Scattering of a Dirac particle by a Berry phase domain wall
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866916996782751744 |
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| author | Mandhour, Lassaad Bouhadida, Farah Piéchon, Frédéric |
| author_facet | Mandhour, Lassaad Bouhadida, Farah Piéchon, Frédéric |
| contents | 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 $α-T_3$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_12848 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Scattering of a Dirac particle by a Berry phase domain wall Mandhour, Lassaad Bouhadida, Farah Piéchon, Frédéric Mesoscale and Nanoscale Physics 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 $α-T_3$ 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. |
| title | Scattering of a Dirac particle by a Berry phase domain wall |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2504.12848 |