Measurement of the intrinsic anomalous hall effect in a 2D hole system with rashba spin-orbit coupling

The anomalous Hall effect of two-dimensional holes in a GaAs/AlGaAs heterostructure was measured under a slightly tilted-from-parallel magnetic field (B). In addition to the dominant ordinary Hall resistivity, which is linear in B, there is a small anomalous Hall resistivity correlated with the perpendicular spin magnetization of the holes due to the subband depopulation. When the anomalous Hall conductivity (σ^A _xy) is extracted from the experimental data, it exhibits a nonmonotonic dependence on B, a behavior expected for the intrinsic anomalous Hall effect in the 2D Rashba model. If σ^A _xy is plotted as a function of the longitudinal conductivity (σ_xx), an intrinsic region in which σ^A _xy is almost constant and is several tenths of e²/h for σ_xx of several tens of e²/h is identified.