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 (8)

• Spintronics: Fundamentals and applications
• Quantum Computation with Quantum Dots
• Possible Spin Polarization in a One-Dimensional Electron Gas
• Highly anisotropic g-factor of two-dimensional hole systems
• Zeeman splitting in ballistic hole quantum wires
• Anisotropic magnetoresistance of GaAs two-dimensional holes
• Mode Spectroscopy and Level Coupling in Ballistic Electron Waveguides
• Compressibility of a two-dimensional hole gas in tilted magnetic field

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• Using a tunable quantum wire to measure the large out-of-plane spin splitting of quasi two-dimensional holes in a GaAs nanostructure
• Anisotropic $g$-tensors in hole quantum dots: The role of the transverse confinement direction
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• High-quality quantum point contact in two-dimensional GaAs (311)A hole system