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in Journal of Physics: Conference Series: Vol. 145 - HIGHLY FRUSTRATED MAGNETISM 2008, Braunschweig : Germany (2008)
ensl-00366133, version 1
arXiv:0903.1155
Physique/Matière Condensée/Mécanique statistique
The Kasteleyn transition in three dimensions: spin ice in a [100] field
Ludovic D. C. Jaubert1, J. T. Chalker2, Peter C.W. Holdsworth1, R. Moessner3
1 :  Phys-ENS - Laboratoire de Physique de l'ENS Lyon
2 :  Theoretical Physics, Oxford University
3 :  MPIPKS - Max-Plack-Institut für Physik komplexer Systeme
[Physique théorique]
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.
Anglais
spin ice – frustration – phase transition – Kasteleyn – magnetic field
European Science Foundation PESC/RNP/HFM
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