Topological Creation and Destruction of Edge States in Photonic Graphene
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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 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 [13]
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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 · see citing works
<i>Colloquium</i> : Topological insulators
Hasan, M. Z., & Kane, C. L. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.3045 · Cited by 19,930 · see citing works
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 · see citing works
Su, W. P., Schrieffer, J. R., & Heeger, A. J. (1979) · Physical Review Letters · doi:10.1103/physrevlett.42.1698 · Cited by 6,783 · see citing works
Eda, G., Fanchini, G., & Chhowalla, M. (2008) · Nature Nanotechnology · doi:10.1038/nnano.2008.83 · Cited by 4,382 · see citing works
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 3,403 · see citing works
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
Self-citationThe birth of topological insulators
Moore, J. E. (2010) · Nature · doi:10.1038/nature08916 · Cited by 3,232 · see citing works
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 · see citing works
Haldane, F. D. M., & Raghu, S. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.013904 · Cited by 2,787 · see citing works
Transformation Optics Using Graphene
Vakil, A., & Engheta, N. (2011) · Science · doi:10.1126/science.1202691 · Cited by 2,681 · see citing works
Berry’s phase for energy bands in solids
Zak, J. (1989) · Physical Review Letters · doi:10.1103/physrevlett.62.2747 · Cited by 1,950 · see citing works
Fundamentals of Optical Waveguides
(2006) · Elsevier eBooks · doi:10.1016/b978-0-12-525096-2.x5000-4 · Cited by 1,505 · see citing works
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 · see citing works
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 1,170 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
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 · 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’
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 · see citing works
Self-citationTopologically protected midgap states in complex photonic lattices
Schomerus, H. (2013) · Optics Letters · doi:10.1364/ol.38.001912 · Cited by 382 · 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
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 373 · see citing works
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 298 · see citing works
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 · see citing works
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-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 · see citing works
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 · see citing works
2 HONEYCOMB LATTICE POTENTIALS AND DIRAC POINTSPreprint
(2016) · Cited by 210 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
Self-citationHatsugai, Y. (2009) · Solid State Communications · doi:10.1016/j.ssc.2009.02.055 · Cited by 65 · see citing works
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 62 · see citing works
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 · see citing works
Nonlinear wave dynamics in honeycomb lattices
Bahat-Treidel, O., & Segev, M. (2011) · Physical Review A · doi:10.1103/physreva.84.021802 · Cited by 26 · see citing works
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 19 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
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
Flagged first, then by citations
Cited by
Sorted by citations
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
