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Non-coplanar spatial or momentum-space distribution of an effective magnetic field acting on a free electron due to exchange or spin-orbit interaction couples electron spin precession with its motion. This coupling gives rise to a skew scattering underlying anomalous and topological Hall effects. We show that in a non-adiabatic interaction regime the emergent skew scattering can be expressed in terms of chirality in real or momentum space. The approach appears to be rather universal for transport phenomena in systems with broken time reversal symmetry. We show that scattering on a chiral spin texture produces a transversal current proportional to the real space spin chirality. Using the similar approach combined with tunneling Hamiltonian formalism we explain the chirality-driven skew tunneling of electrons and holes at a semiconductor interface. The theory can be relevant for unidirectional magnetoresistance in dilute magnetic semiconductors and magnetic topological insulators.
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Igor Rozhansky, Konstantin Denisov, Duy-Quang To, Henri Jaffrès, Henri-Jean Drouhin, "Chirality induced skew scattering and tunneling," Proc. SPIE 11470, Spintronics XIII, 1147015 (21 August 2020); https://doi.org/10.1117/12.2568489