The DOI matches its Crossref record; 29 of the 30 references it cites were found in a registry or an index.
Dirac cones induced by accidental degeneracy in photonic crystals and zero-refractive-index materials
Abstract
A zero-refractive-index metamaterial is one in which waves do not experience any spatial phase change, and such a peculiar material has many interesting wave-manipulating properties. These materials can in principle be realized using man-made composites comprising metallic resonators or chiral inclusions, but metallic components have losses that compromise functionality at high frequencies. It would be highly desirable if we could achieve a zero refractive index using dielectrics alone. Here, we show that by employing accidental degeneracy, dielectric photonic crystals can be designed and fabricated that exhibit Dirac cone dispersion at the centre of the Brillouin zone at a finite frequency. In addition to many interesting properties intrinsic to a Dirac cone dispersion, we can use effective medium theory to relate the photonic crystal to a material with effectively zero permittivity and permeability. We then numerically and experimentally demonstrate in the microwave regime that such dielectric photonic crystals with reasonable dielectric constants manipulate waves as if they had near-zero refractive indices at and near the Dirac point frequency.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“Both the focusing effect through a concave lens and the waveguiding and cloaking effect through a waveguide filled with ε eff = μ eff = 0 photonic crystal were demonstrated.”
From Dirac Dispersion in Two-Dimensional Photonic Crystals (2012) · cites this paper as [66]
In the citing paper
“In order to demonstrate that the photonic crystal with a band dispersion shown in Figure 1 does have ε eff (ω D ) = μ eff (ω D ) = 0 at the Dirac frequency, numerical simulations, and microwave experiments were carried out [66].”
From Dirac Dispersion in Two-Dimensional Photonic Crystals (2012) · cites this paper as [66]
In the citing paper
“If this triply degenerate state is formed by monopole and dipole excitations, the system can be mapped to an effective medium with permittivity and permeability equal to zero simultaneously”
From Dirac Dispersion in Two-Dimensional Photonic Crystals (2012) · cites this paper as [66]
In the citing paper
“We note that the emergence of linear bands as a consequence of accidental degeneracy at k = 0 can also be obtained using multiple scattering theory [66] or k • p perturbation [76,77].”
From Dirac Dispersion in Two-Dimensional Photonic Crystals (2012) · cites this paper as [66]
In the citing paper
“Dirac cones can also be used to tailor the dispersion of photonic structures”
From Topological photonics (2019) · cites this paper as Huang et al., 2011
Citations
Cites
The electronic properties of graphene
Castro Neto, A. H., Guinea, F., Peres, N. M. R., Novoselov, K. S., & Geim, A. K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.109 · Cited by 24,803
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
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
High-impedance electromagnetic surfaces with a forbidden frequency band
Sievenpiper, D. F., Zhang, L., Broas, R. F. J., Alexopolous, N. G., & Yablonovitch, E. (1999) · IEEE Transactions on Microwave Theory and Techniques · doi:10.1109/22.798001 · Cited by 4,263
Haldane, F. D. M., & Raghu, S. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.013904 · Cited by 2,787
A Chiral Route to Negative Refraction
Pendry, J. B. (2004) · Science · doi:10.1126/science.1104467 · Cited by 1,495
Silveirinha, M. G., & Engheta, N. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.157403 · Cited by 1,356
Analogs of quantum-Hall-effect edge states in photonic crystals
Raghu, S., & Haldane, F. D. M. (2008) · Physical Review A · doi:10.1103/physreva.78.033834 · Cited by 1,290
Epsilon-near-zero metamaterials and electromagnetic sources: Tailoring the radiation phase pattern
Alù, A., Silveirinha, M. G., Salandrino, A., & Engheta, N. (2007) · Physical Review B · doi:10.1103/physrevb.75.155410 · Cited by 1,066
Edwards, B. E., Alù, A., Young, M. E., Silveirinha, M. G., & Engheta, N. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.033903 · Cited by 764
Flagged first, then by citations
1 of the 30 references couldn’t be matched to a known paper.
