Anisotropic modification of the effective hole $g$-factor by electrostatic confinement

Abstract

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 $B\Vert [0\bar{1}1]$ while it has strong $N$-dependence for $B\Vert [\bar{2}33]$. 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 non-quantized plateaus observed only for the confinement in $[0\bar{1}1]$ direction. In our samples we can clearly associate the difference with anisotropy of spin-orbit interactions.

4 pages, 4 figures, to appear in Phys. Rev. Lett

References in corpus (2)

• Zeeman splitting in ballistic hole quantum wires
• Compressibility of a two-dimensional hole gas in tilted magnetic field

Cited by in corpus (3)

• Spin-3/2 physics of semiconductor hole nanowires: Valence-band mixing and tunable interplay between bulk-material and orbital bound-state spin splittings
• Interplay between one-dimensional confinement and crystallographic anisotropy in ballistic hole quantum wires
• High-quality quantum point contact in two-dimensional GaAs (311)A hole system