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-Dubedat 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 la Bethe.(C) 2022 Elsevier B.V. All rights reserved.

Automated summary

In this article, three exactly solvable spin models of geometric frustration are discussed. These models include a subfamily of the 16 vertex model, a generalization of Villain's fully frustrated model, and spin ice models on a tree.