Vortex Chaotic Dynamics in a Cross-Tie Domain Wall

In high-sensitivity magnetic sensors, micro-sized magnetically-soft islands function as magnetic field detectors, featuring magnetic configurations composed of multiple domains, potentially containing cross-tie domain walls. Employing micromagnetics simulations, we examine the chaotic dynamics of a vortex within a cross-tie domain wall. We find that the vortex is confined within the domain wall, and it is continuously in core-reversal mode during relaxation or when driven by thermal excitation. This behavior contrasts with the 2D-free vortices which are more robust.