Cited by
Sorted by citations
Items 201–300 of 990
Topology optimization of photonic crystals with exotic properties resulting from Dirac-like cones
Chen, Y., Meng, F., Li, G., & Huang, X. (2018) · Acta Materialia · doi:10.1016/j.actamat.2018.10.058 · Cited by 43
Self-citationNear‐Zero Index Photonic Crystals with Directive Bound States in the Continuum
Vertchenko, L., DeVault, C., Malureanu, R., Mazur, E., & Lavrinenko, A. V. (2021) · Laser & Photonics Review · doi:10.1002/lpor.202000559 · Cited by 43
Klein tunneling of optically tunable Dirac particles with elliptical dispersions
Iurov, A., Zhemchuzhna, L., Fekete, P., Gumbs, G. A., & Huang, D. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.043245 · Cited by 43
Experimental Observation of Non-Abelian Earring Nodal Links in Phononic Crystals
Wang, M., Liu, S., Ma, Q., Zhang, R.-Y., Wang, D., Guo, Q., Yang, B., Ke, M., Liu, Z., & Chan, C. T. (2022) · Physical Review Letters · doi:10.1103/physrevlett.128.246601 · Cited by 43
Self-citationPhotonic Chern insulator through homogenization of an array of particles
Xiao, M., & Fan, S. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.96.100202 · Cited by 45
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
Luo, J., Hang, Z. H., Chan, C. T., & Lai, Y. (2015) · Laser & Photonics Review · doi:10.1002/lpor.201500083 · Cited by 42
Self-citationDouble-Zero-Index Structural Phononic Waveguides
Zhu, H., & Semperlotti, F. (2017) · Physical Review Applied · doi:10.1103/physrevapplied.8.064031 · Cited by 42
Chan, C.-T., Huang, X., Liu, F., & Hang, Z. H. (2012) · Progress In Electromagnetics Research B · doi:10.2528/pierb12082103 · Cited by 41
Self-citationHan, L., Chen, S., & Chen, H. (2022) · Physical Review Letters · doi:10.1103/physrevlett.128.204501 · Cited by 41
Photonic crystals as metamaterials
Foteinopoulou, S. (2012) · Physica B Condensed Matter · doi:10.1016/j.physb.2012.01.092 · Cited by 41
Extraordinarily Large Optical Cross Section for Localized Single Nanoresonator
Zhou, M., Shi, L., Zi, J., & Yu, Z. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.023903 · Cited by 41
Direct imaging of isofrequency contours in photonic structures
Regan, E. C., Igarashi, Y., Zhen, B., Kaminer, I. E., Hsu, C. W., Shen, Y., Joannopoulos, J. D., & Marin Soljacic, A. (2016) · Science Advances · doi:10.1126/sciadv.1601591 · Cited by 41
Suppression of near-field coupling in plasmonic antennas on epsilon-near-zero substrates
DeVault, C., Zenin, V. A., Pors, A., Chaudhuri, K., Kim, J., Boltasseva, A. E., Shalaev, V. M., & Bozhevolnyi, S. I. (2018) · Optica · doi:10.1364/optica.5.001557 · Cited by 41
Liu, Y., dong, T. J., Qin, X., Luo, W., Leng, N., He, Y., Yuan, Y. Q., Bai, M., Sun, J., Zhou, J. P., et al. (2024) · eLight · doi:10.1186/s43593-023-00059-x · Cited by 40
Valagiannopoulos, C. A., & Tsitsas, N. L. (2012) · Radio Science · doi:10.1029/2011rs004878 · Cited by 40
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
Tuning topological phase transitions in hexagonal photonic lattices made of triangular rods
Chan, H., & Guo, G. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.045422 · Cited by 40
Frequency-preserved non-reciprocal acoustic propagation in a granular chain
Cui, J., Yang, T., & Chen, L. (2018) · Applied Physics Letters · doi:10.1063/1.5009975 · Cited by 40
Probability-Density-Based Deep Learning Paradigm for the Fuzzy Design of Functional Metastructures
