Figure 1: Principles of the anomalous Hall and inverse spin Hall effects near TC in a weakly ferromagnetic metal.
From: The spin Hall effect as a probe of nonlinear spin fluctuations
(a) AHE (incident charge current JC) and (b) ISHE (incident spin current JS). The green and pink spheres represent the conduction electrons (that is, −|e|) and localized ones, and the grey arrows show the directions of spins. The fluctuation of the localized spins near TC is indicated by the longer grey arrows with shades. The skew scattering probabilities for spin-up and spin-down conduction electrons, resulting in anomalous Hall or inverse spin Hall voltage, are represented by red and blue arrows, respectively.
