Fig. 1

Droplet nucleation with DMI. a Schematic image of a magnetic droplet in a ferromagnetic medium under H _z and H _x . Inset shows a magneto-optical Kerr effect (MOKE) image to prove the droplet nucleation inside the Pt/Co/MgO microstrip. The white bar is a scale bar of 5 μm. b Schematic diagrams of \({\mathrm{\sigma }}_{{\mathrm{DW}}}^2\) in terms of H _x . Inset shows the magnetization alignments of the DW1 and DW2 in the DW of the droplet. The thresholds in the curve of averaged \({\mathrm{\sigma }}_{{\mathrm{DW}}}^2\) are highlighted with blue shades