The DOI matches its Crossref record; 19 of the 19 references it cites were found in a registry or an index; none of the 14 sources its claims cite is checked for support yet.
Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal
Open accessAbstract
We point out that electromagnetic one-way edge modes analogous to quantum Hall edge states, originally predicted by Raghu and Haldane in 2D photonic crystals possessing Dirac point-derived band gaps, can appear in more general settings. We show that the TM modes in a gyromagnetic photonic crystal can be formally mapped to electronic wave functions in a periodic electromagnetic field, so that the only requirement for the existence of one-way edge modes is that the Chern number for all bands below a gap is nonzero. In a square-lattice yttrium-iron-garnet crystal operating at microwave frequencies, which lacks Dirac points, time-reversal breaking is strong enough that the effect should be easily observable. For realistic material parameters, the edge modes occupy a 10% band gap. Numerical simulations of a one-way waveguide incorporating this crystal show 100% transmission across strong defects.
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“For realistic material parameters, the edge modes occupy a 10% band gap.”
- Also stated in: § Abstract · plain
“With a 1600 Gauss bias, we obtain a wide MO band gap of 10% relative size and very low dispersion, with the edge mode confined to a few lattice constants.”
§ Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal > Abstract
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In the paper
“For example, Fig. 2 shows the TM band diagram for a square lattice of YIG rods in air, containing a quadratic M-point degeneracy between the second and third bands.”
§ Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal > Abstract
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In the paper
“This degeneracy is lifted upon applying an external dc magnetic field, which introduces magnetic anisotropy in the high-index rods and breaks T (as well as inversion and mirror symmetries.)”
§ Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesThe paper states this without a source or data behind it here, so there is nothing to check it against. The quote shows it is in the paper.
In the paper
“With realistic material parameters, the one-way modes are laterally confined to a few lattice constants, and occupy a broad (10%) band gap with negligible material loss.”
§ Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal > Abstract
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In the paper
“With realistic material parameters, the one-way modes are laterally confined to a few lattice constants, and occupy a broad (10%) band gap with negligible material loss.”
- Also stated in: § Abstract · plain
“With a 1600 Gauss bias, we obtain a wide MO band gap of 10% relative size and very low dispersion, with the edge mode confined to a few lattice constants.”
§ Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal > Abstract
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In the paper
“Numerical simulations of a oneway waveguide incorporating this crystal show 100% transmission across strong defects.”
- Also stated in: § Abstract · plain
“In the one-way waveguide, a steady-state source operating at the midgap frequency 0:555 2c=a excites a one-way mode that circumvents the PEC defect, with 100% power transmission throughout the MO band gap.”
§ Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal > Abstract
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In the paper
“The MO photonic crystal exhibits strong (order unity) T breaking due to the use of gyromagnetic ferrimagnets.”
§ Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesThe paper states this without a source or data behind it here, so there is nothing to check it against. The quote shows it is in the paper.
In the paper
“In the one-way waveguide, a steady-state source operating at the midgap frequency 0:555 2c=a excites a one-way mode that circumvents the PEC defect, with 100% power transmission throughout the MO band gap.”
§ Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIn the paper
“With a gyromagnetic linewidth of 0.3 Oe and a dieletric loss tangent of 0.0002, typical in commericially available monocrystalline YIG [17], the complex propagation constant is 0:359 0:0001i 2=a in the case of Fig. 3.”
§ Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal > PRL 100, 013905 (2008) P H Y S I C A L R E V I E W L E T T E R S
What the sources say
- Not matchedcites [17] 17. E. P. Wohlfarth, in Ferromagnetic Materials (North- Holland, Amsterdam, 1986), Vol. 2, p. 293.
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In the paper
“Although embedded sources were used in these simulations, we have verified in a separate set of simulations that it is also easy to couple to the one-way mode using waves incident on the system boundary.”
§ Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal > Abstract
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- It may state two separate claims as one. 8
- Probably not a substantial claim. 4
The paper states this without a source or data behind it here, so there is nothing to check it against. The quote shows it is in the paper.
In the paper
“The separated bands acquire nonzero Chern numbers, causing one-way modes to appear at the edges of the sample.”
§ Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIt may state two separate claims as one.
A result the paper reports from its own data — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“With a 1600 Gauss bias, we obtain a wide MO band gap of 10% relative size and very low dispersion, with the edge mode confined to a few lattice constants.”
§ Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIt may state two separate claims as one.
The paper states this without a source or data behind it here, so there is nothing to check it against. The quote shows it is in the paper.
