Abstract
Chiral antiferromagnets are currently considered for a broad range of applications in spintronics, spin-orbitronics, and magnonics. In contrast to the established approach relying on materials screening, the anisotropic and chiral responses of low-dimensional antiferromagnets can be tailored relying on the geometrical curvature. Here, we consider an achiral, anisotropic antiferromagnetic spin chain and demonstrate that these systems possess geometry-driven effects stemming not only from the exchange interaction but also from the anisotropy. Peculiarly, the anisotropy-driven effects are complementary to the curvature effects stemming from the exchange interaction and rather strong as they are linear in curvature. These effects are responsible for the tilt of the equilibrium direction of vector order parameters and the appearance of the homogeneous Dzyaloshinskii–Moriya interaction. The latter is a source of the geometry-driven weak ferromagnetism emerging in curvilinear antiferromagnetic spin chains. Our findings provide a deeper fundamental insight into the physics of curvilinear antiferromagnets beyond the σ-model and offer an additional degree of freedom in the design of spintronic and magnonic devices.
Highlights
The local break of the inversion symmetry leads to the DMI12,13 and staggered spin–orbit torques.14 This enables an efficient interaction between the electrical current and magnetic textures, resulting in ultrahigh velocities of magnetic solitons.15,16 In addition to the intrinsic properties of the crystal lattice, the magnetic responses can be tuned by the geometry of the samples, which allows us to utilize boundary conditions17,18 and geometrical curvatures to design noncollinear magnetic states19 and dispersion curves
In contrast to the established approach relying on materials screening, the anisotropic and chiral responses of low-dimensional antiferromagnets can be tailored relying on the geometrical curvature
The anisotropy-driven effects are complementary to the curvature effects stemming from the exchange interaction and rather strong as they are linear in curvature
Summary
The local break of the inversion symmetry leads to the DMI12,13 and staggered spin–orbit torques.14 This enables an efficient interaction between the electrical current and magnetic textures, resulting in ultrahigh velocities of magnetic solitons.15,16 In addition to the intrinsic properties of the crystal lattice, the magnetic responses can be tuned by the geometry of the samples, which allows us to utilize boundary conditions17,18 and geometrical curvatures to design noncollinear magnetic states19 and dispersion curves.20. We consider an achiral, anisotropic antiferromagnetic spin chain and demonstrate that these systems possess geometry-driven effects stemming from the exchange interaction and from the anisotropy.
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