Long range motion of domain wall in antiferromagnetic [formula omitted] curved nanowire

Abstract

The theoretical study of domain wall dynamics in a 3D curved nanowire with torsion in an antiferromagnetic environment is presented. The equations of motion for the antiferromagnetic domain wall are derived using the collective variable approach. The curvature induces the Dzyaloshinskii–Moriya interaction, while the torsion induces an anisotropy term. The forces resulting from their gradients drive the domain wall in opposite directions in a stable state. A curve has been designed to allow the domain wall to move spontaneously over long distances. All analytical predictions are confirmed through numerical simulations.