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Topological Creation and Destruction of Edge States in Photonic Graphene
Open accessAbstract
We experimentally demonstrate a topological transition of classical light in "photonic graphene": an array of waveguides arranged in the honeycomb geometry. As the system is uniaxially strained (compressed), the two unique Dirac points (present in the spectrum of conventional graphene) merge and annihilate each other, and a band gap forms. As a result, edge states are created on the zigzag edge and destroyed on the bearded edge. These results are applicable for any 2D honeycomb-type structure, from carbon-based graphene to photonic lattices and crystals.
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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 [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 [13]
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“Many types of topological phases have been observed, for instance, Hall effect [16,17], edge states [18][19][20][21], topological insulators [22,23] and Weyl points [24,25], implying the capability of protecting physical fields.”
From Topological protection of two-photon quantum correlation on a photonic chip (2019) · cites this paper as [19]
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Cites
Two-dimensional gas of massless Dirac fermions in graphene
Novoselov, K. S., Geim, A. K., Morozov, S. V., Jiang, D., Katsnelson, M. I., Grigorieva, I. V., Dubonos, S. V., & Firsov, A. A. (2005) · Nature · doi:10.1038/nature04233 · Cited by 21,611
Colloquium : Topological insulators
Hasan, M. Z., & Kane, C. L. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.3045 · Cited by 19,930
Experimental observation of the quantum Hall effect and Berry's phase in graphene
Zhang, Y., Tan, Y.-W., Stormer, H. L., & Kim, P. (2005) · Nature · doi:10.1038/nature04235 · Cited by 13,435
Su, W. P., Schrieffer, J. R., & Heeger, A. J. (1979) · Physical Review Letters · doi:10.1103/physrevlett.42.1698 · Cited by 6,783
Eda, G., Fanchini, G., & Chhowalla, M. (2008) · Nature Nanotechnology · doi:10.1038/nnano.2008.83 · Cited by 4,408
A graphene-based broadband optical modulator
Liu, M., Yin, X., Ulin-Avila, E., Geng, B., Zentgraf, T., Ju, L., Wang, F., & Zhang, X. (2011) · Nature · doi:10.1038/nature10067 · Cited by 3,396
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
Self-citationThe birth of topological insulators
Moore, J. E. (2010) · Nature · doi:10.1038/nature08916 · Cited by 3,232
Observation of unidirectional backscattering-immune topological electromagnetic states
Wang, Z., Chong, Y., Joannopoulos, J. D., & Soljačić, M. (2009) · Nature · doi:10.1038/nature08293 · Cited by 3,123
Haldane, F. D. M., & Raghu, S. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.013904 · Cited by 2,787
Transformation Optics Using Graphene
Vakil, A., & Engheta, N. (2011) · Science · doi:10.1126/science.1202691 · Cited by 2,691
Berry’s phase for energy bands in solids
Zak, J. (1989) · Physical Review Letters · doi:10.1103/physrevlett.62.2747 · Cited by 1,950
Fundamentals of Optical Waveguides
(2006) · Elsevier eBooks · doi:10.1016/b978-0-12-525096-2.x5000-4 · Cited by 1,505
Lederer, F., Stegeman, G. I., Christodoulides, D. N., Assanto, G., Segev, M., & Silberberg, Y. (2008) · Physics Reports · doi:10.1016/j.physrep.2008.04.004 · Cited by 1,180
Self-citationDiscrete self-focusing in nonlinear arrays of coupled waveguides
Christodoulides, D. N., & Joseph, R. I. (1988) · Optics Letters · doi:10.1364/ol.13.000794 · Cited by 1,174
Topological States and Adiabatic Pumping in Quasicrystals
Kraus, Y. E., Lahini, Y., Ringel, Z., Verbin, M., & Zilberberg, O. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.106402 · Cited by 1,165
Size, Shape, and Low Energy Electronic Structure of Carbon Nanotubes
Kane, C. L., & Mele, E. J. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.1932 · Cited by 1,048
Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
Tarruell, L., Greif, D., Uehlinger, T., Jotzu, G., & Esslinger, T. (2012) · Nature · doi:10.1038/nature10871 · Cited by 972
Designer Dirac fermions and topological phases in molecular graphene
Gomes, K. K., Mar, W., Ko, W., Guinea, F., & Manoharan, H. C. (2012) · Nature · doi:10.1038/nature10941 · Cited by 741
Discrete optics in femtosecond-laser-written photonic structures
Szameit, A., & Nolte, S. (2010) · Journal of Physics B: Atomic, Molecular and Optical Physics · doi:10.1088/0953-4075/43/16/163001 · Cited by 610
Self-citationObservation of topologically protected bound states in photonic quantum walks
Kitagawa, T., Broome, M. A., Fedrizzi, A., Rudner, M. S., Berg, E., Kassal, I., Aspuru-Guzik, A., Demler, E., & White, A. G. (2012) · Nature Communications · doi:10.1038/ncomms1872 · Cited by 607
Zak phase and the existence of edge states in graphene
Delplace, P., Ullmo, D., & Montambaux, G. (2011) · Physical Review B · doi:10.1103/physrevb.84.195452 · Cited by 541
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
Self-citationObservation of unconventional edge states in ‘photonic graphene’
Plotnik, Y., Rechtsman, M. C., Song, D., Heinrich, M., Zeuner, J. M., Nolte, S., Lumer, Y., Malkova, N., Xu, J., Szameit, A., et al. (2014) · Nature Materials · doi:10.1038/nmat3783 · Cited by 389
