Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2000-01-25
Phys. Rev. Lett. {84}, 3430 (2000).
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 postscript figures included. Submitted to Physical Review Letters Contact: gingras@gandalf.uwaterloo.ca
Scientific paper
10.1103/PhysRevLett.84.3430
Recent experiments suggest that the Ising pyrochlore magnets ${\rm Ho_{2}Ti_{2}O_{7}}$ and ${\rm Dy_{2}Ti_{2}O_{7}}$ display qualitative properties of the spin ice model proposed by Harris {\it et al.} \prl {\bf 79}, 2554 (1997). We discuss the dipolar energy scale present in both these materials and consider how they can display spin ice behavior {\it despite} the presence of long range interactions. Specifically, we present numerical simulations and a mean field analysis of pyrochlore Ising systems in the presence of nearest neighbor exchange and long range dipolar interactions. We find that two possible phases can occur, a long range ordered antiferromagnetic one and the other dominated by spin ice features. Our quantitative theory is in very good agreement with experimental data on both ${\rm Ho_{2}Ti_{2}O_{7}}$ and ${\rm Dy_{2}Ti_{2}O_{7}}$. We suggest that the nearest neighbor exchange in ${\rm Dy_{2}Ti_{2}O_{7}}$ is {\it antiferromagnetic} and that spin ice behavior is induced by long range dipolar interactions.
den Hertog Byron C.
Gingras Michel J. -P.
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