  Employing unbiased large-scale time-dependent density-matrix
renormalization-group simulations, we demonstrate the generation of a
charge-current vortex via spin injection in the Rashba system. The spin current
is polarized perpendicular to the system plane and injected from an attached
antiferromagnetic spin chain. We discuss the conversion between spin and
orbital angular momentum in the current vortex that occurs because of the
conservation of the total angular momentum and the spin-orbit interaction. This
is in contrast to the spin Hall effect, in which the angular-momentum
conservation is violated. Finally, we predict the electromagnetic field that
accompanies the vortex with regard to possible future experiments.
