Statistical Analysis of Magnetic Domain Wall Dynamics to Quantify Dzyaloshinskii-Moriya Interaction

We utilize statistical tools to analyze the magnetic domain wall dynamics in a nanostrip, which can quantify the magnitude and reveal the effects of interfacial Dzyaloshinskii-Mariya interaction. We find that there exist two peaks in the velocity frequency spectrum, the magnitude ratio of which can be used to determine the DMI strength. Our approach is validated using a collective-coordinate model, and is demonstrated to be robust against thermal noise and material impurities. Moreover, third-order cumulant and third-order time-dependent correlation function of velocity are calculated and yield valuable information regarding the asymmetry induced by DMI. Our findings offer novel and efficient analysis tools to understand physical process of domain wall dynamics under DMI and exotic magnetic phenomena.