Luo, Y., Li, P.-Q., Li, D., Peng, Y., Geng, Z.-G., Xie, S., Li, Y., Alù, A., Zhu, J., & Zhu, X. (2020) · Research · doi:10.34133/2020/8757403 · Cited by 40
TERAHERTZ METAMATERIAL MODULATORS BASED ON ABSORPTION
Zhou, H. S., Ding, F., Jin, Y., & He, S. (2011) · Electromagnetic waves · doi:10.2528/pier11061304 · Cited by 39
Goos-Hänchen shift of partially coherent light fields in epsilon-near-zero metamaterials
Ziauddin, Z., Chuang, Y.-L., Qamar, S., & Lee, R. (2016) · Scientific Reports · doi:10.1038/srep26504 · Cited by 39
On-chip all-dielectric fabrication-tolerant zero-index metamaterials
Kita, S., Li, Y., Camayd-Muñoz, P., Reshef, O., Vulis, D. I., Day, R. W., Mazur, E., & Lončar, M. (2017) · Optics Express · doi:10.1364/oe.25.008326 · Cited by 39
Cascaded forward Brillouin scattering to all Stokes orders
Wolff, C., Stiller, B., Eggleton, B. J., Steel, M. J., & Poulton, C. G. (2017) · New Journal of Physics · doi:10.1088/1367-2630/aa599e · Cited by 39
Realization of Zero-Refractive-Index Lens with Ultralow Spherical Aberration
He, X.-T., Huang, Z.-Z., Chang, M.-L., Xu, S.-Z., Zhao, F.-L., Deng, S.-Z., She, J.-C., & Dong, J. (2016) · ACS Photonics · doi:10.1021/acsphotonics.6b00714 · Cited by 40
Design and analysis of a new composite double negative metamaterial for multi-band communication
Hossain, M. J., Faruque, M. R. I., & Islam, M. T. (2017) · Current Applied Physics · doi:10.1016/j.cap.2017.04.008 · Cited by 39
Universality of mode symmetries in creating photonic Dirac cones
Sakoda, K. (2012) · Journal of the Optical Society of America B · doi:10.1364/josab.29.002770 · Cited by 39
Efficient mitigation of railway induced vibrations using seismic metamaterials
Ouakka, S., Gueddida, A., Pennec, Y., Djafari‐Rouhani, B., Kouroussis, G., & Verlinden, O. (2023) · Engineering Structures · doi:10.1016/j.engstruct.2023.115767 · Cited by 38
Design of full-k-space flat bands in photonic crystals beyond the tight-binding picture
Xu, C., Wang, G., Hang, Z. H., Luo, J., Chan, C. T., & Lai, Y. (2015) · Scientific Reports · doi:10.1038/srep18181 · Cited by 38
Self-citationDouble Dirac cone in two-dimensional phononic crystals beyond circular cells
Dai, H., Liu, T., Jiao, J., Xia, B., & Yu, D. (2017) · Journal of Applied Physics · doi:10.1063/1.4979852 · Cited by 38
Acoustic phase-reconstruction near the Dirac point of a triangular phononic crystal
Yu, S., Wang, Q., Zheng, L., He, C., Liu, X., Lu, M., & Chen, Y. (2015) · Applied Physics Letters · doi:10.1063/1.4918651 · Cited by 37
Su, Z., Yin, J., & Zhao, X. (2015) · Scientific Reports · doi:10.1038/srep16698 · Cited by 37
Perfect electromagnetic absorption using graphene and epsilon-near-zero metamaterials
Lobet, M., Majérus, B., Henrard, L., & Lambin, P. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.93.235424 · Cited by 37
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 38
Self-citationDipole-dipole interactions mediated by epsilon-and-mu-near-zero waveguide supercoupling [Invited]
Mahmoud, A. M., Liberal, I., & Engheta, N. (2017) · Optical Materials Express · doi:10.1364/ome.7.000415 · Cited by 37
Generalized WKB theory for electron tunneling in gapped α−T3 lattices
Weekes, N., Iurov, A., Zhemchuzhna, L., Gumbs, G. A., & Huang, D. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.103.165429 · Cited by 37
