Chiral and Topological Hall effect in semiconductors and metals

A combination of spin-orbit coupling and breaking of time reversal symmetry gives rise to plenty of physical phenomena of a fundamental interest and attractive for spintronic applications. In this seminar I will focus on asymmetric electron scattering in semiconductors and metals underlying anomalous Hall and topological Hall effects as well as so-called spin swapping phenomena. We have contributed to the field by demonstrating a crossover between qualitatively different regimes of skew scattering on magnetic centers and chiral spin textures leading to either chiral or topological Hall effect. I will also discuss the chiral Friedel oscillations of the spin density universally appearing in conducting systems with spin orbit coupling and broken time reversal symmetry