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

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.

Citation

Grigera , S & Hooley , C 2018 , ' Entropy as a function of magnetisation for a 2D spin-ice model exhibiting a Kasteleyn transition ' , Journal of Physics Communications , vol. 2 , no. 8 , 085004 . https://doi.org/10.1088/2399-6528/aad492

Publication

Journal of Physics Communications

Status

Peer reviewed

DOI

https://doi.org/10.1088/2399-6528/aad492

ISSN

2399-6528

Type

Journal article

Rights

© 2018 The Author(s). Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

Description

This research was supported in part by the National Science Foundation under Grant No. NSF PHY11-25915. CAH also gratefully acknowledges financial support from the EPSRC (UK) via grant number EP/I031014/1. SAG would like to acknowledge financial support from CONICET, and ANPCYT (Argentina) via grant PICT-2013-2004.

Collections

University of St Andrews Research

URI

http://hdl.handle.net/10023/15764