Tight-binding couplings in microwave artificial graphene
Open accessAbstract
We experimentally study the propagation of microwaves in an artificial honeycomb lattice made of dielectric resonators. This evanescent propagation is well described by a tight-binding model, very much like the propagation of electrons in graphene. We measure the density of states, as well as the wave function associated with each eigenfrequency. By changing the distance between the resonators, it is possible to modulate the amplitude of next-(next-)nearest-neighbor hopping parameters and to study their effect on the density of states. The main effect is the density of states becoming dissymmetric and a shift of the energy of the Dirac points. We study the basic elements: an isolated resonator, a two-level system, and a square lattice. Our observations are in good agreement with analytical solutions for corresponding infinite lattice.
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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 [19]
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Cites
Photonic Floquet topological insulators
Rechtsman, M. C., Zeuner, J. M., Plotnik, Y., Lumer, Y., Podolsky, D., Dreisow, F., Nolte, S., Segev, M., & Szameit, A. (2013) · Nature · doi:10.1038/nature12066 · Cited by 3,332 · 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
Conical Diffraction and Gap Solitons in Honeycomb Photonic Lattices
Peleg, O., Bartal, G., Freedman, B., Manela, O., Segev, M., & Christodoulides, D. N. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.103901 · Cited by 378 · see citing works
Topological Creation and Destruction of Edge States in Photonic Graphene
Rechtsman, M. C., Plotnik, Y., Zeuner, J. M., Song, D., Chen, Z., Szameit, A., & Segev, M. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.103901 · Cited by 302 · see citing works
Extremal transmission at the Dirac point of a photonic band structure
Sepkhanov, R. A., Bazaliy, Y. B., & Beenakker, C. W. J. (2007) · Physical Review A · doi:10.1103/physreva.75.063813 · Cited by 250 · see citing works
Topological Transition of Dirac Points in a Microwave Experiment
Bellec, M., Kuhl, U., Montambaux, G., & Mortessagne, F. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.033902 · Cited by 189 · see citing works
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Ozawa, T., Price, H. M., Amo, A., Goldman, N., Hafezi, M., Lu, L., Rechtsman, M. C., Schuster, D., Simon, J., Zilberberg, O., et al. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015006 · Cited by 3,722 · see citing works
Direct Observation of Dirac Cones and a Flatband in a Honeycomb Lattice for Polaritons
Jacqmin, T., Carusotto, I., Sagnes, I., Abbarchi, M., Solnyshkov, D. D., Malpuech, G., Galopin, E., Lemaître, A., Bloch, J., & Amo, A. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.116402 · Cited by 509 · 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
“[19] Bellec, M.”
Background
- Authors
- Bellec, M., Kuhl, U., Montambaux, G., & Mortessagne, F.
- Affiliations
- Centre National de la Recherche Scientifique (FR)
- Université Paris-Sud (FR)
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2013-09-30
- Volume
- 88
- Issue
- 11
- Pages
- 115437
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2086264842
- Cited by
- 128
- References
- 6
- Citations by year
- 2026: 2 · 2025: 9 · 2024: 10 · 2023: 8 · 2022: 5 · 2021: 8 · 2020: 18 · 2019: 6 · 2018: 14 · 2017: 14 · 2016: 11 · 2015: 10 · 2014: 10 · 2013: 3
- FWCI
- 5.84
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- HAL (submittedVersion, other-oa)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Metamaterials and Metasurfaces Applications
- Physical Sciences › Engineering › Biomedical Engineering › Acoustic Wave Phenomena Research
- Keywords
- artificial graphene, microwave propagation, dielectric resonators, honeycomb lattice, tight-binding model, evanescent waves, density of states, Dirac point, next-nearest-neighbor hopping, resonator spacing, square lattice, two-level system
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