Gate voltage dependent Rashba spin splitting in hole transverse magnetic focussing

Abstract

Magnetic focussing of charge carriers in two-dimensional systems provides a solid state version of a mass spectrometer. In the presence of a spin-orbit interaction, the first focussing peak splits into two spin dependent peaks, allowing focussing to be used to measure spin polarisation and the strength of the spin-orbit interaction. In hole systems, the k^3 dependence of the Rashba spin-orbit term allows the spatial separation of spins to be changed in-situ using a voltage applied to an overall top gate. Here we demonstrate that this can be used to control the splitting of the magnetic focussing peaks. Additionally, we compare the focussing peak splitting to that predicted by Shubnikov-de Haas oscillations and k.p bandstructure calculations. We find that the focussing peak splitting is consistently larger than expected, suggesting further work is needed on understanding spin dependent magnetic focussing.

References in corpus (7)

• Imaging Magnetic Focusing of Coherent Electron Waves
• Transverse Electron Focusing in Systems with Spin-Orbit Coupling
• Spin precession and alternating spin polarization in spin-3/2 hole systems
• Controlled spatial separation of spins and coherent dynamics in spin-orbit-coupled nanostructures
• Magnetic focusing of charge carriers from spin-split bands: Semiclassics of a Zitterbewegung effect
• Pseudospin-electric coupling for holes beyond the envelope-function approximation
• Influence of device geometry and imperfections on the interpretation of transverse magnetic focusing experiments

Cited by in corpus (7)

• Ballistic transport spectroscopy of spin-orbit-coupled bands in monolayer graphene on WSe${}_2$
• Spin polarisation and spin dependent scattering of holes in transverse magnetic focussing
• Ultraclean two-dimensional hole systems with mobilities exceeding 10${}^7$ cm${}^2$/Vs
• Interband scattering- and nematicity-induced quantum oscillation frequency in FeSe
• Magnetic scattering with spin-momentum locking: Single scatterers and diffraction grating
• Landau-level spectrum and the effect of spin-orbit coupling in monolayer graphene on transition metal dichalcogenides
• Transverse magnetic focusing in two-dimensional hole gases