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

Santiago Grigera; Christopher Hooley

doi:10.1088/2399-6528/aad492

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

Santiago Grigera, Christopher Hooley

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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.

Original language	English
Article number	085004
Number of pages	10
Journal	Journal of Physics Communications
Volume	2
Issue number	8
Early online date	1 Aug 2018
DOIs	https://doi.org/10.1088/2399-6528/aad492
Publication status	Published - Aug 2018

Keywords

Kasteleyn transition
Magnetization
2D spin-ice

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Grigera_2018_J._Phys._Commun._2_085004
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Topological Protection and NonEquilibriu: Topological Protection and NonEquilibrium States in Strongly Correlated Electron Systems
Wahl, P. (PI), Baumberger, F. (CoI), Davis, J. C. (CoI), Green, A. (CoI), Hooley, C. (CoI), Keeling, J. M. J. (CoI) & Mackenzie, A. (CoI)
EPSRC
1/09/11 → 31/08/17
Project: Standard

Cite this

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

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.",

keywords = "Kasteleyn transition, Magnetization, 2D spin-ice",

author = "Santiago Grigera and Christopher Hooley",

note = "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.",

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AU - Grigera, Santiago

AU - Hooley, Christopher

N1 - 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.

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N2 - 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.

AB - 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.

KW - Kasteleyn transition

KW - Magnetization

KW - 2D spin-ice

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DO - 10.1088/2399-6528/aad492

M3 - Article

SN - 2399-6528

VL - 2

JO - Journal of Physics Communications

JF - Journal of Physics Communications

IS - 8

M1 - 085004

ER -

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

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Keywords

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Topological Protection and NonEquilibriu: Topological Protection and NonEquilibrium States in Strongly Correlated Electron Systems

Cite this