Negative refraction gives rise to the Klein paradox
Open accessAbstract
Electromagnetic negative refraction in metamaterials has attracted increasingly great interest since its first experimental verification in 2001. It potentially leads to the applications superior to conventional devices including compact antennas for mobile stations, imaging beyond the diffraction limit, and high-resolution radars, not to mention the anomalous wave propagation in fundamental optics. Here, we report how metamaterials could be used to simulate the ``negative refraction of spin-zero particles interacting with a strong potential barrier,'' which gives rise to the Klein paradox---a counterintuitive relativistic process. We address the underlying physics of analogous wave propagation behaviors in those two entirely different domains of quantum and classical.
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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 [87]
The Introduction (p. 2) and Conclusion (p. 7) discuss negative refraction, the Klein paradox, and optical simulations. Searches for PT symmetry, non-Hermitian Hamiltonians, and relaxing Hermiticity found no passage in our copy addressing the attributed claim. (LLM, conf=0.75)
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Cites
Chiral tunnelling and the Klein paradox in graphene
Katsnelson, M. I., Novoselov, K. S., & Geim, A. K. (2006) · Nature Physics · doi:10.1038/nphys384 · Cited by 3,896 · see citing works
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Research works printed but not linked: 2
- [10]10. Ni, G.-J., Zhou, W., and Yan, J. Klein paradox and antiparticle. arXiv: quant-ph/9905044. · arXiv
- [13]13. S. P. Kim and D. N. Page. Schwinger pair production via instantons in strong electric fields. Phys. Rev. D 65, 105002 (2002).
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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
Guided modes near the Dirac point in negative-zero-positive index metamaterial waveguide
Shen, M., Ruan, L.-X., & Chen, X. (2010) · Optics Express · doi:10.1364/oe.18.012779 · Cited by 33 · see citing works
- Authors
- Güney, D. Ö., & Meyer, D. A.
- Affiliations
- University of California San Diego (US)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2009-06-24
- Volume
- 79
- Issue
- 6
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2050686679
- Cited by
- 70
- References
- 1
- Citations by year
- 2024: 1 · 2021: 1 · 2020: 21 · 2019: 2 · 2017: 6 · 2016: 3 · 2015: 5 · 2014: 1 · 2013: 3 · 2012: 11
- FWCI
- 3.79
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Metamaterials and Metasurfaces Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Electrodynamics and Casimir Effect
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
- Keywords
- negative refraction, Klein paradox, metamaterials, spin-zero particles, potential barrier, relativistic quantum mechanics, electromagnetic wave propagation
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