Domain-wall drift in a ferrimagnet induced by a linearly oscillating in-plane magnetic field

Murod Mirzhalilov; Jacob Freyermuth

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arXiv · 2606.23831

Domain-wall drift in a ferrimagnet induced by a linearly oscillating in-plane magnetic field

Murod Mirzhalilov·Jacob Freyermuth

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Abstract

We investigate ferrimagnetic domain-wall dynamics under linearly oscillating in-plane magnetic fields. Starting from a ferrimagnetic Lagrangian that retains the field-dependent contribution to the kinetic energy, we derive collective-coordinate equations for the domain-wall position and azimuthal angle. This formulation makes explicit the field-induced inertial terms, including Coriolis-, Euler-, and centrifugal-like contributions, and clarifies how they couple translational and azimuthal dynamics. For an oscillating in-plane field supplemented by a weak static out-of-plane bias field, we show that periodic switching of the wall angle can be rectified into a finite average domain-wall velocity. At low drive frequencies, where the wall angle follows the oscillating field, the induced drift is proportional to the drive frequency rather than the field amplitude, while above a cutoff frequency the wall angle can no longer follow the drive and the average motion is suppressed. Micromagnetic simulations confirm the analytical predictions and demonstrate that the magnitude and direction of the drift can be tuned by the net spin density. These results identify linearly oscillating fields as a mechanism for frequency-controlled domain-wall motion in ferrimagnets and highlight the role of inertial spin dynamics near magnetic compensation.

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Murod Mirzhalilov, Jacob Freyermuth. 2026-06-22. Domain-wall drift in a ferrimagnet induced by a linearly oscillating in-plane magnetic field. https://arxiv.org/abs/2606.23831

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