Self-citationLu, L., Joannopoulos, J. D., & Soljačić, M. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.248 · Cited by 3,655 · see citing works
Quantized electric multipole insulators
Benalcazar, W. A., Bernevig, B. A., & Hughes, T. L. (2017) · Science · doi:10.1126/science.aah6442 · Cited by 2,029 · see citing works
Geometric phase and band inversion in periodic acoustic systems
Xiao, M., Ma, G., Yang, Z., Sheng, P., Zhang, Z.-Q., & Chan, C. T. (2015) · Nature Physics · doi:10.1038/nphys3228 · Cited by 682 · see citing works
Synthetic Gauge Fields in Synthetic Dimensions
Celi, A., Massignan, P., Ruseckas, J., Goldman, N., Spielman, I. B., Juzeliūnas, G., & Lewenstein, M. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.043001 · Cited by 597 · see citing works
Chen, X.-D., Zhao, F.-L., Chen, M., & Dong, J.-W. (2017) · Physical Review B · doi:10.1103/physrevb.96.020202 · Cited by 387 · see citing works
Photonic topological Anderson insulators
Stützer, S., Plotnik, Y., Lumer, Y., Titum, P., Lindner, N. H., Segev, M., Rechtsman, M. C., & Szameit, A. (2018) · Nature · doi:10.1038/s41586-018-0418-2 · Cited by 352 · see citing works
Self-citationQuantum optics of chiral spin networks
Pichler, H., Ramos, T., Daley, A. J., & Zoller, P. (2015) · Physical Review A · doi:10.1103/physreva.91.042116 · Cited by 347 · see citing works
Topological Photonic Crystals: Physics, Designs, and Applications
Tang, G., He, X., Shi, F., Liu, J., Chen, X., & Dong, J. (2022) · Laser & Photonics Review · doi:10.1002/lpor.202100300 · Cited by 349 · see citing works
Experimental observation of bulk and edge transport in photonic Lieb lattices
Guzmán-Silva, D., Mejía-Cortés, C., Bandres, M. A., Rechtsman, M. C., Weimann, S., Nolte, S., Segev, M., Szameit, A., & Vicencio, R. A. (2014) · New Journal of Physics · doi:10.1088/1367-2630/16/6/063061 · Cited by 241 · see citing works
Self-citationUltrafast‐laser‐inscribed 3D integrated photonics: challenges and emerging applications
Gross, S., & Withford, M. J. (2015) · Nanophotonics · doi:10.1515/nanoph-2015-0020 · Cited by 200 · 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
Self-citationTopological Majorana States in Zigzag Chains of Plasmonic Nanoparticles
Poddubny, A. N., Miroshnichenko, A. E., Slobozhanyuk, A. P., & Kivshar, Y. S. (2014) · ACS Photonics · doi:10.1021/ph4000949 · Cited by 169 · see citing works
Type-III and Tilted Dirac Cones Emerging from Flat Bands in Photonic Orbital Graphene
Milićević, M., Montambaux, G., Ozawa, T., Jamadi, O., Real, B., Sagnes, I., Lemaître, A., Le Gratiet, L., Harouri, A., Bloch, J., et al. (2019) · Physical Review X · doi:10.1103/physrevx.9.031010 · Cited by 171 · see citing works
“This case is a topological Lifshitz transition in which two Dirac cones with opposite topological charge merge and annihilate, as predicted for standard s band graphene [4,45] and reported in photonic [7,8] and atomic [5,6] honeycomb lattices and in black phosphorus [9].”
BackgroundExciton-polaritons in lattices: A non-linear photonic simulator
Amo, A., & Bloch, J. (2016) · Comptes Rendus. Physique · doi:10.1016/j.crhy.2016.08.007 · Cited by 157 · see citing works
Topologically Protected Valley-Dependent Quantum Photonic Circuits
Chen, Y., He, X., Cheng, Y., Qiu, H.-Y., Feng, L., Zhang, M., Daoxin Dai, A., Guo, G., Dong, J., & Ren, X. (2021) · Physical Review Letters · doi:10.1103/physrevlett.126.230503 · Cited by 156 · see citing works
Ni, X., Yves, S., Krasnok, A., & Alù, A. (2023) · Chemical Reviews · doi:10.1021/acs.chemrev.2c00800 · Cited by 156 · see citing works
Topological light-trapping on a dislocation
Li, F.-F., Wang, H., Xiong, Z., Lou, Q., Chen, P., Wu, R., Poo, Y., Jiang, J., & John, S. (2018) · Nature Communications · doi:10.1038/s41467-018-04861-x · Cited by 153 · see citing works
