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The interfacial Dzyaloshinskii-Moriya interaction (DMI) of a heavy metal(HM)/ferromagnetic (FM) metal heterostructure is vital to the current-induceddomain wall motion (CIDWM) at an ultrahigh velocity. However, strong DMI alsotilts the moving domain wall (DW) plane, and the mechanism for this tilting isnot quite clear. In this work, we have found that this tilting may beunderstood based on a micromagnetic calculation from a microscopic dynamicalperspective. The DMI-induced antisymmetric moment structure at the twoboundaries of the track needs to be paid attention. In the early stage of CIDWMinduced by spin-orbit torque, this antisymmetry is destroyed. Afterwards, themoments at the two boundaries experience distinct rotation processes withdifferent energy paths towards their final stable antisymmetric momentstructure. This results in different initial velocities of the local DW regionsat the two boundaries. In mathematics, this distinct DW dynamical progresses atthe two boundaries can be approximately revealed by modifying the initialconditions for solving the Thiele equations.

The reason for the tilting of domain wall with Dzyaloshinskii-Moriya interaction from a microscopic dynamical perspective