Figure 3

Spin current density generated by the vortex lattice motion. (A,B) The total spin current j_s for square and triangular spin lattices generated by the vortex lattice motion, normalized by \({v}_{L}{\chi }_{n}\langle {{\rm{\Delta }}}^{2}\rangle /{T}_{c}\). (C,D) Deviation of the net spin current from its spatial average \({\tilde{{\boldsymbol{j}}}}_{s}={{\boldsymbol{j}}}_{s}-\langle {{\boldsymbol{j}}}_{s}\rangle \). Gray circles correspond to the position of the vortices. Left/right columns describe the case of the square/triangular lattices, respectively. Arrows between panels indicate the direction of the vortex velocity v_L and average electric field E. Calculations were performed at low-temperatures, \(T\ll {T}_{c}\), for \(\alpha =0.5\).