Electrical control of the Zeeman spin splitting in two-dimensional hole systems

Abstract

Semiconductor holes with strong spin-orbit coupling allow all-electrical spin control, with broad applications ranging from spintronics to quantum computation. Using a two-dimensional hole system in a GaAs quantum well, we demonstrate a new mechanism of electrically controlling the Zeeman splitting, which is achieved through altering the hole wave vector $k$. We find a threefold enhancement of the in-plane $g-$factor $g_{\parallel }(k)$. We introduce a new method for quantifying the Zeeman splitting from magnetoresistance measurements, since the conventional tilted field approach fails for two-dimensional systems with strong spin-orbit coupling. Finally, we show that the Rashba spin-orbit interaction suppresses the in-plane Zeeman interaction at low magnetic fields. The ability to control the Zeeman splitting with electric fields opens up new possibilities for future quantum spin-based devices, manipulating non-Abelian geometric phases, and realising Majorana systems in $p-$type superconductor systems.

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• Zeeman-type spin splitting in non-magnetic three-dimensional compounds: Materials prediction and electrical control
• Electrical operation of planar Ge hole spin qubits in an in-plane magnetic field
• Pseudospin-electric coupling for holes beyond the envelope-function approximation
• Electrical operation of hole spin qubits in planar MOS silicon quantum dots
• Anisotropic $g$-tensors in hole quantum dots: The role of the transverse confinement direction
• Photoinduced spin-Hall resonance in a k^3-Rashba spin-orbit coupled two dimensional hole system
• 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
• Dephasing of planar Ge hole spin qubits due to 1/$\text{f}$ charge noise
• Spin polarisation and spin dependent scattering of holes in transverse magnetic focussing
• Probing details of spin--orbit coupling through Pauli spin blockade
• Non-linear spin filter for non-magnetic materials at zero magnetic field
• Orientation of hole quantum Hall nematic phases in an out-of-plane electric field
• Cancelling second order frequency shifts in Ge hole spin qubits via bichromatic control
• Effect of disorder and strain on the operation of planar Ge hole spin qubits
• Electrically switchable non-relativistic Zeeman spin splittings in collinear antiferromagnets
• Nested Fermi surfaces and correlated electronic phases in hole-doped semiconductor quantum wells
• Resonant spin Hall and Nernst effect in a nanoribbon of a spin-orbit coupled electronic system