Experimental observation of multiple edge and corner states in photonic slabs heterostructures
Li, M., Wang, Y., Sang, T., Chu, H., Lai, Y., & Yang, G. (2021) · Photonics Research · doi:10.1364/prj.440640 · Cited by 38
Self-citationPhotonic realization of the (2+1)-dimensional parity anomaly
Ochiai, T. (2012) · Physical Review B · doi:10.1103/physrevb.86.075152 · Cited by 37
Giant optical nonlocality near the Dirac point in metal-dielectric multilayer metamaterials
Sun, L., Gao, J., & Yang, X. (2013) · Optics Express · doi:10.1364/oe.21.021542 · Cited by 35
Retrieval method for the bianisotropic polarizability tensor of Willis acoustic scatterers
Su, X., & Norris, A. N. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.98.174305 · Cited by 35
Tailorable Zero‐Phase Delay of Subwavelength Particles toward Miniaturized Wave Manipulation Devices
Zhao, Q. C., Xiao, Z., Zhang, F., Ma, J., Qiao, M., Meng, Y., Lan, C., Li, B., Zhou, J. P., Zhang, P., et al. (2015) · Advanced Materials · doi:10.1002/adma.201502298 · Cited by 34
Elastic gauge fields and Hall viscosity of Dirac magnons
Ferreirós, Y., & Vozmediano, M. A. H. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.054404 · Cited by 34
Ultrasensitive Higher-Order Exceptional Points via Non-Hermitian Zero-Index Materials
Yan, D., Shalin, A. S., Wang, Y., Lai, Y., Xu, Y., Hang, Z. H., Cao, F., Gao, L., & Luo, J. (2025) · Physical Review Letters · doi:10.1103/18gg-gvzc · Cited by 33
Self-citationGroup Theoretical Route to Deterministic Weyl Points in Chiral Photonic Lattices
Saba, M., Hamm, J. M., Baumberg, J. J., & Hess, O. G. (2017) · Physical Review Letters · doi:10.1103/physrevlett.119.227401 · Cited by 34
Bulk–spatiotemporal vortex correspondence in gyromagnetic zero-index media
Zhang, R.-Y., Cui, X., Zeng, Y.-S., Chen, J., Liu, W., Wang, M., Wang, D., Zhang, Z.-Q., Wang, N., Wu, G., et al. (2025) · Nature · doi:10.1038/s41586-025-08948-6 · Cited by 36
Self-citationXu, C., Fang, A., Chu, H., Luo, J., Chan, C. T., Hang, Z. H., & Lai, Y. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.93.245116 · Cited by 32
Self-citationTopological Flat Bands in Self-Complementary Plasmonic Metasurfaces
Xu, Z., Kong, X., Chang, J., Sievenpiper, D. F., & Cui, T. J. (2022) · Physical Review Letters · doi:10.1103/physrevlett.129.253001 · Cited by 32
Dirac directional emission in anisotropic zero refractive index photonic crystals
He, X., Zhong, Y.-N., Zhou, Y., Zhong, Z.-C., & Dong, J. (2015) · Scientific Reports · doi:10.1038/srep13085 · Cited by 32
Broadband focusing and collimation of water waves by zero refractive index
Zhang, C., Chan, C. T., & Hu, X. (2014) · Scientific Reports · doi:10.1038/srep06979 · Cited by 32
Self-citationEquivalent perfect magnetic conductor based on epsilon-near-zero media
Wang, T., Luo, J., Gao, L., Xu, P., & Lai, Y. (2014) · Applied Physics Letters · doi:10.1063/1.4876918 · Cited by 32
Self-citationYang, Y., Huang, X., & Hang, Z. H. (2016) · Physical Review Applied · doi:10.1103/physrevapplied.5.034009 · Cited by 32
Self-citationAll-dielectric polarization-independent optical angular filter
Qian, Q., Xu, C., & Wang, C. (2017) · Scientific Reports · doi:10.1038/s41598-017-16837-w · Cited by 32
Bor, E., Turduev, M., Yasa, U. G., Kurt, H., & Staliūnas, K. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.98.245112 · Cited by 32
Crosstalk prohibition at the deep‐subwavelength scale by epsilon‐near‐zero claddings
