2004/07/01 by S. V. Isakov, K. Gregor, R. Moessner +1 · 1 citation
Physics and Astronomy · #cond-mat.dis-nn #cond-mat.stat-mech #cond-mat.str-el #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevlett.93.167204
published as Phys. Rev. Lett. 93, 167204 (2004) · 4 pages revtex4
arxiv created 2004/07/01 · arxiv updated 2016/08/31
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 ≠ 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 formulae 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, Ih.