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

Abstract

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, the anisotropic and chiral responses of low-dimensional antifferromagnets 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 $\sigma$-model and offer an additional degree of freedom in the design of spintronic and magnonic devices.

5 pages, 3 figures, 1 table, 33 references, supplementary information

References in corpus (5)

• Curvature effects in statics and dynamics of low dimensional magnets
• Nanoscale mechanics of antiferromagnetic domain walls
• Antiferromagnetic Piezospintronics
• Curvilinear one-dimensional antiferromagnets
• Boundary conditions for the Néel order parameter in a chiral antiferromagnetic slab

Cited by in corpus (8)

• Mesoscopic magnetic systems: from fundamental properties to devices
• Control of magnetic response in curved stripes by tailoring cross-section
• Curvilinear manipulation of polarized spin wave
• Manipulation by magnetic frustration in ferrotoroidal spin chains via curvature and torsion
• Characterization of partially accessible anisotropic spin chains in the presence of anti-symmetric exchange
• Dynamics of domain walls in curved antiferromagnetic wires
• Field-induced spin reorientation transitions in antiferromagnetic ring-shaped spin chains
• Modern triad for magnetic material science: geometric shape, electronic bands and spin textures