Linear and nonlinear traveling edge waves in optical honeycomb lattices
Ablowitz, M. J., Curtis, C. W., & Ma, Y.-P. (2014) · Physical Review A · doi:10.1103/physreva.90.023813 · Cited by 134 · see citing works
Tomography of Band Insulators from Quench Dynamics
Hauke, P., Lewenstein, M., & Eckardt, A. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.045303 · Cited by 131 · see citing works
Wang, Q., Xiao, M., Liu, H., Zhu, S. N., & Chan, C. T. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.93.041415 · Cited by 132 · see citing works
Symmetry Breaking in Photonic Crystals: On-Demand Dispersion from Flatband to Dirac Cones
Nguyen, H. S., Dubois, F., Deschamps, T., Cueff, S., Pardon, A., Leclercq, J., Seassal, C., Letartre, X., & Viktorovitch, P. (2018) · Physical Review Letters · doi:10.1103/physrevlett.120.066102 · Cited by 131 · see citing works
Tight-binding couplings in microwave artificial graphene
Bellec, M., Kuhl, U., Montambaux, G., & Mortessagne, F. (2013) · Physical Review B · doi:10.1103/physrevb.88.115437 · Cited by 128 · see citing works
Topological light-trapping on a dislocation
Li, F., Wang, H., Xiong, Z., Lou, Q., Chen, P., Wu, R., Poo, Y., Jiang, J., & John, S. (2018) · RePEc: Research Papers in Economics · Cited by 128 · see citing works
Photonic flat‐band lattices and unconventional light localization
Tang, L., Song, D., Xia, S., Xia, S., Ma, J., Yan, W., Hu, Y., Xu, J., Leykam, D., & Chen, Z. (2020) · Nanophotonics · doi:10.1515/nanoph-2020-0043 · Cited by 123 · see citing works
Self-citationTopological phase transitions and chiral inelastic transport induced by the squeezing of light
Peano, V., Houde, M., Brendel, C., Marquardt, F., & Clerk, A. A. (2016) · Nature Communications · doi:10.1038/ncomms10779 · Cited by 122 · see citing works
Topological phonons and thermoelectricity in triple-point metals
Singh, S., Wu, Q., Yue, C., Romero, A. H., & Soluyanov, A. A. (2018) · Physical Review Materials · doi:10.1103/physrevmaterials.2.114204 · Cited by 124 · see citing works
Many-body quantum electrodynamics networks: Non-equilibrium condensed matter physics with light
Hur, K. L., Henriet, L., Petrescu, A., Plekhanov, K., Roux, G., & Schirò, M. (2016) · Comptes Rendus Physique · doi:10.1016/j.crhy.2016.05.003 · Cited by 114 · see citing works
Demonstration of a two-dimensional $${\cal P}{\cal T}$$-symmetric crystal
Kremer, M., Biesenthal, T., Maczewsky, L. J., Heinrich, M., Thomale, R., & Szameit, A. (2019) · Nature Communications · doi:10.1038/s41467-018-08104-x · Cited by 114 · see citing works
Self-citationBosonic Mott Insulator with Meissner Currents
Petrescu, A., & Hur, K. L. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.150601 · Cited by 104 · see citing works
Topological phonons and thermoelectricity in triple-point metals
Singh, S., Wu, Q., Yue, C., Romero, A. H., & Soluyanov, A. A. (2018) · Zurich Open Repository and Archive (University of Zurich) · doi:10.5167/uzh-159715 · Cited by 101 · see citing works
Cavity Quantum Electrodynamics with Second‐Order Topological Corner State
Xie, X., Zhang, W., He, X., Wu, S., Dang, J., Peng, K., Song, F., Yang, L., Ni, H., Niu, Z., et al. (2020) · Laser & Photonics Review · doi:10.1002/lpor.201900425 · Cited by 99 · see citing works
Rhim, J., & Yang, B. (2021) · Advances in Physics X · doi:10.1080/23746149.2021.1901606 · Cited by 102 · see citing works
Quantum and wave dynamical chaos in superconducting microwave billiards
Dietz, B., & Richter, A. (2015) · Chaos An Interdisciplinary Journal of Nonlinear Science · doi:10.1063/1.4915527 · Cited by 98 · see citing works
Direct Observation of Topology from Single-Photon Dynamics
