Anomalous spin Hall and inverse spin Hall effects in magnetic systems

Abstract Spin current is a very important tensor quantity in spintronics. However, the well-known spin-Hall effect (SHE) can only generate few of its components whose propagating and polarization directions are perpendicular with each other to an applied charge current. It highly desirable applications spin currents be any possible direction. Here anomalous SHE inverse (ISHE) magnetic systems predicted. currents, polarisation propagation collinear or orthogonal along current, generated, depending on whether order parameter. In ISHEs, proportional parameter