Extended Data Fig. 5: Mean \(\overline {\Delta {{{\mathbf{x}}}}}\) and \(\overline {\Delta {{{\mathbf{y}}}}}\) displacements for YIG demagnetized.
From: Current-driven dynamics and ratchet effect of skyrmion bubbles in a ferrimagnetic insulator
a, b, Average bubble displacements per pulse \(\overline {\Delta x}\) and \(\overline {\Delta y}\) as a function of \(t_{{{\mathrm{p}}}}\) computed considering all pulse events, that is, including those that did not lead to bubble displacements. \(\overline {\Delta x}\) and \(\overline {\Delta y}\) increase linearly with the pulse length, exhibiting a finite value as \(t_{{{\mathrm{p}}}} \to 0\). The difference between \(\overline {\Delta x}\),\(\overline {\Delta y}\) and \(x_0,y_0\) (Fig. 4c,d) arises from the decrease of the bubble depinning probability when decreasing \(t_{{{\mathrm{p}}}}\). Different symbols indicate different current densities. \(H_z = - 20\) Oe (\(Q = + 1\)). YIG is demagnetized.
