  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.
