Detection and control of spin-orbit interactions in a GaAs hole quantum point contact

Abstract

We investigate the relationship between the Zeeman interaction and the inversion asymmetry induced spin orbit interactions (Rashba and Dresselhaus SOIs) in GaAs hole quantum point contacts. The presence of a strong SOI results in crossing and anti-crossing of adjacent spin-split hole subbands in a magnetic field. We demonstrate theoretically and experimentally that the anti-crossing energy gap depends on the interplay between the SOI terms and the highly anisotropic hole g tensor, and that this interplay can be tuned by selecting the crystal axis along which the current and magnetic field are aligned. Our results constitute independent detection and control of the Dresselhaus and Rashba SOIs in hole systems, which could be of importance for spintronics and quantum information applications.

arXiv comment5 pages, 3 figures

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• Electrical control of the Zeeman spin splitting in two-dimensional hole systems
• Signatures of quantum mechanical Zeeman effect in classical transport due to topological properties of two-dimensional spin-3/2 holes
• Non-linear anomalous Hall effect of two-dimensional spin-3/2 heavy holes
• Spin polarisation and spin dependent scattering of holes in transverse magnetic focussing
• Conductance quantization and shot noise of a double-layer quantum point contact
• Non-linear spin filter for non-magnetic materials at zero magnetic field
• Large Zeeman Splitting in Out-of-Plane Magnetic Field in a Double-Layer Quantum Point Contact
• Quadrupolar photovoltaic effect in the terahertz range in a two-dimensional spin-3/2 hole system