Curvature-driven homogeneous Dzyaloshinskii–Moriya interaction and emergent weak ferromagnetism in anisotropic antiferromagnetic spin chains

Chiral antiferromagnets are currently considered for broad range of applications in spintronics, spin-orbitronics and magnonics. In contrast to the established approach relying on materials screening, anisotropic chiral responses low-dimensional antifferromagnets can be tailored geometrical curvature. Here, we consider an achiral, antiferromagnetic spin chain demonstrate that these systems possess geometry-driven effects stemming not only from exchange interaction but also anisotropy. Peculiarly, anisotropy-driven complementary curvature rather strong as they linear These responsible tilt equilibrium direction vector order parameters appearance homogeneous Dzyaloshinskii-Moriya interaction. The latter is a source weak ferromagnetism emerging curvilinear chains. Our findings provide deeper fundamental insight into physics beyond $\sigma$-model offer additional degree freedom design spintronic magnonic devices.