Fig. 1: Schematics of anomalous spin Hall effect.
From: Anomalous spin Hall and inverse spin Hall effects in magnetic systems
a The charge current J (the thicker red arrowed line) and magnetization M (the thinner red arrowed line) are along the x direction. Two anomalous spin current \({j}_{22}^{{\rm{s}}}\) and \({j}_{33}^{{\rm{s}}}\) (the black arrowed lines) proportional to M (magnitude of M) and J (magnitude of J) are generated. b The charge current J (the thicker red arrowed line) and magnetization M (the thinner red arrowed line) are respectively along the \(\hat{{\rm{x}}}\) and the \(\hat{{\rm{y}}}\) directions. Two spin currents \({j}_{12}^{{\rm{s}}}\) and \({j}_{21}^{{\rm{s}}}\) (the black arrowed lines decorated with golden arrows) proportional to MJ are generated.
