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

TL;DR

This paper theoretically explores how strong spin orbit interactions influence magnetic focusing of electrons and holes in two-dimensional systems, revealing significant effects of in-plane magnetic fields on the focusing spectrum.

Contribution

It introduces a general theoretical framework for spin orbit interactions with singular winding numbers and analyzes their impact on magnetic focusing in systems with multiple spin orbit interactions.

Findings

Large in-plane magnetic fields significantly alter the focusing spectrum.

Theoretical results applicable to experimental hole systems with Rashba interactions.

General analysis of spin orbit interactions with singular winding numbers.

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.