Fig. 4

Contribution of ECT to CIDWM. a Experimentally measured DW velocity v vs. \(\tilde T\) for positive (triangle up) and negative (triangle down) current. Joule heating is taken into account (c.f. Supplementary Fig. 6). Error bars reflect systematic error due to constant resistance assumption (c.f. Methods). b Solutions of analytical model for steady state CIDWM of an ↑↓ DW for positive current densities. The curves’ color matches with that of the experimentally applied current densities shown in a. Additional solutions for j = 1.5, 2.0, 2.5 and 3.0 × 108 A cm−2 are plotted. (c,d) Dependence of v (solid line) and the contributions to v from DMI (circles) and ECT (squares) for j = 0.41 (c) and 3.00 × 108 A cm−2 (d). Open and closed symbols correspond to the Co and Gd layers, respectively. e DW velocity dependence on j for various ratios mGd/mCo. f Efficiency dv/dj of CIDWM at 3.0 × 108 A cm−2 depending on mGd/mCo