In the paper
“Note that the regular crystal has zero Chern numbers for all its photonic bands, so there is only one forward-propagating mode at the interface.”
§ Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIt may state two separate claims as one.
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In the paper
“Although such reduction narrows the operational bandwidth, we find the dispersion has no impact on the backscattering suppression or the confinement of the edge mode.”
§ Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal > PRL 100, 013905 (2008) P H Y S I C A L R E V I E W L E T T E R S
Strength:plain· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes? Load-bearing: unclear✓ Based: passesIt may state two separate claims as one.
In the paper
“Hatsugai has shown that in a lattice QH system, this process creates a total of C different edge states at the system's boundary [9].”
§ Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal > Abstract
What the sources say
- Not matchedcites [9] 9. Y. Hatsugai, Phys. Rev. Lett. 71, 3697 (1993).
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In the paper
“When the system is tuned past this critical point, the degeneracies are lifted; a band gap opens and the band's Chern number changes by an integer C.”
§ Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIt may state two separate claims as one.
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In the paper
“Because of the absence of backpropagating modes, backscattering is completely suppressed.”
- Also stated in: § Abstract · plain
“One of the unusual properties of the one-way edge modes is the complete suppression of backscattering, which is an optical analog of the dissipation-free transport of edge electrons in QH systems.”
§ Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIt may state two separate claims as one.
- Also stated in: § Abstract · plain
In the paper
“The key properties of the Chern number are that (i) it is always an integer, (ii) the sum of the Chern numbers over all bands is zero, and (iii) the Chern number of every band is zero if the Hamiltonian is T symmetric [13].”
§ Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal > Abstract
What the sources say
- Not matchedcites [13] 13. B. Simon, Phys. Rev. Lett. 51, 2167 (1983).
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Load-bearingStrength:plain· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesProbably not a substantial claim.
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In the paper
“The key properties of the Chern number are that (i) it is always an integer, (ii) the sum of the Chern numbers over all bands is zero, and (iii) the Chern number of every band is zero if the Hamiltonian is T symmetric [13].”
§ Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal > Abstract
What the sources say
- Not matchedcites [13] 13. B. Simon, Phys. Rev. Lett. 51, 2167 (1983).
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Strength:plain· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes✗ Load-bearing: fails✓ Based: passesProbably not a substantial claim. The paper’s conclusions may not depend on it.
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A conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“As a result, the band gap is not robust against disorder, and the edge modes scatter easily into bulk modes of the crystal, leading to significant radiative loss.”
§ Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIt may state two separate claims as one.
- Rests on an assumption: In realistic gyroelectric materials, the strength of time-reversal breaking (the Voigt parameter) is at most 10^-3.
A conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“While our analysis has thus far been limited to 2D structures at microwave frequencies, similar one-way waveguides can be realized in practical 3D structures and at higher frequencies.”
§ Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal > Abstract
Strength:plain· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes✗ Load-bearing: fails✓ Based: passesProbably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
The authors state this as an assumption.
Hatsugai's relation between edge states and Chern numbers, derived using a lattice quantum Hall model, applies to the photonic system.
“The Chern-number argument for the existence of photonic edge modes depends on a crucial assumption: that Hatsugai's relation between edge states and Chern numbers [9], which was derived using a lattice QH model, applies to the photonic system.”
The paper relies on this without support.
In realistic gyroelectric materials, the strength of time-reversal breaking (the Voigt parameter) is at most 10^-3.
“In realistic gyroelectric materials, the strength of T breaking, characterized by the ratio of (imaginary) offdiagonal to (real) on-diagonal elements of the permittivity tensor (the Voigt parameter) is at most 10 ÿ3 .”
The paper relies on this without support.
One-way edge modes in gyroelectric photonic crystals have never been observed experimentally.
“To our knowledge, these one-way edge modes have never been observed experimentally, and to do so one would desire a band gap that is orders of magnitude broader.”
The authors state this as an assumption.
The permeability tensor is frequency-independent with real-valued μ and κ, neglecting material dispersion and loss.
“For now, we neglect the effect of material dispersion and loss, assuming a frequency-independent permeability tensor with real-valued and .”
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In the citing paper
“the idea of Haldane and Raghu was experimentally implemented using the two-dimensional magnetooptical photonic crystal structure in the microwave domain”
From Topological photonics (2019) · cites this paper as Wang et al., 2008
Checked by a reasoning model — may be wrong.
Experimental — accuracy not yet measuredThe source backs part of the claim, not all of it — or backs it for a different population, condition or comparison.
