Many-body correction to the intrinsic anomalous and spin Hall conductivities

Spin-orbit coupling breaks the Galilean invariance in materials, leading to observable many-body corrections different transport coefficients. Here, authors study intrinsic contribution anomalous Hall and spin conductivities of a magnetic two-dimensional electron liquid with Rashba spin-orbit coupling. They show that both these responses are strongly affected by electron-electron interaction. The conductivity is enhanced at low carrier concentrations, while same regime, sign reversed.