Wang, Y., Lu, Y.-H., Mei, F., Gao, J., Li, Z.-M., Tang, H., Zhu, S.-L., Jia, S., & Jin, X.-M. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.193903 · Cited by 98 · see citing works
Radiative Topological States in Resonant Photonic Crystals
Poshakinskiy, A. V., Poddubny, A. N., Pilozzi, L., & Ivchenko, E. L. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.107403 · Cited by 97 · see citing works
Topological protection of two-photon quantum correlation on a photonic chip
Wang, Y., Pang, X.-L., Lu, Y., Gao, J., Chang, Y.-J., Qiao, L., Jiao, Z., Tang, H. L., & Jin, X. (2019) · Optica · doi:10.1364/optica.6.000955 · Cited by 99 · see citing works
Gangaraj, S. A. H., Silveirinha, M. G., & Hanson, G. W. (2017) · IEEE journal on multiscale and multiphysics computational techniques · doi:10.1109/jmmct.2017.2654962 · Cited by 93 · see citing works
Direct observation of photonic Landau levels and helical edge states in strained honeycomb lattices
Jamadi, O., Rozas, E., Salerno, G., Milićević, M., Ozawa, T., Sagnes, I., Lemaître, A., Gratiet, L. L., Harouri, A., Carusotto, I., et al. (2020) · Light Science & Applications · doi:10.1038/s41377-020-00377-6 · Cited by 95 · see citing works
Edge states in polariton honeycomb lattices
Milićević, M., Ozawa, T., Andreakou, P., Carusotto, I., Jacqmin, T., Galopin, E., Lemaître, A., Gratiet, L. L., Sagnes, I., Bloch, J., et al. (2015) · 2D Materials · doi:10.1088/2053-1583/2/3/034012 · Cited by 80 · see citing works
Photonic Floquet topological insulators in atomic ensembles
Zhang, Y., Wu, Z., Belić, M. R., Zheng, H., Wang, Z., Xiao, M., & Zhang, Y. (2015) · Laser & Photonics Review · doi:10.1002/lpor.201400428 · Cited by 80 · see citing works
Microcavity polaritons for topological photonics [Invited]
Solnyshkov, D. D., Malpuech, G., St-Jean, P., Ravets, S., Bloch, J., & Amo, A. (2021) · Optical Materials Express · doi:10.1364/ome.414890 · Cited by 82 · see citing works
Ginzburg–Landau models of nonlinear electric transmission networks
Kengne, E., Liu, W.-M., English, L. Q., & Malomed, B. A. (2022) · Physics Reports · doi:10.1016/j.physrep.2022.07.004 · Cited by 79 · see citing works
Honeycomb Schrödinger Operators in the Strong Binding Regime
Fefferman, C., Lee-Thorp, J., & Weinstein, M. I. (2017) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.21735 · Cited by 79 · see citing works
Robust quantum state transfer via topologically protected edge channels in dipolar arrays
Dlaska, C., Vermersch, B., & Zoller, P. (2017) · Quantum Science and Technology · doi:10.1088/2058-9565/2/1/015001 · Cited by 76 · see citing works
Gangaraj, S. A. H., & Monticone, F. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.093901 · Cited by 75 · see citing works
Majorana edge modes in the Kitaev model
Thakurathi, M., Sengupta, K., & Sen, D. (2014) · Physical Review B · doi:10.1103/physrevb.89.235434 · Cited by 77 · see citing works
Direct observation of photonic Landau levels and helical edge states in strained honeycomb lattices
Jamadi, O., Rozas, E., Salerno, G. (., Milićević, M., Ozawa, T., Sagnes, I., Lemaître, A., Gratiet, L. L., Harouri, A., Carusotto, I., et al. (2020) · LillOA (Université de Lille (University Of Lille)) · Cited by 75 · see citing works
Topologically protected states in one-dimensional continuous systems and Dirac points
Fefferman, C., Lee-Thorp, J., & Weinstein, M. I. (2014) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1407391111 · Cited by 72 · see citing works
Integrated photonic quantum walks
Gräfe, M., Heilmann, R., Lebugle, M., Guzmán-Silva, D., Pérez-Leija, A., & Szameit, A. (2016) · Journal of Optics · doi:10.1088/2040-8978/18/10/103002 · Cited by 75 · see citing works
Self-citationThe Emergence of Dirac points in Photonic Crystals with Mirror Symmetry