In the citing paper
“Soon after, this was followed by a realistic design of a gyromagnetic photonic crystal operating at microwave frequencies and displaying a Chern number of 1 (Chong, Wen, and Soljačić, 2008;Wang et al., 2008).”
From Topological photonics (2019) · cites this paper as Wang et al., 2008
Experimental — accuracy not yet measuredIn the citing paper
“Finally we mention that a topological phase similar to that reported here should also be observable in a wider class of bianisotropic systems with quadratic degeneracies [ 14, 46].”
From Photonic topological insulators (2013) · cites this paper as [14]
In the citing paper
“In contrast, our photonic meta-crystal structure preserves time-reversal symmetry and realizes quantum spin Hall response with spin-polarized one-way photonic edge transport.”
From Photonic topological insulators (2013) · cites this paper as [14]
In the citing paper
“Finally, the spin-orbit interaction of light and spin-to-orbit conversion of the angular momentum (which can be associated with the spin Hall effect) occurs upon the scattering of polarized plane waves on various non-planar objects, such as lenses or small scatterers, or in inhomogeneous anisotropic media [67,145 -152].”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [147]
Citations
Cites
Inhibited Spontaneous Emission in Solid-State Physics and Electronics
Yablonovitch, E. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.2059 · Cited by 14,175
Strong localization of photons in certain disordered dielectric superlattices
John, S. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.2486 · Cited by 10,269
Magnetism from conductors and enhanced nonlinear phenomena
Pendry, J. B., Holden, A. J., Robbins, D. J., & Stewart, W. J. (1999) · IEEE Transactions on Microwave Theory and Techniques · doi:10.1109/22.798002 · Cited by 8,786
Pozar, D. M. (1990) · Cited by 8,075
Photonic Crystals: Molding the Flow of Light
Joannopoulos, J. D., Johnson, S. G., Winn, J. N., & Meade, R. D. (1995) · Cited by 7,971
Self-citationQuantized Hall Conductance in a Two-Dimensional Periodic Potential
Thouless, D. J., Kohmoto, M., Nightingale, M. P., & den Nijs, M. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.405 · Cited by 6,973
Barué, G. (2007) · Wiley eBooks · doi:10.1002/9780470290996 · Cited by 6,392
Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields
Hofstadter, D. R. (1976) · Physical Review B · doi:10.1103/physrevb.14.2239 · Cited by 3,495
Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase
Simon, B. (1983) · Physical Review Letters · doi:10.1103/physrevlett.51.2167 · Cited by 1,937
Terahertz Magnetic Response from Artificial Materials
Yen, T., Padilla, W. J., Fang, N. X., Vier, D. C., Smith, D. R., Pendry, J. B., Basov, D. N., & Zhang, X. (2004) · Science · doi:10.1126/science.1094025 · Cited by 1,530
Flagged first, then by citations
Cited by
Sorted by citations
Items 101–200 of 1,444
Ni, X., Yves, S., Krasnok, A., & Alù, A. (2023) · Chemical Reviews · doi:10.1021/acs.chemrev.2c00800 · Cited by 166
Topological edge plasmon modes between diatomic chains of plasmonic nanoparticles
Ling, C. W., Xiao, M., Chan, C. T., Yu, S. F., & Fung, K. H. (2015) · Optics Express · doi:10.1364/oe.23.002021 · Cited by 149
Effective theory of quadratic degeneracies
Chong, Y. D., Wen, X.-G., & Soljačić, M. (2008) · Physical Review B · doi:10.1103/physrevb.77.235125 · Cited by 146
Self-citationPhotonic Floquet topological insulators in a fractal lattice
Yang, Z., Lustig, E., Lumer, Y., & Segev, M. (2020) · Light Science & Applications · doi:10.1038/s41377-020-00354-z · Cited by 145
“They have been at the forefront of the condensed matter physics for the past decade and more recently inspired the emergence of topological phases in many classical-wave systems [3-5], such as microwaves [6-8], photonics [3, 6-15], acoustics [4] and more.”
