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Article Dans Une Revue Physical Review Letters Année : 2005

Why spin ice obeys the ice rules

Résumé

The low temperature entropy of the the spin ice compounds, such as Ho$_2$Ti$_2$O$_7$ and Dy$_2$Ti$_2$O$_7$, is well described by the nearest-neighbor antiferromagnetic Ising model on the pyrochlore lattice, i.e.\ by the ``ice rules''. This is surprising since the dominant coupling between the spins is their long ranged dipole interaction. We show that this phenomenon can be understood rather elegantly: one can construct a model dipole interaction, by adding terms of shorter range, which yields {\it precisely} the same ground states, and hence T=0 entropy, as the nearest neighbor interaction. A treatment of the small difference between the model and true dipole interactions reproduces the numerical work by Gingras et al in detail. We are also led to a more general concept of projective equivalence between interactions.

Dates et versions

hal-00298514 , version 1 (16-07-2008)

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Citer

R. Moessner, S. L. Sondhi, S. V. Isakov. Why spin ice obeys the ice rules. Physical Review Letters, 2005, 95, pp.217201. ⟨hal-00298514⟩
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