Anomalous Hall effect in a two-dimensional electron gas

Abstract

The anomalous Hall effect in a magnetic two-dimensional electron gas with Rashba spin-orbit coupling is studied within the Kubo-Streda formalism in the presence of pointlike potential impurities. We find that all contributions to the anomalous Hall conductivity vanish to leading order in disorder strength when both chiral subbands are occupied. In the situation that only the majority subband is occupied, all terms are finite in the weak scattering limit and the total anomalous Hall conductivity is dominated by skew scattering. We compare our results to previous treatments and resolve some of the discrepancies present in the literature.

11 pages, 5 figures

References in corpus (5)

• Intrinsic vs. extrinsic anomalous Hall effect in ferromagnets
• Anomalous Hall effect in 2D Dirac band: link between Kubo-Streda formula and semiclassical Boltzmann equation approach
• Vertex Corrections on the Anomalous Hall Effect in Spin-polarized Two-dimensional Electron Gases with Rashba Spin-orbit Interaction
• A kinetic equation approach to the anomalous Hall effect in a diffusive Rashba two-dimensional electron system with magnetization
• Anomalous Hall effect in Rashba two-dimensional electron systems based on narrow-band semiconductors: side-jump and skew scattering mechanisms

Cited by in corpus (7)

• Quantum transport theory of anomalous electric, thermoelectric, and thermal Hall effects in ferromagnets
• Semiclassical theories of the anomalous Hall effect
• Transport theory for disordered multiple-band systems: Anomalous Hall effect and anisotropic magnetoresistance
• Anomalous Hall effect in a two dimensional electron gas with magnetic impurities
• Hybrid skew scattering regime of the anomalous Hall effect in Rashba systems: unifying Keldysh, Boltzmann, and Kubo formalisms
• Theory of AC Anomalous Hall Conductivity in d-electron systems
• Anomalous Corrections to Hall Resistivity of Spin-Polarized Two-Dimensional Holes in a GaAs/AlGaAs Heterostructure