All-Electrostatic Valley Filtering by Barrier Rotation in Tilted Dirac/Weyl Semimetals
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866917309795270656 |
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| author | Yesilyurt, Can |
| author_facet | Yesilyurt, Can |
| contents | Charge carriers in Dirac/Weyl semimetals with tilted anisotropic energy dispersion exhibit valley-dependent refraction and reflection at electrostatic barrier interfaces. Here, we show that an angled barrier interface provides a purely electrostatic route to valley filtering, producing finite valley-polarized conductance. We develop a generalized transfer-matrix formalism for the tilted, anisotropic Dirac Hamiltonian, extended to treat electrostatic barriers at arbitrary angles, and calculate the transmission in the rotated-barrier frame. We also present simulated valley-resolved trajectories in a finite device geometry, which clearly show that one valley is selectively transmitted, whereas the other is predominantly reflected by the angled barrier, without secondary effects such as real or pseudo-magnetic fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_03117 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | All-Electrostatic Valley Filtering by Barrier Rotation in Tilted Dirac/Weyl Semimetals Yesilyurt, Can Mesoscale and Nanoscale Physics Materials Science Charge carriers in Dirac/Weyl semimetals with tilted anisotropic energy dispersion exhibit valley-dependent refraction and reflection at electrostatic barrier interfaces. Here, we show that an angled barrier interface provides a purely electrostatic route to valley filtering, producing finite valley-polarized conductance. We develop a generalized transfer-matrix formalism for the tilted, anisotropic Dirac Hamiltonian, extended to treat electrostatic barriers at arbitrary angles, and calculate the transmission in the rotated-barrier frame. We also present simulated valley-resolved trajectories in a finite device geometry, which clearly show that one valley is selectively transmitted, whereas the other is predominantly reflected by the angled barrier, without secondary effects such as real or pseudo-magnetic fields. |
| title | All-Electrostatic Valley Filtering by Barrier Rotation in Tilted Dirac/Weyl Semimetals |
| topic | Mesoscale and Nanoscale Physics Materials Science |
| url | https://arxiv.org/abs/2603.03117 |