Spin folding in the two-dimensional Heisenberg kagomé antiferromagnet

Spin-folding modes in the two-dimensional Heisenberg kagomé antiferromagnet favor coplanar spin configurations with three-spin tensor order and non-Abelian homotopy. With weak xy anisotropy, binding of the associated disclinations yields a coplanar state whose spin configuration depends on the order of pairing. The resulting metastable states exhibits a broad distribution of order parameters. Supporting numerical studies are presented and the related system SrCr8-xGa4+xO19 is discussed.