Current-induced spin polarization and anomalous Hall and Nernst effects in heterostructures with k-cubed Rashba spin-orbit coupling*

We will discuss our recent results on current induced nonequilibrium spin polarization and the anomalous Hall and Nernst effects within the effective models describing 2DEG in semiconductor heterostructures and perovskite oxide interfaces [L. Karwacki et al., Phys. Rev. B 97, 235302 (2018), A. Krzyzewska et al., pss RRL (2018), doi:10.1002/pssr.201800232]. We will focus on the role of k-cubic Rashba spin-orbit interaction which seems to play an important role in these materials. We will present the temperature dependence of the nonequilibrium spin polarization in nonmagnetic and magnetic cases, and indicate the role of the Berry phase on this effect when the system is magnetic. Moreover, we will show that there is a substantial intrinsic contribution to both anomalous Hall and Nernst effects, that are robust against impurity scattering processes. Additionally, the sign of the anomalous Nernst conductivity can be changed by tuning the temperature. This sign change appears below the critical temperature of the magnetic phase transition.