Interplay between one-dimensional confinement and crystallographic   anisotropy in ballistic hole quantum wires
  We study the Zeeman splitting in induced ballistic 1D quantum wires aligned along the [233] and [011] axes of a high mobility (311)A undoped heterostructure. Our data shows that the g-factor anisotropy for magnetic fields applied along the high symmetry [011] direction can be explained by the 1D confinement only. However when the magnetic field is along [233] there is an interplay between the 1D confinement and 2D crystal anisotropy. This is highlighted for the [233] wire by an unusual non-monotonic behavior of the g-factor as the wire is made narrower. 
O. Klochan, A. P. Micolich, L. H. Ho, A. R. Hamilton, K. Muraki, and   Y. Hirayama