Prediction of topological Hall effect in a driven magnetic domain wall

TL;DR

This paper predicts the emergence of the topological Hall effect in driven magnetic domain walls through numerical simulations, suggesting new ways to electrically detect dynamic spin structures in magnetic materials.

Contribution

It demonstrates that the topological Hall effect can occur in topologically trivial magnetic domain walls under non-equilibrium conditions, influenced by DMI and magnetic fields.

Findings

Emergent magnetic flux appears in non-equilibrium domain walls.

Magnetic flux magnitude is modulated by DMI and magnetic field.

THE can be observed even in topologically trivial DWs.

Abstract

We investigate the possible emergence of topological Hall effect (THE) in a driven magnetic DW. Numerical simulation based on the Landau-Lifshitz-Gilbert-Slonczewski (LLGS) equation shows that the emergent magnetic flux appears when the DW is in a non-equilibrium state. The magnitude of magnetic flux is modulated by Dzyaloshinskii-Moriya interaction (DMI) or in-plane longitudinal magnetic field, providing an experimental test of the predicted THE. These results indicate that the THE can be observed even in a topologically trivial magnetic DW, and therefore open up new possibility to electrically detect the dynamical spin structure.