Quantum geometric scattering of a Dirac particle by a Berry curvature domain wall

TL;DR

This paper studies how a massless Dirac particle scatters at a domain wall with different Berry curvature, showing quantum geometric effects cause partial reflection and transmission despite identical energy spectra.

Contribution

It reveals how quantum geometric mismatches at interfaces influence Dirac particle scattering, introducing a new mechanism for controlling quantum transport.

Findings

Quantum geometric mismatch causes partial reflection and transmission.

Engineered quantum geometric interfaces can control Dirac particle scattering.

Identical energy spectra do not guarantee identical scattering behavior.

Abstract

We investigate the scattering of a three-dimensional massless Dirac particle through a domain wall separating two regions with identical energy spectra but distinct Berry curvature dipoles. We demonstrate that the quantum geometric mismatch induces partial reflection and transmission despite identical incident and refracted momenta. These results highlight the role of engineered quantum geometric interfaces as key tools to control Dirac particle scattering.