He, W., & Chan, C. T. (2015) · Scientific Reports · doi:10.1038/srep08186 · Cited by 70 · see citing works
Lee-Thorp, J., Weinstein, M. I., & Zhu, Y. (2018) · Archive for Rational Mechanics and Analysis · doi:10.1007/s00205-018-1315-4 · Cited by 71 · see citing works
Manipulation of edge states in microwave artificial graphene
Bellec, M., Kuhl, U., Montambaux, G., & Mortessagne, F. (2014) · New Journal of Physics · doi:10.1088/1367-2630/16/11/113023 · Cited by 66 · see citing works
Edge States in Honeycomb Structures
Fefferman, C., Lee-Thorp, J., & Weinstein, M. I. (2016) · Annals of PDE · doi:10.1007/s40818-016-0015-3 · Cited by 69 · see citing works
Observation of valleylike edge states of sound at a momentum away from the high-symmetry points
Xia, B., Zheng, S., Liu, T., Jiao, J., Chen, N., Dai, H., Yu, D., & Liu, J. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.155124 · Cited by 67 · see citing works
Spectral imaging of topological edge states in plasmonic waveguide arrays
Bleckmann, F., Cherpakova, Z., Lindén, S., & Alberti, A. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.96.045417 · Cited by 64 · see citing works
PT symmetry protected non-Hermitian topological systems
Yüce, C., & Oztas, Z. (2018) · Scientific Reports · doi:10.1038/s41598-018-35795-5 · Cited by 64 · see citing works
Landau–Zener Topological Quantum State Transfer
Longhi, S., Giorgi, G. L., & Zambrini, R. (2019) · Advanced Quantum Technologies · doi:10.1002/qute.201800090 · Cited by 64 · see citing works
Sufficient condition for the existence of interface states in some two-dimensional photonic crystals
Huang, X., Xiao, M., Zhang, Z.-Q., & Chan, C. T. (2014) · Physical Review B · doi:10.1103/physrevb.90.075423 · Cited by 64 · see citing works
Experimental Realization of Multiple Topological Edge States in a 1D Photonic Lattice
Zhang, Z., Teimourpour, M. H., Arkinstall, J., Pan, M., Miao, P., Schomerus, H., El‐Ganainy, R., & Feng, L. H. (2019) · Laser & Photonics Review · doi:10.1002/lpor.201800202 · Cited by 59 · see citing works
Effects of interactions on periodically driven dynamically localized systems
Agarwala, A., & Sen, D. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.95.014305 · Cited by 61 · see citing works
Manipulating type-I and type-II Dirac polaritons in cavity-embedded honeycomb metasurfaces
Mann, C.-R., Sturges, T. J., Weick, G., Barnes, W. L., & Mariani, E. (2018) · Nature Communications · doi:10.1038/s41467-018-03982-7 · Cited by 55 · see citing works
Semi-Dirac Transport and Anisotropic Localization in Polariton Honeycomb Lattices
Real, B., Jamadi, O., Milićević, M., Pernet, N., St-Jean, P., Ozawa, T., Montambaux, G., Sagnes, I., Lemaître, A., Gratiet, L. L., et al. (2020) · Physical Review Letters · doi:10.1103/physrevlett.125.186601 · Cited by 55 · see citing works
Photonic Topological Mode Bound to a Vortex
Menssen, A. J., Guan, J., Felce, D., Booth, M. J., & Walmsley, I. A. (2020) · Physical Review Letters · doi:10.1103/physrevlett.125.117401 · Cited by 55 · see citing works
Topological wave insulators: a review
Zangeneh‐Nejad, F., Alù, A., & Fleury, R. (2020) · Comptes Rendus Physique · doi:10.5802/crphys.3 · Cited by 53 · see citing works
Topological lattices realized in superconducting circuit optomechanics
Youssefi, A., Kono, S., Bancora, A., Chegnizadeh, M., Pan, J., Vovk, T., & Kippenberg, T. J. (2022) · Nature · doi:10.1038/s41586-022-05367-9 · Cited by 55 · see citing works
Aspects of Floquet bands and topological phase transitions in a continuously driven superlattice
Zhou, L., Wang, H., Ho, D. Y. H., & Gong, J. (2014) · The European Physical Journal B · doi:10.1140/epjb/e2014-50465-9 · Cited by 54 · see citing works
