Magnetic Focussing of Electrons and Holes in the presence of spin orbit interactions

Abstract

In this work we theoretically investigate transverse magnetic focussing in two dimensional electron and hole gasses with strong spin orbit interactions. We present a general result for spin orbit interaction with singular winding numbers in the adiabatic limit. We then present results for systems with two spin orbit interactions of different winding number appear, using the concrete and experimentally relevant case of an applied in-plane magnetic field in hole systems with Rashba type interactions. We predict that the application of a large in-plane field is found to have a strong effect on the magnetic focussing spectrum.

8 pages

References in corpus (4)

• Transverse Electron Focusing in Systems with Spin-Orbit Coupling
• Detection of spin polarized currents in quantum point contacts via transverse electron focusing
• Magnetic focusing of charge carriers from spin-split bands: Semiclassics of a Zitterbewegung effect
• Cyclotron motion and magnetic focusing in semiconductor quantum wells with spin-orbit coupling

Cited by in corpus (9)

• Observation of a cubic Rashba effect in the surface spin structure of rare-earth ternary materials
• Ballistic transport spectroscopy of spin-orbit-coupled bands in monolayer graphene on WSe${}_2$
• Interference effects and Huygens' principle in transverse magnetic focusing of electrons and holes
• Gate voltage dependent Rashba spin splitting in hole transverse magnetic focussing
• Spin polarisation and spin dependent scattering of holes in transverse magnetic focussing
• Valley separation via trigonal warping
• Interference in spin-orbit coupled transverse magnetic focusing; emergent phase due to in-plane magnetic fields
• Imaging spin-resolved cyclotron trajectories in the InSb two-dimensional electron gas
• Transverse magnetic focusing in two-dimensional hole gases