We explore the relationship among the magnetic ordering in real space, the resulting spin texture on the Fermi surface, and the related superconducting gap structure in noncollinear antiferromagnetic metals without spin-orbit coupling. Via a perturbative approach, we show that noncollinear magnetic ordering in a metal can generate momentum-dependent spin texture on its Fermi surface, even in the absence of spin-orbit coupling, if the metal has more than three sublattices in its magnetic unit cell. Thus, our theory naturally extends the idea of altermagnetism to noncollinear spin structures. When superconductivity is developed in a magnetic metal, as the gap-opening condition is strongly constrained by the spin texture, the nodal structure of the superconducting state is also enforced by the magnetism-induced spin texture. Taking the noncollinear antiferromagnet on the kagome lattice as a representative example, we demonstrate how the Fermi surface spin texture induced by noncollinear antiferromagnetism naturally leads to odd-parity spin-triplet superconductivity with nontrivial topological properties.

中文翻译：

---

自旋轨道自由非共线反铁磁体中的费米表面自旋织构和拓扑超导

我们探索了真实空间中的磁序、费米表面上产生的自旋纹理以及无自旋轨道耦合的非共线反铁磁金属中的相关超导带隙结构之间的关系。通过扰动方法，我们表明，如果金属的磁性晶胞中具有三个以上的亚晶格，即使在没有自旋轨道耦合的情况下，金属中的非共线磁序也可以在其费米表面上产生动量相关的自旋纹理。因此，我们的理论自然地将交变磁性的思想扩展到非共线自旋结构。当磁性金属产生超导性时，由于能隙张开条件受到自旋织构的强烈约束，超导态的节点结构也受到磁感自旋织构的强化。以戈薇晶格上的非共线反铁磁体为代表，我们证明了由非共线反铁磁性引起的费米表面自旋织构如何自然地导致具有非平凡拓扑性质的奇宇称自旋三重态超导性。