Depleted pyrochlore antiferromagnets

TL;DR

This paper explores the properties of depleted pyrochlore antiferromagnets, identifying conditions for magnetic ordering and analyzing correlations in both regular and random depleted lattices.

Contribution

It introduces criteria based on loops for magnetic order in depleted pyrochlore lattices and extends the understanding of pseudo-dipolar correlations to random cases.

Findings

Criteria for order based on loop structures

Generalization of correlations to random depleted lattices

Examples include hyperkagome and kagome staircase

Abstract

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.