The interplay between one-dimensional confinement and two-dimensional crystallographic anisotropy effects in ballistic hole quantum wires

In this paper, we study the Zeeman spin-splitting in hole quantum wires aligned along the [233] and [011] crystallographic axes of a high-mobility (311)A undoped AlGaAs/GaAs heterostructure. We obtained measurements of the effective g-factor g* as a function of the wire width for in-plane magnetic fields aligned both parallel and perpendicular to the wire axis. We interpret our data in terms of a qualitative model that involves the interplay of two effects-1D confinement and 2D crystalline anisotropy.