Extended Data Fig. 1: Skyrmion bubble radius.
From: Current-driven dynamics and ratchet effect of skyrmion bubbles in a ferrimagnetic insulator
a, Differential MOKE image of a representative Q = +1 skyrmion bubble for \(H_z = - 20\) Oe. The white (dark) contrast indicates regions with m of TmIG pointing up (down). Scale bar, 1 μm. b, Line profile of the MOKE intensity taken along the red dashed line in a (red solid line) together with its fitting (light grey) assuming that the skyrmion is a square box function having an ellipsoidal shape convoluted by a Gaussian function with standard deviation ~300 nm, which represents the spatial resolution of the MOKE set up49. The domain wall width, which is \({{\Delta }}_{{{{\mathrm{DW}}}}}\sim 60\) nm (Fig. 2), is neglected in the fitting procedure. The main diameters a and b of the skyrmion bubble are extracted by fitting the two orthogonal axes of the ellipsoid. From the fit in b we estimate \(a\sim 1.2\) μm. c, Skyrmion bubble radius R as a function of \(H_z\). The radius is estimated as \(R = (a + b)/4\). Each data point corresponds to the average value obtained from fitting over 10 independent skyrmion bubbles with circular shape (\(b/a \gtrsim 0.9\)). The error bars represent the standard deviation of the measurements. See Supplementary Note 6 for discussion on the field dependence of the skyrmion bubble radius and bubble stabilization with \(H_z\).