BackgroundCoriolis force induced topological order for classical mechanical vibrations
Wang, Y., Luan, P., & Zhang, S. (2015) · New Journal of Physics · doi:10.1088/1367-2630/17/7/073031 · Cited by 151
“antum Hall effect could be achieved by using periodically arranged gyromagnetic rods. Following this idea, many research groups have realized topologically protected one-way edge states theoretically [8, 9, 10] and experimentally [11]. Also, by employing periodically arranged meta-crystals and helical arrays two appro…”
BackgroundQuadrupole topological photonic crystals
He, L., Addison, Z., Melé, E. J., & Zhen, B. (2020) · Nature Communications · doi:10.1038/s41467-020-16916-z · Cited by 165
Pseudo-time-reversal symmetry and topological edge states in two-dimensional acoustic crystals
Mei, J., Chen, Z., & Wu, Y. (2016) · Scientific Reports · doi:10.1038/srep32752 · Cited by 150
Topological photonic crystals with zero Berry curvature
Liu, F., Deng, H.-Y., & Wakabayashi, K. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.035442 · Cited by 140
A brief review of topological photonics in one, two, and three dimensions
Lan, Z., Chen, M. L. N., Gao, F., Zhang, S., & Sha, W. E. I. (2022) · Reviews in Physics · doi:10.1016/j.revip.2022.100076 · Cited by 147
“Later, Wang et al, [84] pointed out that Dirac points in the band structure are not strictly necessary for observing these reflection-free one-way edge modes and they demonstrated the existence of transverse magnetic (TM) photonic bandgaps with nonzero Chern number in a square-lattice gyromagnetic photonic crystal ope…”
BackgroundTopological spin waves in the atomic-scale magnetic skyrmion crystal
Roldán-Molina, A., Núñez, Á. S., & Fernández-Rossier, J. (2016) · New Journal of Physics · doi:10.1088/1367-2630/18/4/045015 · Cited by 132
Topological Photonic Integrated Circuits Based on Valley Kink States
Ma, J., Xi, X., & Sun, X. (2019) · Laser & Photonics Review · doi:10.1002/lpor.201900087 · Cited by 149
Robust one-way modes in gyromagnetic photonic crystal waveguides with different interfaces
Fu, J., Liu, R., & Li, Z. (2010) · Applied Physics Letters · doi:10.1063/1.3470873 · Cited by 137
Topological photonics in synthetic dimensions
Lustig, E., & Segev, M. (2021) · Advances in Optics and Photonics · doi:10.1364/aop.418074 · Cited by 137
Measurement of a Topological Edge Invariant in a Microwave Network
Hu, W., Pillay, J. C., Wu, K., Pasek, M., Shum, P. P., & Chong, Y. D. (2015) · Physical Review X · doi:10.1103/physrevx.5.011012 · Cited by 154
Self-citationTunable one-way cross-waveguide splitter based on gyromagnetic photonic crystal
He, C., Chen, X., Lu, M., Li, X., Wan, W., Qian, X., Yin, R.-C., & Chen, Y. (2010) · Applied Physics Letters · doi:10.1063/1.3358386 · Cited by 133
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 133
Xie, B.-Y., Wang, H., Zhu, X.-Y., Lu, M., Wang, Z., & Chen, Y. (2018) · Optics Express · doi:10.1364/oe.26.024531 · Cited by 135
Self-citationNetwork models of photonic Floquet topological insulators
Pasek, M., & Chong, Y. D. (2014) · Physical Review B · doi:10.1103/physrevb.89.075113 · Cited by 132
Self-citationTopological all-optical logic gates based on two-dimensional photonic crystals
He, L., Zhang, W. X., & Zhang, X. D. (2019) · Optics Express · doi:10.1364/oe.27.025841 · Cited by 130
Symmetry-Protected Ideal Type-II Weyl Phonons in CdTe
Xia, B., Wang, R., Chen, Z., Zhao, Y. J., & Xu, H. (2019) · Physical Review Letters · doi:10.1103/physrevlett.123.065501 · Cited by 128
Topological tight-binding models from nontrivial square roots
Arkinstall, J., Teimourpour, M. H., Feng, L., El‐Ganainy, R., & Schomerus, H. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.95.165109 · Cited by 128
Lasing at topological edge states in a photonic crystal L3 nanocavity dimer array
Han, C., Lee, M., Callard, S., Seassal, C., & Jeon, H. (2019) · Light Science & Applications · doi:10.1038/s41377-019-0149-7 · Cited by 129
Topological Insulators by Topology Optimization
Christiansen, R. E., Wang, F., & Sigmund, O. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.234502 · Cited by 126
Topologically Protected Complete Polarization Conversion
Guo, Y., Xiao, M., & Fan, S. (2017) · Physical Review Letters · doi:10.1103/physrevlett.119.167401 · Cited by 126
Optoelectronic devices, plasmonics, and photonics with topological insulators
Politano, A., Viti, L., & Vitiello, M. S. (2017) · APL Materials · doi:10.1063/1.4977782 · Cited by 123
Topological photonics: Where do we go from here?
