Electron scattering by a magnetic monopole in solid-state experiments

TL;DR

This paper proposes an experimental scheme to study electron scattering by a magnetic monopole in a 2D electron gas, deriving the differential cross section and revealing electron polarization effects.

Contribution

It introduces a novel experimental setup and theoretical analysis for electron scattering by magnetic monopoles in solid-state systems, including polarization phenomena.

Findings

Differential cross section matches that of an infinitely long solenoid with adjusted flux.

Unpolarized electrons become polarized after scattering.

Perpendicular spin polarization appears in Hall-like experimental setups.

Abstract

The scheme of experiment for studying electron scattering in the field of a magnetic monopole in two dimensional electron gas is proposed. The differential scattering cross section is obtained in the eikonal approximation. For unpolarized initial electron, the differential cross section coincides with that in the field of an infinitely long solenoid, up to redefinition of a magnetic flux. It is shown that the scattered electron becomes polarized even for unpolarized initial electron. Besides, in an experimental setup similar to the Hall experiment, the spin polarization arises in the direction perpendicular to the electron current.