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Klein Tunneling of Dirac Fermions through Electromagnetic Barriers — arXiv:2609.15287

Source
arXiv (en)
Original
https://arxiv.org/abs/2609.15287
License (as archived)
CC0-1.0
Archived
2026-10-16T02:24:36.023Z
SHA-256 of the archived text
e1d9c33befc98de7f35b73c3f204d14d857b35906526f32455b2bf83298cf255
Stable URL of this page
https://metraipolis.com/documento/dc_034962d033e4

How to cite

Klein Tunneling of Dirac Fermions through Electromagnetic Barriers — arXiv:2609.15287 — arXiv (en), https://arxiv.org/abs/2609.15287 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_034962d033e4 (Metraipolis archive dc_034962d033e4, sha256 e1d9c33befc98de7f35b73c3f204d14d857b35906526f32455b2bf83298cf255)
BibTeX
@misc{dc034962d033e4,
  title = {Klein Tunneling of Dirac Fermions through Electromagnetic Barriers — arXiv:2609.15287},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.15287},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_034962d033e4; sha256 e1d9c33befc98de7f35b73c3f204d14d857b35906526f32455b2bf83298cf255},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.15287. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

The Lorentz covariance of relativistic Dirac equations serves as a fundamental principle underlying the laws of electromagnetism across different inertial frames. Exploiting the covariance, we obtain the general solutions for Dirac fermions under both the in-plane electric $\boldsymbol{E}$ and perpendicular magnetic $\boldsymbol{B}$ fields, which reduce to either a magnetic or electric field in the inertial frame with drift velocity along the $\boldsymbol{E}\times\boldsymbol{B}$ direction. This dichotomy defines the magnetic and electric regimes, separated by the critical field ratio $E/B=v_\text{F}$ with $v_\text{F}$ denoting the Fermi velocity of Dirac fermions. Using these solutions, we revisit Klein tunneling through a heterojunction with generalized electromagnetic potentials. In the magnetic regime, the transmission exhibits oscillations governed by the Fabry-Pérot interference. In the electric regime, perfect transmission occurs at normal incidence in the drifted frame. The interference phase is further analyzed in terms of the solid angles on the Bloch sphere, providing a geometric interpretation of Klein tunneling. Finally, we briefly discuss the relation between the tilting of Dirac cones and the in-plane electric field, establishing the correspondence of the undertilted and overtilted cases to the magnetic and electric regimes, respectively. Our findings reveal the manipulation of Klein tunneling by electromagnetic fields, offering a theoretical basis for designing novel electronic devices.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-15 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2609.15287 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-16T01:57:57.078Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-09-15?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).