# 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.

## Key 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.

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Source: https://tomesphere.com/paper/1907.01648