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 CaAs/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 (sigma(A)(xy)) is extracted from the experimental data, it exhibits a nomnonotonic dependence on B, a behavior expected for the intrinsic anomalous Hall effect in the 2D Rashba model. If sigma(A)(xy) is plotted as a function of the longitudinal conductivity (sigma(xx)), an intrinsic region in which sigma(A)(xy) is almost constant and is several tenths of e(2)/h for sigma(xx) of several tens of e(2)/h is identified.