Self-citationTopologically protected midgap states in complex photonic lattices
Schomerus, H. (2013) · Optics Letters · doi:10.1364/ol.38.001912 · Cited by 384
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
Self-citationMerging of Dirac points in a two-dimensional crystal
Montambaux, G., Piéchon, F., Fuchs, J.-N., & Goerbig, M. O. (2009) · Physical Review B · doi:10.1103/physrevb.80.153412 · Cited by 360
Observation of optical Shockley-like surface states in photonic superlattices
Malkova, N., Hromada, I., Wang, X., Bryant, G., & Chen, Z. (2009) · Optics Letters · doi:10.1364/ol.34.001633 · Cited by 284
Self-citationPT-symmetry in honeycomb photonic lattices
Szameit, A., Rechtsman, M. C., Bahat-Treidel, O., & Segev, M. (2011) · Physical Review A · doi:10.1103/physreva.84.021806 · Cited by 280
Self-citationExtremal 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
Photonic analog of graphene model and its extension: Dirac cone, symmetry, and edge states
Ochiai, T., & Onoda, M. (2009) · Physical Review B · doi:10.1103/physrevb.80.155103 · Cited by 243
Edge states and the bulk-boundary correspondence in Dirac Hamiltonians
Mong, R. S. K., & Shivamoggi, V. (2011) · Physical Review B · doi:10.1103/physrevb.83.125109 · Cited by 228
2 HONEYCOMB LATTICE POTENTIALS AND DIRAC POINTSPreprint
(2016) · Cited by 217
Robustness of edge states in graphene quantum dots
Wimmer, M., Akhmerov, A. R., & Guinea, F. (2010) · Physical Review B · doi:10.1103/physrevb.82.045409 · Cited by 170
Klein Tunneling in Deformed Honeycomb Lattices
Bahat-Treidel, O., Peleg, O., Grobman, M., Shapira, N., Segev, M., & Pereg-Barnea, T. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.063901 · Cited by 152
Self-citationZero modes and edge states of the honeycomb lattice
Kohmoto, M., & Hasegawa, Y. (2007) · Physical Review B · doi:10.1103/physrevb.76.205402 · Cited by 130
Conical diffraction in honeycomb lattices
Ablowitz, M. J., Nixon, S. D., & Zhu, Y. (2009) · Physical Review A · doi:10.1103/physreva.79.053830 · Cited by 109
Symmetry breaking in honeycomb photonic lattices
Bahat-Treidel, O., Peleg, O., & Segev, M. (2008) · Optics Letters · doi:10.1364/ol.33.002251 · Cited by 72
Self-citationHatsugai, Y. (2009) · Solid State Communications · doi:10.1016/j.ssc.2009.02.055 · Cited by 64
Enabling single-mode behavior over large areas with photonic Dirac cones
Bravo‐Abad, J., Joannopoulos, J. D., & Marin Soljacic, A. (2012) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1207335109 · Cited by 63
Topological aspects of graphene
Hatsugai, Y., Fukui, T., & Aoki, H. (2007) · The European Physical Journal Special Topics · doi:10.1140/epjst/e2007-00233-5 · Cited by 34
Nonlinear wave dynamics in honeycomb lattices
Bahat-Treidel, O., & Segev, M. (2011) · Physical Review A · doi:10.1103/physreva.84.021802 · Cited by 26
Self-citationHoneycomb lattice potentials and Dirac points
Fefferman, C., & Weinstein, M. I. (2012) · Journal of the American Mathematical Society · doi:10.1090/s0894-0347-2012-00745-0 · Cited by 23
Flat photonic surface bands pinned between Dirac points
Jukić, D., Buljan, H., Lee, D. H., Joannopoulos, J. D., & Marin Soljacic, A. (2012) · Optics Letters · doi:10.1364/ol.37.005262 · Cited by 15
Zero-energy edge states and chiral symmetry breaking at edges of graphite sheets
Ryu, S., & Hatsugai, Y. (2004) · Physica E Low-dimensional Systems and Nanostructures · doi:10.1016/j.physe.2003.12.098 · Cited by 14
Observation of novel edge states in photonic graphenePreprint
Rechtsman, M. C., Plotnik, Y., Song, D., et al. (2012) · arXiv (Cornell University) · doi:10.48550/arxiv.1210.5361 · Cited by 1
Self-citationStrain-induced pseudomagnetic field and Landau levels in photonic structures
Rechtsman, M. C., Zeuner, J. M., Tünnermann, A., et al. (2012) · Publikationsdatenbank der Fraunhofer-Gesellschaft (Fraunhofer-Gesellschaft) · doi:10.48550/arxiv.1207.3596
Self-citationHoneycomb Lattice Potentials and Dirac Points
Fefferman, C. L., & Weinstein, M. I. (2012) · arXiv · doi:10.48550/arxiv.1202.3839
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Self-citationLu, L., Joannopoulos, J. D., & Soljačić, M. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.248 · Cited by 3,655
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Metadata
- Authors
- Rechtsman, M. C., Plotnik, Y., Zeuner, J. M., Song, D., Chen, Z., Szameit, A., & Segev, M.
- Affiliations
- Technion – Israel Institute of Technology (IL)
- Friedrich Schiller University Jena (DE)
- Nankai University (CN)
- ORCID
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2013-09-05
- Volume
- 111
- Issue
- 10
- Pages
- 103901-103901
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2092576770
- Cited by
- 302
- References
- 45
- Citations by year
- 2026: 10 · 2025: 12 · 2024: 27 · 2023: 14 · 2022: 21 · 2021: 28 · 2020: 26 · 2019: 16 · 2018: 37 · 2017: 29 · 2016: 30 · 2015: 24 · 2014: 24 · 2013: 4
- FWCI
- 14.08
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Nonlinear Photonic Systems
- Keywords
- photonic graphene, topological edge states, Dirac point, uniaxial strain, honeycomb lattice, waveguide arrays, band gap, zigzag edge, topological phase transition, photonic crystals, classical light
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