Segev, M., & Bandres, M. A. (2020) · Nanophotonics · doi:10.1515/nanoph-2020-0441 · Cited by 125
A perspective on topological nanophotonics: Current status and future challenges
Rider, M. S., Palmer, S. J., Pocock, S. R., Xiao, X., Huidobro, P. A., & Giannini, V. (2019) · Journal of Applied Physics · doi:10.1063/1.5086433 · Cited by 129
“band structures containing Dirac points, another study [50] noted that a Dirac cone is not imperative for a system to support edge states, merely that the band structures of materials of either side of an interface have different Chern numbers of bands below the gap.”
BackgroundMagneto-optical circulator designed for operation in a uniform external magnetic field
Śmigaj, W., Romero-Vivas, J., Gralak, B., et al. (2010) · Optics Letters · doi:10.1364/ol.35.000568 · Cited by 122
Topolectric circuits: Theory and construction
Dong, J., Juričić, V., & Roy, B. (2021) · Physical Review Research · doi:10.1103/physrevresearch.3.023056 · Cited by 131
Scattering-free edge states between heterogeneous photonic topological insulators
Ma, T., & Shvets, G. (2017) · Physical Review B · doi:10.1103/physrevb.95.165102 · Cited by 122
“Therefore, at the K/K! edges we choose n = 1,2 in Eqs.(1,2) to represent the LCP and RCP orbital states, respectively.”
BackgroundProgrammable elastic valley Hall insulator with tunable interface propagation routes
Zhang, Q., Chen, Y., Zhang, K., & Hu, G. (2019) · Extreme Mechanics Letters · doi:10.1016/j.eml.2019.03.002 · Cited by 122
Li, Y., Sun, Y., Zhu, W., Guo, Z., Jiang, J., Kariyado, T., Chen, H., & Hu, X. (2018) · Nature Communications · doi:10.1038/s41467-018-07084-2 · Cited by 121
Reconfigurable topological photonic crystal
Shalaev, M. I., Desnavi, S., Walasik, W. T., & Litchinitser, N. M. (2018) · New Journal of Physics · doi:10.1088/1367-2630/aaac04 · Cited by 124
Hybrid topological photonic crystals
Wang, Y., Wang, H., Li, L., Zhu, W., Fan, L., Lin, Z., Li, F., Zhang, X., Luan, P., Poo, Y., et al. (2023) · Nature Communications · doi:10.1038/s41467-023-40172-6 · Cited by 122
Four-wave mixing of topological edge plasmons in graphene metasurfaces
You, J. W., Lan, Z., & Panoiu, N. C. (2020) · Science Advances · doi:10.1126/sciadv.aaz3910 · Cited by 120
Longhi, S. (2014) · Optics Letters · doi:10.1364/ol.39.005892 · Cited by 120
Tutorial: Computing Topological Invariants in 2D Photonic Crystals
de Paz, M. B., Devescovi, C., Giedke, G., Sáenz, J. J., Vergniory, M. G., Bradlyn, B., Bercioux, D., & García‐Etxarri, A. (2019) · Advanced Quantum Technologies · doi:10.1002/qute.201900117 · Cited by 127
Bulk-edge correspondence for topological photonic continua
Silveirinha, M. G. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.94.205105 · Cited by 115
“The intimate connection between the abstract topological properties of the band structure and the wave propagation with no back-scattering made possible the development of novel paradigms and platforms for waveguiding insensitive to disorder and imperfections [5-13].”
