Entropy as a function of magnetization for a 2D spin-ice model exhibiting a Kasteleyn transition

TL;DR

This paper investigates the entropy-magnetization relationship in a 2D spin-ice model with a Kasteleyn transition, combining analytical and numerical methods to provide new insights into its thermodynamic behavior.

Contribution

It introduces a more convenient representation of a 2D spin-ice model related to the six-vertex model for analyzing entropy at fixed magnetization.

Findings

Derived approximate expressions for entropy at fixed magnetization.

Identified the model's relation to the six-vertex model.

Discussed potential for quantum Kasteleyn transition deformation.

Abstract

We present a combined analytical and numerical study of the entropy as a function of magnetization for an orientable 2D spin-ice model that exhibits a Kasteleyn transition. The model that we use is related to the well known six-vertex model but, as we show, our representation of it is more convenient for constructing approximate expressions for the entropy at fixed magnetization. We also discuss directions for further work, including the possibility of deforming our model into one exhibiting a quantum Kasteleyn transition.