Depleted pyrochlore antiferromagnets

Details Depleted pyrochlore antiferromagnets Depleted pyrochlore antiferromagnets

2008-08-30

arxiv.org/abs/0809.0079v1

Physics

Condensed Matter

Statistical Mechanics

6pp IOP latex, 1 figure; Proc. "Highly Frustrated Magnetism 2008", Sept 2008, Braunschweig

Scientific paper

10.1088/1742-6596/145/1/012022

I consider the class of "depleted pyrochlore" lattices of corner-sharing triangles, made by removing spins from a pyrochlore lattice such that every tetrahedron loses exactly one. Previously known examples are the "hyperkagome" and "kagome staircase". I give criteria in terms of loops for whether a given depleted lattice can order analogous to the kagome \sqrt{3} \times \sqrt{three} state, and also show how the pseudo-dipolar correlations (due to local constraints) generalize to even the random depleted case.

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