BackgroundOptical isolation with nonlinear topological photonics
Zhou, X., Wang, Y., Leykam, D., & Chong, Y. D. (2017) · New Journal of Physics · doi:10.1088/1367-2630/aa7cb5 · Cited by 128
Self-citationActive Ultrahigh‐ Q (0.2 × 10 6 ) THz Topological Cavities on a Chip
Kumar, A., Gupta, M., Pitchappa, P., Tan, T. C., Chattopadhyay, U., Ducournau, G., Wang, N., Chong, Y. D., & Singh, R. (2022) · Advanced Materials · doi:10.1002/adma.202202370 · Cited by 119
Self-citationElectromagnetic Unidirectionality in Magnetic Photonic Crystals
Figotin, A., & Vitebsky, I. M. (2013) · Springer series in materials science · doi:10.1007/978-3-642-35509-7_3 · Cited by 112
Dirac degeneracy and elastic topological valley modes induced by local resonant states
Zhang, Q., Chen, Y., Zhang, K., & Hu, G. (2020) · Physical review. B./Physical review. B · doi:10.1103/physrevb.101.014101 · Cited by 117
Topological edge and corner states in a two‐dimensional photonic Su‐Schrieffer‐Heeger lattice
Kim, M., & Rho, J. (2018) · Nanophotonics · doi:10.1515/nanoph-2019-0451 · Cited by 114
Terahertz topological photonic integrated circuits for 6G and beyond: A Perspective
Kumar, A., Gupta, M., Pitchappa, P., Wang, N., Fujita, M., & Singh, R. (2022) · Journal of Applied Physics · doi:10.1063/5.0099423 · Cited by 116
Valley-protected backscattering suppression in silicon photonic graphene
Chen, X.-D., & Dong, J.-W. (2016) · arXiv · doi:10.48550/arxiv.1602.03352 · Cited by 115
“breaking time-reversal symmetry [15] or photonic QSHE by introducing photonic”
BackgroundExperimental observation of photonic nodal line degeneracies in metacrystals
Gao, W., Yang, B., Tremain, B., Liu, H., Guo, Q., Xia, L., Hibbins, A. P., & Zhang, S. (2018) · Nature Communications · doi:10.1038/s41467-018-03407-5 · Cited by 112
Topological protection of photonic path entanglement
Rechtsman, M. C., Lumer, Y., Plotnik, Y., Perez-Leija, A., Szameit, A., & Segev, M. (2016) · Optica · doi:10.1364/optica.3.000925 · Cited by 111
Tang, D.-S., & Cao, B.-Y. (2022) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2022.123497 · Cited by 113
Photonic surface waves on metamaterial interfaces
Takayama, O., Bogdanov, A., & Lavrinenko, A. V. (2017) · Journal of Physics Condensed Matter · doi:10.1088/1361-648x/aa8bdd · Cited by 110
Parity‐Time Symmetry in Non‐Hermitian Complex Optical Media
Gupta, S. K., Zou, Y., Zhu, X., Lu, M., Zhang, L., Liu, X., & Chen, Y. (2019) · Advanced Materials · doi:10.1002/adma.201903639 · Cited by 115
Valley Physics in Non-Hermitian Artificial Acoustic Boron Nitride
Wang, M., Ye, L., Christensen, J., & Liu, Z. (2018) · Physical Review Letters · doi:10.1103/physrevlett.120.246601 · Cited by 106
Topological photonic crystals: a review
Wang, H., Gupta, S. K., Xie, B., & Lu, M. (2020) · Frontiers of Optoelectronics · doi:10.1007/s12200-019-0949-7 · Cited by 107
“optical applications such as topologically protected edge states without backscattering [15,31,74,82,137,146], topological lasers [148,149], and topological waveguides [14,24,132].”
BackgroundAsymmetric transmission of terahertz radiation through a double grating
Stolarek, M., Yavorskiy, D., Kotyński, R., Rodríguez, C. J. Z., Łusakowski, J., & Szoplik, T. (2013) · Optics Letters · doi:10.1364/ol.38.000839 · Cited by 102
Four-wave mixing of topological edge plasmons in graphene metasurfaces
You, J., Lan, Z., & Panoiu, N. (2020) · UCL Discovery (University College London) · Cited by 102
Efficient Fizeau drag from Dirac electrons in monolayer graphene
Zhao, W., Zhao, S., Li, H., Wang, S., Wang, S., Utama, M. I. B., Kahn, S., Jiang, Y., Xiao, X., Yoo, S., et al. (2021) · Nature · doi:10.1038/s41586-021-03574-4 · Cited by 104
Gyrotropic response in the absence of a bias field
Wang, Z., Wang, Z., Wang, J., Zhang, B., Huangfu, J., Joannopoulos, J. D., Marin Soljacic, A., & Ran, L. (2012) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1210923109 · Cited by 105
Self-citationHe, Z., Peng, S., Ye, Y., Dai, Z., Qiu, C., Ke, M., & Liu, Z. (2011) · Applied Physics Letters · doi:10.1063/1.3562306 · Cited by 102
Gulevich, D. R., Yudin, D., Skryabin, D. V., Iorsh, I. V., & Shelykh, I. A. (2017) · Scientific Reports · doi:10.1038/s41598-017-01646-y · Cited by 87
“σ σ σ u u u u k k k , , 0 (7) k n k n k n k n , , , 2 2 , e e e e”
MethodObservation of Protected Photonic Edge States Induced by Real-Space Topological Lattice Defects
Wang, Q., Xue, H., Zhang, B., & Chong, Y. D. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.243602 · Cited by 105
Self-citationGauge Field Optics with Anisotropic Media
Liu, F., & Li, J. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.103902 · Cited by 100
Arora, S., Bauer, T. A., Barczyk, R., Verhagen, E., & Kuipers, L. (2021) · Light Science & Applications · doi:10.1038/s41377-020-00458-6 · Cited by 99
Photonic amorphous topological insulator
Zhou, P., Liu, G.-G., Ren, X., Yang, Y., Xue, H., Bi, L., Deng, L., Chong, Y. D., & Zhang, B. (2020) · Light Science & Applications · doi:10.1038/s41377-020-00368-7 · Cited by 107
Self-citationRadiative 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 98
“This provides an important insight into the rapidly expanding field of the electromagnetic topological states in photonic crystals [8, 9], coupled cavities [10], waveguide arrays [11–13], and metamaterials [14].”
