ααlattices and specific role of Lorentz forces

We have obtained the angular distribution of extrinsic skew-scattering currents related to a set of randomly-distributed impurities in α-T₃ lattices using the Boltzmann moment equations. With the help of the screened second-order Born approximation, we chave alculated the inverse momentum-relaxation-time tensor and revealed the anisotropy which appears to be the source of the angle-dependent currents. The static dielectric function was obtained under the random-phase approximation (RPA). The scattering is also modified by Berry-phase variation and local asymmetry in impurity potentials next to the two inequivalent K and K' valleys. The resulting skew current depends on the electron doping level and is determined by the ratio of energy to momentum relaxation times