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arXiv · 0903.1155

The Kasteleyn transition in three dimensions: spin ice in a [100] field

Ludovic D. C. Jaubert·J. T. Chalker·P. C. W. Holdsworth·R. Moessner
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Abstract

We discuss the nearest neighbour spin ice model in the presence of a magnetic field placed along the cubic [100] direction. As recently shown in Phys. Rev. Lett. 100, 067207, 2008, the symmetry sustaining ordering transition observed at low temperature is a three dimensional Kasteleyn transition. We confirm this with numerical data using a non-local algorithm that conserves the topological constraints at low temperature and from analytic calculations from a Bethe lattice of corner sharing tetrahedra . We present a thermodynamic description of the Kasteleyn transition and discuss the relevance of our results to recent neutron scattering experiments on spin ice materials.

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Ludovic D. C. Jaubert, J. T. Chalker, P. C. W. Holdsworth, R. Moessner. 2009-03-06. The Kasteleyn transition in three dimensions: spin ice in a [100] field. https://doi.org/10.1088/1742-6596%2F145%2F1%2F012024

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