# Interference effects and Huygens' principle in transverse magnetic focusing of electrons and holes

## TL;DR

This paper investigates quantum interference in transverse magnetic focusing of electrons and holes, deriving a semi-classical Green's function applicable to various systems with spin-orbit coupling.

## Contribution

It introduces a semi-classical Green's function for weak magnetic fields in spin-orbit coupled systems, independent of particle dispersion.

## Key findings

- Green's function form derived for spin-less and spin-orbit coupled carriers
- Applicable to a wide range of systems with different dispersions
- Provides insights into interference effects in mesoscopic magnetic focusing

## Abstract

Interference effects form a fundamental pillar of quantum mechanics. In this paper, we examine the interference in spin-orbit coupled transverse magnetic focusing, where a weak magnetic field is used to focus charge carries over mesoscopic scales. We determine a semi-classical form for the Green's function in a weak magnetic field, for the case of both spin-less and spin-orbit coupled charge carriers. The obtained forms for the Greens' function are independent of particle dispersion and are thus applicable to a wide variety of systems.