Ji, W., Luo, J., Chu, H., Zhou, X. R., Meng, X., Peng, R., Wang, M., & Lai, Y. (2023) · Nanophotonics · doi:10.1515/nanoph-2023-0085 · Cited by 31
Self-citationTransmission and Anderson localization in dispersive metamaterials
Asatryan, A. A., Botten, L. C., Byrne, M., Freilikher, V., Gredeskul, S. A., Shadrivov, I. V., McPhedran, R. C., & Kivshar, Y. S. (2012) · Physical Review B · doi:10.1103/physrevb.85.045122 · Cited by 31
‘Parabolic’ trapped modes and steered Dirac cones in platonic crystals
McPhedran, R. C., Movchan, A. B., Movchan, N. V., Brun, M., & Smith, M. J. A. (2015) · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rspa.2014.0746 · Cited by 31
Integrated optical Dirac physics via inversion symmetry breaking
Collins, M. J., Zhang, F., Bojko, R. J., Chrostowski, L., & Rechtsman, M. C. (2016) · Physical Review A · doi:10.1103/physreva.94.063827 · Cited by 31
Anomalous Anderson localization behaviors in disordered pseudospin systems
Fang, A., Zhang, Z.-Q., Louie, S. G., & Chan, C. T. (2017) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1620313114 · Cited by 31
Self-citationExtraordinary Sound Isolation Using an Ultrasparse Array of Degenerate Anisotropic Scatterers
Su, X., & Banerjee, D. (2020) · Physical Review Applied · doi:10.1103/physrevapplied.13.064047 · Cited by 31
Veselago lensing with Weyl metamaterials
Yang, Y., Bi, Y., Peng, L., Yang, B., Ma, S., Chan, H., Xiang, Y., & Zhang, S. (2021) · Optica · doi:10.1364/optica.406167 · Cited by 31
Zero refractive index in time-Floquet acoustic metamaterials
Koutserimpas, T. T., & Fleury, R. (2018) · Journal of Applied Physics · doi:10.1063/1.5006542 · Cited by 31
High-Efficiency Cross Polarization Converters by Plasmonic Metasurface
Li, R., Guo, Z., Wang, W., Zhang, J., Zhang, A., Liu, J., Qu, S., & Gao, J. X. (2015) · Plasmonics · doi:10.1007/s11468-015-9916-3 · Cited by 30
Enhanced transmission and beaming via a zero-index photonic crystal
Hajian, H., Özbay, E., & Çağlayan, H. (2016) · Applied Physics Letters · doi:10.1063/1.4959085 · Cited by 30
Extremely anisotropic epsilon-near-zero media in waveguide metamaterials
Ji, W., Luo, J., & Lai, Y. (2019) · Optics Express · doi:10.1364/oe.27.019463 · Cited by 30
Self-citationParametric oscillation of electromagnetic waves in momentum band gaps of a spatiotemporal crystal
Lee, S., Park, J., Cho, H., Wang, Y., Kim, B., Daraio, C., & Min, B. (2020) · Photonics Research · doi:10.1364/prj.406215 · Cited by 30
Hermitian and Non-Hermitian Dirac-Like Cones in Photonic and Phononic Structures
Luo, J., & Lai, Y. (2022) · Frontiers in Physics · doi:10.3389/fphy.2022.845624 · Cited by 30
Self-citationWang, J.-R., Chen, X., Zhao, F.-L., & Dong, J. (2016) · Scientific Reports · doi:10.1038/srep22739 · Cited by 30
Experimental realization of Mie-resonance terahertz absorber by self-assembly method
Gao, J., Lan, C., Zhao, Q. C., Li, B., & Zhou, J. (2018) · Optics Express · doi:10.1364/oe.26.013001 · Cited by 30
Using magnetic hyperbolic metamaterials as high frequency tunable filters
Macêdo, R., Livesey, K. L., & Camley, R. E. (2018) · Applied Physics Letters · doi:10.1063/1.5049602 · Cited by 29
Zangeneh‐Nejad, F., & Fleury, R. (2020) · Physical Review Letters · doi:10.1103/physrevlett.125.054301 · Cited by 29
Dirac cones and chiral selection of elastic waves in a soft strip