Effects of periodic kicking on dispersion and wave packet dynamics in graphene
Agarwala, A., Bhattacharya, U., Dutta, A., & Sen, D. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.93.174301 · Cited by 55 · see citing works
The existence of topological edge states in honeycomb plasmonic lattices
Wang, L., Zhang, R.-Y., Xiao, M., Han, D., Chan, C. T., & Wen, W. (2016) · New Journal of Physics · doi:10.1088/1367-2630/18/10/103029 · Cited by 48 · see citing works
Adiabatic topological photonic interfaces
Vakulenko, A., Kiriushechkina, S., Smirnova, D. A., Guddala, S., Эдуардович, К. Ф., Alù, A., Allen, M., Allen, J., & Khanikaev, A. B. (2023) · Nature Communications · doi:10.1038/s41467-023-40238-5 · Cited by 51 · see citing works
Topological multimode waveguide QED
Vega, C., Porras, D., & González-Tudela, A. (2023) · Physical Review Research · doi:10.1103/physrevresearch.5.023031 · Cited by 48 · see citing works
Chen, X., Deng, Z., Chen, W.-J., Wang, J.-R., & Dong, J. (2015) · Physical Review B · doi:10.1103/physrevb.92.014210 · Cited by 43 · see citing works
Li, L., Umer, M., & Gong, J. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.98.205422 · Cited by 44 · see citing works
Photonic Realization of a Generic Type of Graphene Edge States Exhibiting Topological Flat Band
Xia, S., Liang, Y., Tang, L., Song, D., Xu, J., & Chen, Z. (2023) · Physical Review Letters · doi:10.1103/physrevlett.131.013804 · Cited by 45 · see citing works
Self-citationValley-dependent beams controlled by pseudomagnetic field in distorted photonic graphene
Deng, F., Li, Y., Sun, Y., Wang, X., Guo, Z., Shi, Y., Jiang, H., Chang, K., & Chen, H. (2015) · Optics Letters · doi:10.1364/ol.40.003380 · Cited by 45 · see citing works
Topological scattering resonances at ultralow frequencies
Gangaraj, S. A. H., Valagiannopoulos, C. A., & Monticone, F. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.023180 · Cited by 44 · see citing works
Observation of valley-dependent beams in photonic graphene
Deng, F., Sun, Y., Wang, X., Xue, R., Li, Y., Jiang, H., Shi, Y., Chang, K., & Chen, H. (2014) · Optics Express · doi:10.1364/oe.22.023605 · Cited by 42 · see citing works
Resonant Edge‐State Switching in Polariton Topological Insulators
Zhang, Y., Kartashov, Y. V., Zhang, Y., Torner, L., & Skryabin, D. V. (2018) · Laser & Photonics Review · doi:10.1002/lpor.201700348 · Cited by 39 · see citing works
Weyl points in photonic-crystal superlattices
Bravo‐Abad, J., Lü, L., Fu, L., Buljan, H., & Marin Soljacic, A. (2015) · 2D Materials · doi:10.1088/2053-1583/2/3/034013 · Cited by 40 · see citing works
Spectral properties of superconducting microwave photonic crystals modeling Dirac billiards
Dietz, B., Klaus, T., Miski-Oglu, M., & Richter, A. (2015) · Physical Review B · doi:10.1103/physrevb.91.035411 · Cited by 41 · see citing works
Robust entanglement with three-dimensional nonreciprocal photonic topological insulators
Gangaraj, S. A. H., Hanson, G. W., & Antezza, M. (2017) · Physical Review A · doi:10.1103/physreva.95.063807 · Cited by 40 · see citing works
Topologically Protected States in One-Dimensional Systems
Fefferman, C., Lee-Thorp, J., & Weinstein, M. I. (2017) · Memoirs of the American Mathematical Society · doi:10.1090/memo/1173 · Cited by 42 · see citing works
Maximum group velocity in a one-dimensional model with a sinusoidally varying staggered potential
Nag, T., Sen, D., & Dutta, A. (2015) · Physical Review A · doi:10.1103/physreva.91.063607 · Cited by 40 · see citing works
Topological Photonic States in Waveguide Arrays
Kang, J., Wei, R., Zhang, Q., & Dong, G. (2022) · Advanced Physics Research · doi:10.1002/apxr.202200053 · Cited by 37 · see citing works
