Vesignieite: a $S = \frac{1}{2}$ kagome antiferromagnet with dominant third-neighbor exchange
D. Boldrin, B. F{\aa}k, E. Can\'evet, J. Ollivier, H. C. Walker, P., Manuel, D. Khalyavin, A. S. Wills

TL;DR
This study reveals that deuterated vesignieite, a nearly distortion-free $S=1/2$ kagome antiferromagnet, exhibits magnetic order driven primarily by third-neighbor exchange interactions, confirmed through neutron scattering and spin-wave analysis.
Contribution
It demonstrates that a dominant third-neighbor exchange $J_3$ stabilizes magnetic order in vesignieite, highlighting the importance of longer-range interactions in kagome antiferromagnets.
Findings
Vesignieite orders magnetically at 9K with a multi-k coplanar structure.
The magnetic behavior is primarily governed by a $J_3$ exchange interaction.
The spin-wave spectrum aligns with a $J_3$-only model including slight anisotropy.
Abstract
The spin- kagome antiferromagnet is an archetypal frustrated system predicted to host a variety of exotic magnetic states. We show using neutron scattering measurements that deuterated vesignieite BaCuVO(OD), a fully stoichiometric kagome magnet with 1% lattice distortion, orders magnetically at K into a multi-k coplanar variant of the predicted triple-k octahedral structure. We find this structure is stabilized by a dominant antiferromagnetic 3-neighbor exchange with minor 1- or 2--neighbour exchange. The spin-wave spectrum is well described by a -only model including a tiny symmetric exchange anisotropy.
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