Lanoy, M., Lemoult, F., Eddi, A., & Prada, C. (2020) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2010812117 · Cited by 34
Optical Chirality Enhancement in Hollow Silicon Disk by Dipolar Interference
Du, K., Li, P. R., Wang, H., Gao, K., Liu, R., Lu, F., Zhang, W., & Mei, T. (2020) · Advanced Optical Materials · doi:10.1002/adom.202001771 · Cited by 29
Planar metasurface-based concentrators for solar energy harvest: from theory to engineering
Zhang, C., Zhan, Y., Qiu, Y., Xu, L., & Guan, J. (2022) · PhotoniX · doi:10.1186/s43074-022-00074-0 · Cited by 31
Conical diffraction and the dispersion surface of hyperbolic metamaterials
Ballantine, K. E., Donegan, J. F., & Eastham, P. R. (2014) · Physical Review A · doi:10.1103/physreva.90.013803 · Cited by 29
Additional modes in a waveguide system of zero-index-metamaterials with defects
Fu, Y., Xu, Y., & Chen, H. (2014) · Scientific Reports · doi:10.1038/srep06428 · Cited by 28
Hidden-symmetry-enforced nexus points of nodal lines in layer-stacked dielectric photonic crystals
Xiong, Z., Zhang, R.-Y., Yu, R., Chan, C. T., & Chen, Y. (2020) · Light Science & Applications · doi:10.1038/s41377-020-00382-9 · Cited by 28
Self-citationPerfect field concentrator using zero index metamaterials and perfect electric conductors
Sadeghi, M. M., Nadgaran, H., & Chen, H. (2013) · Frontiers of Physics · doi:10.1007/s11467-013-0374-0 · Cited by 28
Choi, S., Park, C.-H., & Louie, S. G. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.026802 · Cited by 28
Lumped model for rotational modes in phononic crystals
Peng, P., Mei, J., & Wu, Y. (2012) · Physical Review B · doi:10.1103/physrevb.86.134304 · Cited by 28
Conical intersections for light and matter waves
Leykam, D., & Desyatnikov, A. S. (2016) · Advances in Physics X · doi:10.1080/23746149.2016.1144482 · Cited by 28
Two-dimensional discrete granular phononic crystal for shear wave control
Pichard, H., Duclos, A., Groby, J., Tournat, V., & Gusev, V. (2012) · Physical Review B · doi:10.1103/physrevb.86.134307 · Cited by 27
Indaleeb, M. M., Banerjee, S., Ahmed, H., Saadatzi, M., & Ahmed, R. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.99.024311 · Cited by 27
Huang, D., Iurov, A., Xu, H.-Y., Lai, Y., & Gumbs, G. A. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.99.245412 · Cited by 27
Self-citationExceptional concentric rings in a non-Hermitian bilayer photonic system
Wang, H., Xie, B., Gupta, S. K., Zhu, X.-Y., Liu, L., Liu, X.-P., Lu, M., & Chen, Y. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.100.165134 · Cited by 27
Normal Doppler Frequency Shift in Negative Refractive‐Index Systems
Lin, X., & Zhang, B. (2019) · Laser & Photonics Review · doi:10.1002/lpor.201900081 · Cited by 27
Han, X., Li, L., Hu, Y., Ling, L., Geng, Z.-G., Peng, Y., Zhao, D., Zhu, X., & Wang, X. (2020) · Physical Review Applied · doi:10.1103/physrevapplied.14.024091 · Cited by 27
Photonic Flatband Resonances in Multiple Light Scattering
Hoang, T. X., Leykam, D., & Kivshar, Y. S. (2024) · Physical Review Letters · doi:10.1103/physrevlett.132.043803 · Cited by 27
Zhu, X.-Y., Gupta, S. K., Sun, X., He, C., Li, G., Jiang, J., Liu, X.-P., Lu, M., & Chen, Y. (2018) · Optics Express · doi:10.1364/oe.26.024307 · Cited by 27
Pseudospin-1 Physics of Photonic Crystals
Fang, A., Zhang, Z.-Q., Louie, S. G., & Chan, C. T. (2019) · Research · doi:10.34133/2019/3054062 · Cited by 26
Self-citationRelaxed Phase-Matching Constraints in Zero-Index Waveguides
