Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2000-09-14
Phys. Rev. Lett. {87}, 067203 (2001)
Physics
Condensed Matter
Disordered Systems and Neural Networks
New version of the manuscript. Now contains 3 POSTSCRIPT figures as opposed to 2 figures. Manuscript contains a more detailed
Scientific paper
10.1103/PhysRevLett.87.067203
Recently it has been suggested that long range magnetic dipolar interactions are responsible for spin ice behavior in the Ising pyrochlore magnets ${\rm Dy_{2}Ti_{2}O_{7}}$ and ${\rm Ho_{2}Ti_{2}O_{7}}$. We report here numerical results on the low temperature properties of the dipolar spin ice model, obtained via a new loop algorithm which greatly improves the dynamics at low temperature. We recover the previously reported missing entropy in this model, and find a first order transition to a long range ordered phase with zero total magnetization at very low temperature. We discuss the relevance of these results to ${\rm Dy_{2}Ti_{2}O_{7}}$ and ${\rm Ho_{2}Ti_{2}O_{7}}$.
den Hertog Byron C.
Gingras Michel J. -P.
Melko Roger G.
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