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arXiv · 2603.03117

All-Electrostatic Valley Filtering by Barrier Rotation in Tilted Dirac/Weyl Semimetals

Can Yesilyurt
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Abstract

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, extend it 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, demonstrating that one valley is selectively transmitted, while the other is predominantly reflected by the angled barrier, without invoking real or pseudomagnetic fields.

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Can Yesilyurt. 2026-03-03. All-Electrostatic Valley Filtering by Barrier Rotation in Tilted Dirac/Weyl Semimetals. https://doi.org/10.1038/s41598-026-63256-x

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