Characterization of spin-orbit interactions of GaAs heavy holes using a quantum point contact

Abstract

We present transport experiments performed in high quality quantum point contacts embedded in a GaAs two-dimensional hole gas. The strong spin-orbit interaction results in peculiar transport phenomena, including the previously observed anisotropic Zeeman splitting and level-dependent effective g-factors. Here we find additional effects, namely the crossing and the anti-crossing of spin-split levels depending on subband index and magnetic field direction. Our experimental observations are reconciled in an heavy hole effective spin-orbit Hamiltonian where cubic- and quadratic-in-momentum terms appear. The spin-orbit components, being of great importance for quantum computing applications, are characterized in terms of magnitude and spin structure. In the light of our results, we explain the level dependent effective g-factor in an in-plane field. Through a tilted magnetic field analysis, we show that the QPC out-of-plane g-factor saturates around the predicted 7.2 bulk value.

References in corpus (11)

• Rashba spin splitting in two-dimensional electron and hole systems
• Electric Dipole Spin Resonance for Heavy Holes in Quantum Dots
• Highly anisotropic g-factor of two-dimensional hole systems
• Zeeman splitting in ballistic hole quantum wires
• Anomalous spin-resolved point-contact transmission of holes due to cubic Rashba spin-orbit coupling
• Spin-orbit splitting and effective masses in p-type GaAs two-dimensional hole gases
• Observation of orientation- and $k$-dependent Zeeman spin-splitting in hole quantum wires on (100)-oriented AlGaAs/GaAs heterostructures
• Exchange energy and generalized polarization in the presence of spin-orbit coupling in two dimensions
• Using a tunable quantum wire to measure the large out-of-plane spin splitting of quasi two-dimensional holes in a GaAs nanostructure
• Anisotropic Zeeman splitting in p-type GaAs quantum point contacts
• Electronic and spin properties of hole point contacts

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