Hyart, T., Ojajärvi, R., & Heikkilä, T. T. (2018) · Journal of Low Temperature Physics · doi:10.1007/s10909-017-1846-3 · Cited by 38 · see citing works
Topologically Protected Polarization Quantum Entanglement on a Photonic Chip
Wang, Y., Lu, Y., Gao, J., Chang, Y.-J., Ren, R.-J., Jiao, Z., Zhang, Z.-Y., & Jin, X. (2022) · Chip · doi:10.1016/j.chip.2022.100003 · Cited by 51 · see citing works
Geometric phase induced interface states in mutually inverted two-dimensional photonic crystals
Huang, X., Yang, Y., Hang, Z. H., Zhang, Z.-Q., & Chan, C. T. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.93.085415 · Cited by 37 · see citing works
Spectral Properties of Dirac Billiards at the van Hove Singularities
Dietz, B., Klaus, T., Miski-Oglu, M., Richter, A., Wunderle, M., & Bouazza, C. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.023901 · Cited by 37 · see citing works
Revival resonant scattering, perfect caustics, and isotropic transport of pseudospin-1 particles
Xu, H.-Y., & Lai, Y. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.94.165405 · Cited by 37 · see citing works
Measuring Topological Invariants in a Polaritonic Analog of Graphene
St-Jean, P., Dauphin, A., Massignan, P., Real, B., Jamadi, O., Milićević, M., Lemaître, A., Harouri, A., Gratiet, L. L., Sagnes, I., et al. (2021) · Physical Review Letters · doi:10.1103/physrevlett.126.127403 · Cited by 38 · see citing works
Dynamical polarization and plasmons in a two-dimensional system with merging Dirac points
Pyatkovskiy, P. K., & Chakraborty, T. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.93.085145 · Cited by 36 · see citing works
Topology of triple-point metals*
Winkler, G. W., Singh, S., & Soluyanov, A. A. (2019) · Chinese Physics B · doi:10.1088/1674-1056/28/7/077303 · Cited by 34 · see citing works
Quantum Topological Boundary States in Quasi‐Crystals
Wang, Y., Lu, Y., Gao, J., Sun, K., Jiao, Z., Tang, H. L., & Jin, X. (2019) · Advanced Materials · doi:10.1002/adma.201905624 · Cited by 36 · see citing works
He, L., Zhang, H., Zhang, W., Wang, Y., & Zhang, X. (2021) · New Journal of Physics · doi:10.1088/1367-2630/ac20eb · Cited by 36 · see citing works
Topological bound states of a quantum walk with cold atoms
Mugel, S., Celi, A., Massignan, P., Asbóth, J. K., Lewenstein, M., & Lobo, C. (2016) · Physical Review A · doi:10.1103/physreva.94.023631 · Cited by 35 · see citing works
Hybridized plasmons in graphene nanorings for extreme nonlinear optics
Gerislioglu, B., Ahmadivand, A., & Pala, N. (2017) · Optical Materials · doi:10.1016/j.optmat.2017.09.042 · Cited by 35 · see citing works
Observation of Valley Landau-Zener-Bloch Oscillations and Pseudospin Imbalance in Photonic Graphene
Sun, Y., Leykam, D., Nenni, S., Song, D., Chen, H., Chong, Y. D., & Chen, Z. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.033904 · Cited by 35 · see citing works
Self-citationTopologically-protected one-way leaky waves in nonreciprocal plasmonic structures
Gangaraj, S. A. H., & Monticone, F. (2018) · Journal of Physics Condensed Matter · doi:10.1088/1361-648x/aaab24 · Cited by 33 · see citing works
Möbius Strip Microlasers: A Testbed for Non-Euclidean Photonics
Song, Y., Monceaux, Y., Bittner, S., Chao, K., de la Cruz, H. M. R., Lafargue, C., Decanini, D., Dietz, B., Zyss, J., Grigis, A., et al. (2021) · Physical Review Letters · doi:10.1103/physrevlett.127.203901 · Cited by 33 · see citing works
Li, C., Hu, X., Yang, H., & Gong, Q. (2017) · AIP Advances · doi:10.1063/1.4976013 · Cited by 33 · see citing works
- 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 › Atomic and Molecular Physics, and Optics › 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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