BackgroundLow-symmetry magnetic photonic crystals for nonreciprocal and unidirectional devices
Khanikaev, A. B., & Steel, M. J. (2009) · Optics Express · doi:10.1364/oe.17.005265 · Cited by 98
Nonlinear one-way edge-mode interactions for frequency mixing in topological photonic crystals
Lan, Z., You, J. W., & Panoiu, N. C. (2020) · Physical review. B./Physical review. B · doi:10.1103/physrevb.101.155422 · Cited by 96
Electric-current-induced unidirectional propagation of surface plasmon-polaritons
Bliokh, K. Y., Rodríguez-Fortuño, F. J., Bekshaev, A. Y., Kivshar, Y. S., & Nori, F. (2018) · Optics Letters · doi:10.1364/ol.43.000963 · Cited by 99
Topological transitions in continuously deformed photonic crystals
Zhu, X., Wang, H., Xu, C., Lai, Y., Jiang, J., & John, S. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.085148 · Cited by 92
Iwamoto, S., Ota, Y., & Arakawa, Y. (2021) · Optical Materials Express · doi:10.1364/ome.415128 · Cited by 99
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 101
“[30] Zheng Wang, YD Chong, John D Joannopoulos, and Marin Soljačić, “Reflection-free one-way edge modes in a gyromagnetic photonic crystal,” Phys.”
BackgroundLight Guiding by Effective Gauge Field for Photons
Lin, Q., & Fan, S. (2014) · Physical Review X · doi:10.1103/physrevx.4.031031 · Cited by 66
“However, it is a nontrivial task to generate an effective gauge field for photons [5–10,18].”
BackgroundResultInfluentialTopological edge states in acoustic Kagome lattices
Ni, X., Gorlach, M. A., Alù, A., & Khanikaev, A. B. (2017) · New Journal of Physics · doi:10.1088/1367-2630/aa6996 · Cited by 92
Liu, S., Lu, W., Lin, Z., & Chui, S. T. (2010) · Applied Physics Letters · doi:10.1063/1.3520141 · Cited by 93
Orazbayev, B., & Fleury, R. (2018) · Nanophotonics · doi:10.1515/nanoph-2019-0137 · Cited by 98
Dirac Spectra and Edge States in Honeycomb Plasmonic Lattices
Han, D., Lai, Y., Zi, J., Zhang, Z.-Q., & Chan, C. T. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.123904 · Cited by 91
Topological metasurface: from passive toward active and beyond
You, J. W., Lan, Z., Ma, Q., Gao, Z. L., Yang, Y., Gao, F., Xiao, M., & Cui, T. J. (2022) · Photonics Research · doi:10.1364/prj.471905 · Cited by 93
Coupled cavity-waveguide based on topological corner state and edge state
Shi, A., Yan, B., Ge, R., et al. (2021) · Optics Letters · doi:10.1364/ol.418570 · Cited by 91
Topologically protected Dirac plasmons in a graphene superlattice
Pan, D., Yu, R., Xu, H., & de Abajo, F. J. G. (2017) · Nature Communications · doi:10.1038/s41467-017-01205-z · Cited by 89
Engineering fragile topology in photonic crystals: Topological quantum chemistry of light
de Paz, M. B., Vergniory, M. G., Bercioux, D., García‐Etxarri, A., & Bradlyn, B. (2019) · Physical Review Research · doi:10.1103/physrevresearch.1.032005 · Cited by 98
Yang, Y., Liu, T., Bi, L., & Deng, L. (2021) · Journal of Alloys and Compounds · doi:10.1016/j.jallcom.2020.158235 · Cited by 94
Lan, Z., You, J. W., Ren, Q., Sha, W. E. I., & Panoiu, N. C. (2021) · Physical Review A · doi:10.1103/physreva.103.l041502 · Cited by 93
Experimental demonstration of topological effects in bianisotropic metamaterials
Slobozhanyuk, A. P., Khanikaev, A. B., Filonov, D., Smirnova, D. A., Miroshnichenko, A. E., & Kivshar, Y. S. (2016) · Scientific Reports · doi:10.1038/srep22270 · Cited by 91
“(4), for ζ = 0 the two quadratic bands meet at δ = k 0, for both spin-up ψ ( ) and spin-down ψ ( ) states, while at ζ ≠ 0 the degeneracy is lifted and a bulk bandgap opens leading to an “insulating” state, which is illustrated in Fig.”
