-Dubedát装饰解决。然后,我们考虑对小人完全沮丧的模型的1参数家庭概括,该模型在Onsager的2D Ising模型与小人之间进行了插值。然后,我们讨论一棵树上的旋转冰模型,可以使用递归\ textit {aláBethe}精确地解决。

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 \textit{a lá Bethe}.

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