Large variations in the hole spin splitting of quantum-wire subband edges

Abstract

We study Zeeman splitting of zone-center subband edges in a cylindrical hole wire subject to a magnetic field parallel to its axis. The g-factor turns out to fluctuate strongly as a function of wire-subband index, assuming values that differ substantially from those found in higher-dimensional systems. We analyze the spin properties of hole-wire states using invariants of the spin-3/2 density matrix and find a strong correlation between g-factor value and the profile of hole-spin polarization density. Our results suggest possibilities for confinement engineering of hole spin splittings.

arXiv comment4 pages, 3 figures, RevTex4, to appear in PRB

References in corpus (9)

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Cited by in corpus (19)

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• Spin-3/2 physics of semiconductor hole nanowires: Valence-band mixing and tunable interplay between bulk-material and orbital bound-state spin splittings
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• Spin-orbit interaction and induced superconductivity in an one-dimensional hole gas
• Observation of orientation- and $k$-dependent Zeeman spin-splitting in hole quantum wires on (100)-oriented AlGaAs/GaAs heterostructures
• Fabrication and characterization of an induced GaAs single hole transistor
• Highly tuneable hole quantum dots in Ge-Si core-shell nanowires
• Interplay between one-dimensional confinement and crystallographic anisotropy in ballistic hole quantum wires
• Using a tunable quantum wire to measure the large out-of-plane spin splitting of quasi two-dimensional holes in a GaAs nanostructure
• Lande-like formula for the g factors of hole-nanowire subband edges
• Hole spin relaxation in $p$-type GaAs quantum wires
• Tailoring hole spin splitting and polarization in nanowires
• g-Factor anisotropy of hole quantum wires induced by the Rashba interaction
• Low-energy subband wave-functions and effective $g$-factor of one-dimensional hole gas
• Electron spin relaxation in n-type InAs quantum wires
• Gate control, g-factors and spin orbit energy of p-type GaSb nanowire quantum dot devices
• Hole subband dispersions and strong `spin'-orbit coupling in a cylindrical Ge nanowire