Lande-like formula for the g factors of hole-nanowire subband edges

Abstract

We have analyzed theoretically the Zeeman splitting of hole-quantum-wire subband edges. As is typical for any bound state, their g factor depends on both an intrinsic g factor of the material and an additional contribution arising from a finite bound-state orbital angular momentum. We discuss the quantum-confinement-induced interplay between bulk-material and orbital effects, which is nontrivial due to the presence of strong spin-orbit coupling. A compact analytical formula is provided that elucidates this interplay and can be useful for predicting Zeeman splitting in generic hole-wire geometries.

4 pages, 2 figures

References in corpus (7)

• Zeeman splitting in ballistic hole quantum wires
• Ballistic transport in induced one-dimensional hole systems
• Anomalous Spin Polarization of GaAs Two-Dimensional Hole Systems
• Spin Density Matrix of Spin-3/2 Hole Systems
• Large variations in the hole spin splitting of quantum-wire subband edges
• Fractional quantization of ballistic conductance in 1D hole systems
• Tailoring hole spin splitting and polarization in nanowires

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• Low-energy subband wave-functions and effective $g$-factor of one-dimensional hole gas
• Hole subband dispersions and strong `spin'-orbit coupling in a cylindrical Ge nanowire
• Gate control, g-factors and spin orbit energy of p-type GaSb nanowire quantum dot devices
• Searching strong `spin'-orbit coupled one-dimensional hole gas in strong magnetic fields