Spin superfluidity in noncollinear antiferromagnets

We explore the spin superfluid transport in exchange interaction dominated three-sublattice antiferromagnets. The system long-wavelength regime is described by an $SO(3)$ invariant field theory. Additional corrections from Dzyaloshinskii-Moriya interactions or anisotropies can break symmetry; however, still approximately holds a $U(1)$-rotation symmetry. Thus, power-law spatial decay signature of superfluidity identified nonlocal-measurement setup where injection generalized spin-mixing conductance. suggest iron jarosites as promising material candidates for realizing our proposal.