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We show that the Dzyaloshinskii-Moriya interaction (DMI) can lead to atilting of the domain wall (DW) surface in perpendicularly magnetized magneticnanotracks when DW dynamics is driven by an easy axis magnetic field or a spinpolarized current. The DW tilting affects the DW dynamics for large DMI and thetilting relaxation time can be very large as it scales with the square of thetrack width. The results are well explained by an analytical model based on aLagrangian approach where the DMI and the DW tilting are included. We propose asimple way to estimate the DMI in a magnetic multilayers by measuring thedependence of the DW tilt angle on a transverse static magnetic field. Ourresults shed light on the current induced DW tilting observed recently in Co/Nimultilayers with inversion asymmetry, and further support the presence of DMIin these systems.

Domain wall tilting in the presence of the Dzyaloshinskii-Moriya interaction in out-of-plane magnetized magnetic nanotracks