Klein Tunneling in Deformed Honeycomb Lattices
Open accessAbstract
We study the scattering of waves off a potential step in deformed honeycomb lattices. For deformations below a critical value, perfect Klein tunneling is obtained; i.e., a potential step transmits waves at normal incidence with nonresonant unit-transmission probability. Beyond the critical deformation a gap forms in the spectrum, and a potential step perpendicular to the deformation direction reflects all normally incident waves, exhibiting a dramatic transition form unit transmission to total reflection. These phenomena are generic to honeycomb lattices and apply to electromagnetic waves in photonic lattices, quasiparticles in graphene, and cold atoms in optical lattices.
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Recently, varieties of artificial systems have enabled the imitation and exploration of graphene and Dirac cones using the honeycomb structure with controllable parameters and observables beyond traditional graphene itself.
“Recently, varieties of artificial systems have enabled the imitation and exploration of graphene and Dirac cones using the honeycomb structure with controllable parameters and observables [10-25] beyond traditional graphene itself where those are not easily accessible.”
From Observing movement of Dirac cones from single-photon dynamics (2021) · cites this paper as [12]
Many works have remarked that the Hermiticity of the underlying Hamiltonian can be relaxed and a consistent quantum theory can be constructed for a broader class of Hamiltonians, in particular those possessing parity-time (PT) symmetry.
“Indeed, many works have remarked that the Hermiticity of the underlying Hamiltonian can be relaxed, and that a a consistent quantum theory can be constructed for a broader class of Hamiltonians [85,86,87,88], in particular those possessing parity-time ( PT ) symmetry.”
From Classical simulation of relativistic quantum mechanics in periodic optical structures (2011) · cites this paper as [85]
The paper discusses effective Hamiltonians for deformed honeycomb lattices (Abstract, pp. 3–4), not whether Hermiticity can be relaxed to construct a consistent quantum theory. Searches for PT symmetry and relaxed Hermiticity found no passage addressing that claim. (LLM, conf=0.78)
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Cites
Chiral tunnelling and the Klein paradox in graphene
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Quantum interference and Klein tunnelling in graphene heterojunctions
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Self-citationExtremal transmission at the Dirac point of a photonic band structure
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Research works printed but not linked: 1
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Lu, L., Joannopoulos, J. D., & Soljačić, M. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.248 · Cited by 3,655 · see citing works
Strain-induced pseudomagnetic field and photonic Landau levels in dielectric structures
Rechtsman, M. C., Zeuner, J. M., Tünnermann, A., Nolte, S., Segev, M., & Szameit, A. (2013) · Nature Photonics · doi:10.1038/nphoton.2012.302 · Cited by 453 · see citing works
Self-citationObservation of unconventional edge states in ‘photonic graphene’
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Self-citationTopological Creation and Destruction of Edge States in Photonic Graphene
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Self-citationSzameit, A., Rechtsman, M. C., Bahat-Treidel, O., & Segev, M. (2011) · Physical Review A · doi:10.1103/physreva.84.021806 · Cited by 280 · see citing works
Self-citationClassical Simulation of Relativistic<i>Zitterbewegung</i>in Photonic Lattices
Dreisow, F., Heinrich, M., Keil, R., Tünnermann, A., Nolte, S., Longhi, S., & Szameit, A. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.143902 · Cited by 235 · see citing works
Unveiling pseudospin and angular momentum in photonic graphene
Song, D., Paltoglou, V., Liu, S., Zhu, Y., Gallardo, D., Tang, L., Xu, J., Ablowitz, M., Efremidis, N. K., & Chen, Z. (2015) · Nature Communications · doi:10.1038/ncomms7272 · Cited by 183 · see citing works
Conical Diffraction and Composite Lieb Bosons in Photonic Lattices
Diebel, F., Leykam, D., Kroesen, S., Denz, C., & Desyatnikov, A. S. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.183902 · Cited by 139 · see citing works
Classical simulation of relativistic quantum mechanics in periodic optical structures
Longhi, S. (2011) · Applied Physics B · doi:10.1007/s00340-011-4628-7 · Cited by 72 · see citing works
Nonlinear wave dynamics in honeycomb lattices
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Self-citationObservation of interaction-induced phenomena of relativistic quantum mechanics
Zhang, W., Yuan, H., He, W., Zheng, X., Sun, N., Di, F., Sun, H., & Zhang, X. (2021) · Communications Physics · doi:10.1038/s42005-021-00752-8 · Cited by 15 · see citing works
Observing movement of Dirac cones from single-photon dynamics
Lu, Y.-H., Wang, Y., Chang, Y.-J., Li, Z.-M., Cui, W.-H., Gao, J., Zhou, W.-H., Zheng, H., & Jin, X.-M. (2021) · Physical Review B · doi:10.1103/physrevb.103.064304 · Cited by 7 · see citing works
“[12] Bahat-Treidel, O.”
BackgroundMethodDirac Dynamics in Waveguide Arrays: From Zitterbewegung to Photonic Topological Insulators
Dreisow, F., Rechtsman, M. C., Zeuner, J. M., Plotnik, Y., Keil, R., Nolte, S., Segev, M., & Szameit, A. (2017) · Quantum Science and Technology · doi:10.1007/978-3-319-52025-4_8 · Cited by 4 · see citing works
Self-citation
- Authors
- Bahat-Treidel, O., Peleg, O., Grobman, M., Shapira, N., Segev, M., & Pereg-Barnea, T.
- Affiliations
- Technion – Israel Institute of Technology (IL)
- California Institute of Technology (US)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2010-02-12
- Volume
- 104
- Issue
- 6
- Pages
- 063901-063901
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1589914989
- Cited by
- 152
- References
- 6
- Citations by year
- 2026: 5 · 2025: 2 · 2024: 8 · 2023: 9 · 2022: 9 · 2021: 13 · 2020: 9 · 2019: 8 · 2018: 7 · 2017: 7 · 2016: 4 · 2015: 9 · 2014: 8 · 2013: 12 · 2012: 12
- FWCI
- 9.26
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CaltechAUTHORS (California Institute of Technology) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Mathematics › Mathematical Physics › Spectral Theory in Mathematical Physics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
- Keywords
- Klein tunneling, total reflection, spectral gap, critical deformation, photonic lattices, graphene, optical lattices, wave scattering
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