Gagnon, J. R., Reshef, O., Espinosa, D. H. G., Alam, M. Z., Vulis, D. I., Knall, E., Upham, J., Li, Y., Dolgaleva, K., Mazur, E., et al. (2022) · Physical Review Letters · doi:10.1103/physrevlett.128.203902 · Cited by 26
Optical response of two-dimensional Dirac materials with a flat band
Han, C.-D., & Lai, Y. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.105.155405 · Cited by 27
Self-citationSwitchable Wideband Terahertz Absorber Based on Refractory and Vanadium Dioxide Metamaterials
Wang, J., Yao, Y. Q., Liu, X., Liu, G., & Liu, Z. (2023) · IEEE photonics journal · doi:10.1109/jphot.2023.3234535 · Cited by 26
Dispersion engineering via nonlocal transformation optics
Moccia, M., Castaldi, G., Galdi, V., Alù, A., & Engheta, N. (2016) · Optica · doi:10.1364/optica.3.000179 · Cited by 26
Topology-optimized dual-polarization Dirac cones
Lin, Z., Christakis, L., Li, Y., Mazur, E., Rodríguez, A. W., & Lončar, M. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.081408 · Cited by 26
Nonlocal effective medium approximation for metallic nanorod metamaterials
Geng, T., Zhuang, S., Gao, J., & Yang, X. (2015) · Physical Review B · doi:10.1103/physrevb.91.245128 · Cited by 26
Bi, D., Guo, Z., Wang, Q., Wei, Q., Wu, J., Sun, Y., Chen, Y., Yang, Y., Jiang, H., & Chen, H. (2025) · Laser & Photonics Review · doi:10.1002/lpor.202401900 · Cited by 25
Fan, Y., Wang, J., Li, Y., Pang, Y., Zheng, L., Xiang, J., Zhang, J., & Qu, S. (2018) · Journal of Physics D Applied Physics · doi:10.1088/1361-6463/aab8cd · Cited by 25
Systematic realization of double-zero-index phononic crystals with hard inclusions
Hyun, J., Choi, W., Wang, S., Park, C.-S., & Kim, M. (2018) · Scientific Reports · doi:10.1038/s41598-018-25696-y · Cited by 25
Dual Dirac cones in elastic Lieb-like lattice metamaterials
Li, B., Li, Z., Christensen, J., & Tan, K. T. (2019) · Applied Physics Letters · doi:10.1063/1.5085782 · Cited by 25
Asymmetric transmission of elastic shear vertical waves in solids
Zeng, L., Zhang, J., Liu, Y., Zhao, Y., & Hu, N. (2019) · Ultrasonics · doi:10.1016/j.ultras.2019.03.016 · Cited by 25
Metadata
- Authors
- Huang, X., Lai, Y., Hang, Z. H., Zheng, H., & Chan, C. T.
- Affiliations
- Hong Kong University of Science and Technology (HK)
- Corresponding author
- Chan, C. T.
- Venue
- Nature Materials
- Published
- 2011-05-29
- Volume
- 10
- Issue
- 8
- Pages
- 582-586
- ISSN
- 1476-1122 (ISSN-L)
- 1476-4660
- OpenAlex
- W1964548562
- Cited by
- 993
- References
- 30
- Citations by year
- 2026: 41 · 2025: 63 · 2024: 48 · 2023: 72 · 2022: 62 · 2021: 74 · 2020: 81 · 2019: 89 · 2018: 79 · 2017: 94 · 2016: 89 · 2015: 62 · 2014: 54 · 2013: 38 · 2012: 41
- FWCI
- 17.62
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Nature Materials (publishedVersion)
- PubMed (publishedVersion)
- Rare & Special e-Zone (The Hong Kong University of Science and Technology) (submittedVersion)
- 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 › Photonic Crystals and Applications
- Physical Sciences › Physics and Astronomy › Acoustics and Ultrasonics › Acoustic Wave Phenomena Research
- Keywords
- Dirac cones, Dirac point, photonic crystals, zero refractive index, zero-index metamaterials, accidental degeneracy, dielectric photonic crystals, effective medium theory, wave manipulation, Brillouin zone
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
