Topological Hall effect and related phenomena

In this seminar I will focus on a few spin-dependent phenomena in semiconductors and metals arising from spin-orbit and exchange coupling and from their combination. I will talk about theory of a topological Hall effect arising from an electron exchange scattering on chiral spin textures such as magnetic skyrmions. Our studies have revealed that asymmetrical exchange scattering on chiral spin textures is universal and expected in a wide class of systems possessing spin chirality. Moreover, a similar microscopic mechanism leads to a skew scattering driving anomalous Hall effect in semiconductors with paramagnetic centers or magnetically proximitized graphene-like systems. We have also demonstrated theoretically that an electrostatic disorder in conducting systems with spin orbit coupling and broken time reversal symmetry universally leads to a chiral ordering of the electron gas giving rise to chiral skyrmion-like textures in spatial distribution of the electron spin density.