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

Abstract

Broken Galilean invariance in a spin-orbit coupled system can amplify many-body effects on its different responses. We study the anomalous Hall and spin Hall conductivities of a magnetic two-dimensional electron gas with Rashba spin-orbit coupling. We show that both of these conductivities in the intrinsic limit are fully specified in terms of the longitudinal and transverse spin-spin response functions. We include the effect of electron-electron interaction in the spin-spin linear response functions, going beyond the random-phase approximation. We do this by incorporating the local-field correction in the response functions, which takes into account the many-body exchange-correlation effects. We observe a significant enhancement of the static anomalous Hall conductivity due to the electron-electron interaction. The many-body correction on the spin Hall effects is more non-trivial, and strong electron-electron interaction can even reverse the sign of the static spin Hall conductivity.

arXiv comment5+ pages, 3 figures. Supplemental Materials are appended. To appear in Physical Review B

References in corpus (18)

• Anomalous Hall effect
• Spin-orbit interaction in a two-dimensional electron gas: a SU(2) formulation
• Anomalous Hall effect in a two-dimensional electron gas
• Electrical Measurement of the Direct Spin Hall Effect in Fe/In_xGa_{1-x}As Heterostructures
• Chiral spin resonance and spin-Hall conductivity in the presence of the electron-electron interactions
• Observation of intrinsic inverse spin Hall effect
• Collective modes in two- and three-dimensional electron systems with Rashba spin-orbit coupling
• Anomalous Hall effect in 2D Rashba ferromagnet
• Chiral Spin Mode on the Surface of a Topological Insulator
• Plasmon mass and Drude weight in strongly spin-orbit-coupled 2D electron gases
• Coulomb corrections to the extrinsic spin-Hall effect of a two-dimensional electron gas
• "Phase Diagram" of the Spin Hall Effect
• Electron Spin Resonance in a Two-Dimensional Fermi Liquid with Spin-Orbit Coupling
• Spin-Hall conductivity of a spin-polarized two-dimensional electron gas with Rashba spin-orbit interaction and magnetic impurities
• A generalized Stoner criterion and versatile spin ordering in two-dimensional spin-orbit coupled electron systems
• Dynamical spin Hall conductivity in a magnetic disordered system
• Coupled spin-charge dynamics in helical Fermi liquids beyond the random phase approximation
• Phase diagram of the interacting persistent spin-helix state