Some exactly solvable and tunable frustrated spin models
Statistical Mechanics
2022-03-14 v1
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}.
Cite
@article{arxiv.2201.11598,
title = {Some exactly solvable and tunable frustrated spin models},
author = {Francesco Caravelli},
journal= {arXiv preprint arXiv:2201.11598},
year = {2022}
}