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We explore the relationship among the magnetic ordering in real space, theresulting spin texture on the Fermi surface, and the related superconductinggap structure in non-collinear antiferromagnetic metals without spin-orbitcoupling. Via a perturbative approach, we show that a non-collinear magneticordering in a metal can generate a momentum-dependent spin texture on its Fermisurface, even in the absence of spin-orbit coupling, if the metal has more thanthree sublattices in its magnetic unit cell. Thus, our theory naturally extendsthe idea of altermagnetism to non-collinear spin structures. Whensuperconductivity is developed in a magnetic metal, as the gap-openingcondition is strongly constrained by the spin texture, the nodal structure ofthe superconducting state is also enforced by the magnetism-induced spintexture. Taking the non-collinear antiferromagnet on the kagome lattice as arepresentative example, we demonstrate how the Fermi surface spin textureinduced by noncollinear antiferromagnetism naturally leads to odd-parityspin-triplet superconductivity with nontrivial topological properties.

Fermi Surface Spin Texture and Topological Superconductivity in Spin-Orbit Free Non-Collinear Antiferromagnets