The 1/9 magnetization plateau in the spin-1/2 kagome Heisenberg antiferromagnet is claimed to be a 3x3 windmill valence-bond crystal, not a chiral spin liquid or a sqrt3 x sqrt3 VBC.
Kawamura, Spin wave analysis of the antiferromagnetic plane rotator model on the triangular lattice - symmetry breaking in a magnetic field, J.Phys.Soc.Jpn
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Variational study of the magnetization plateaus of the spin-$\frac{1}{2}$ kagome Heisenberg antiferromagnet and its implication on YCOB
The 1/9 magnetization plateau in the spin-1/2 kagome Heisenberg antiferromagnet is claimed to be a 3x3 windmill valence-bond crystal, not a chiral spin liquid or a sqrt3 x sqrt3 VBC.