Dipolar spin correlations in classical pyrochlore magnets

We study spin correlations for the highly frustrated classical pyrochlore lattice antiferromagnets with O(N) symmetry in the limit T-->0. We conjecture that a local constraint obeyed by the extensively degenerate ground states dictates a dipolar form for the asymptotic spin correlations, at all N...

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Bibliographic Details
Published in:Physical review letters 2004-10, Vol.93 (16), p.167204.1-167204.4, Article 167204
Main Authors: ISAKOV, S. V, GREGOR, K, MOESSNER, R, SONDHI, S. L
Format: Article
Language:English
Subjects:
Condensed Matter
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Exact sciences and technology
General theory and models of magnetic ordering
Magnetic properties and materials
Physics
Statistical Mechanics
Superconductivity
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Summary:We study spin correlations for the highly frustrated classical pyrochlore lattice antiferromagnets with O(N) symmetry in the limit T-->0. We conjecture that a local constraint obeyed by the extensively degenerate ground states dictates a dipolar form for the asymptotic spin correlations, at all N not equal 2 for which the system is paramagnetic down to T=0. We verify this conjecture in the cases N=1 and N=3 by simulations and to all orders in the 1/N expansion about the solvable N=infinity limit. Remarkably, the N=infinity formulas are an excellent fit, at all distances, to the correlators at N=3 and even at N=1. Thus we obtain a simple analytical expression also for the correlations of the equivalent models of spin ice and cubic water ice, Ic.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.93.167204