Monte-Carlo simulation of the coherent backscattering of electrons in a ballistic system

TL;DR

This paper investigates weak localization effects in ballistic electron systems through Monte Carlo simulations, emphasizing the importance of scatterer shape in explaining experimental resistance changes.

Contribution

It introduces a semi-classical Monte Carlo approach to model coherent backscattering of electrons, highlighting the significance of scatterer geometry for accurate predictions.

Findings

Shape of scatterers critically affects resistance corrections.

Semi-classical theory aligns well with experimental data.

Backscattering interference causes measurable weak localization effects.

Abstract

We study weak localization effects in the ballistic regime as induced by man-made scatterers. Specular reflection of the electrons off these scatterers results into backscattered trajectories which interfere with their time-reversed path resulting in weak localization corrections to the resistance. Using a semi-classical theory, we calculate the change in resistance due to these backscattered trajectories. We found that the inclusion of the exact shape of the scatterers is very important in order to explain the experimental results of Katine et al. [Superlattices and Microstructures 20, 337 (1996)].