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arXiv · 2504.12848

Scattering of a Dirac particle by a Berry phase domain wall

Lassaad Mandhour·Farah Bouhadida·Frédéric Piéchon
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Abstract

Massless Dirac particles are characterized by an effective pseudospin-momentum locking, which is the origin of the peculiar scattering properties of Dirac particles through potential barriers. This pseudospin-momentum locking also governs the quantum geometric properties (such as the Berry phase and Berry curvature) of Dirac particles. In the present work, we demonstrate that a domain wall separating two regions with distinct quantum geometric properties can serve as an alternative to potential barriers. Specifically, using the three-band $\alpha-T_3$ model of two-dimensional Dirac particles, we show that a Berry phase domain wall results in partial reflection and transmission of the Dirac particles, despite the fact that the incident and refracted momenta are identical.

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Lassaad Mandhour, Farah Bouhadida, Frédéric Piéchon. 2025-04-17. Scattering of a Dirac particle by a Berry phase domain wall. https://doi.org/10.1103/9gt4-3pwl

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