Anisotropic modification of the effective hole g factor by electrostatic confinement.

We investigate effects of lateral confinement on spin splitting of energy levels in 2D hole gases grown on [311] GaAs. We found that lateral confinement enhances anisotropy of spin splitting relative to the 2D gas for both confining directions. Unexpectedly, the effective g factor does not depend on the 1D energy level number N for B parallel[01[over ]1] while it has strong N dependence for B parallel[2[over ]33]. Apart from quantitative difference in the spin splitting of energy levels for the two orthogonal confinement directions, we also report qualitative differences in the appearance of spin-split plateaus, with nonquantized plateaus observed only for the confinement in the [01[over ]1] direction. In our samples we can clearly associate the difference with anisotropy of spin-orbit interactions.