Fragmented spin ice and multi-$k$ ordering in rare-earth antiperovskites

Abstract

We study near-neighbour and dipolar Ising models on a lattice of corner-sharing octahedra. In an extended parameter range of both models, frustration between antiferromagnetism and a spin-ice-like three-in-three-out rule stabilises a Coulomb phase with correlated dipolar and quadrupolar spin textures, both yielding distinctive neutron-scattering signatures. Strong further-neighbour perturbations cause the two components to order independently, resulting in unusual multi-$k$ orders. We propose experimental realisations of our model in rare-earth antiperovskites.

Authors' final version. 6+12 pages, 5+6 figures, 0+4 tables with supplementary text. Ancillary mcif files illustrate the ordered phases

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• Fully-frustrated octahedral antiferromagnets: emergent complexity in external field
• Field-tunable quadruple-$Q$ states driven by momentum-space frustration