BackgroundGangaraj, 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 95
“Photonic topological insulators are emerging as an important class of material (natural or meta) that allow for the propagation of unidirectional surface waves, immune to backscattering, at the interface with another medium [1]-[5].”
BackgroundDrift-Induced Unidirectional Graphene Plasmons
Morgado, T. A., & Silveirinha, M. G. (2018) · ACS Photonics · doi:10.1021/acsphotonics.8b00987 · Cited by 94
Broadband directional acoustic waveguide with high efficiency
Yuan, B., Liang, B., Tao, J., et al. (2012) · Applied Physics Letters · doi:10.1063/1.4739081 · Cited by 88
Chen, J., Liang, W., & Li, Z. (2019) · Photonics Research · doi:10.1364/prj.7.001075 · Cited by 89
Dirac Dispersion in Two-Dimensional Photonic Crystals
Chan, C. T., Hang, Z. H., & Huang, X. (2012) · Advances in OptoElectronics · doi:10.1155/2012/313984 · Cited by 86
Jin, Y., Wang, R., & Xu, H. (2018) · Nano Letters · doi:10.1021/acs.nanolett.8b03492 · Cited by 85
Unidirectional channel-drop filter by one-way gyromagnetic photonic crystal waveguides
Fu, J., Lian, J., Liu, R., Gan, L., & Li, Z. (2011) · Applied Physics Letters · doi:10.1063/1.3593027 · Cited by 83
Non-Abelian gauge field optics
Chen, Y., Zhang, R.-Y., Xiong, Z., Hang, Z. H., Li, J., Shen, J. Q., & Chan, C. T. (2019) · Nature Communications · doi:10.1038/s41467-019-10974-8 · Cited by 88
Topological phononic states of underwater sound based on coupled ring resonators
He, C., Li, Z., Ni, X., Sun, X., Yu, S., Lu, M., Liu, X.-P., & Chen, Y. (2016) · Applied Physics Letters · doi:10.1063/1.4940403 · Cited by 82
Two-dimensional topological photonic systems
Sun, X., He, C., Liu, X.-P., Lu, M., Zhu, S. N., & Chen, Y. (2017) · Progress in Quantum Electronics · doi:10.1016/j.pquantelec.2017.07.004 · Cited by 77
Interacting quantum fluid in a polariton Chern insulator
Bleu, O., Solnyshkov, D. D., & Malpuech, G. (2016) · Physical Review B · doi:10.1103/physrevb.93.085438 · Cited by 76
Manipulating Negative-Refractive Behavior with a Magnetic Field
Liu, S., Chen, W., Du, J., Lin, Z., Chui, S. T., & Chan, C. T. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.157407 · Cited by 82
Topological Quantum Optics Using Atomlike Emitter Arrays Coupled to Photonic Crystals
Perczel, J., Borregaard, J., Chang, D. E., Yelin, S. F., & Lukin, M. D. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.083603 · Cited by 77
Verba, R. V., Tiberkevich, V. S., & Slavin, A. N. (2019) · Physical Review Applied · doi:10.1103/physrevapplied.12.054061 · Cited by 81
“The existence of the wave nonreciprocity requires a simultaneous breaking of the time-and space-reversal symmetries [1–3], which is difficult to realize in both natural and artificial materials.”
BackgroundExciton–polariton condensates near the Dirac point in a triangular lattice
Kim, N. Y., Kusudo, K., Löffler, A., Höfling, S., Forchel, A., & Yamamoto, Y. (2013) · New Journal of Physics · doi:10.1088/1367-2630/15/3/035032 · Cited by 87
Floquet Chern insulators of light
He, L., Addison, Z., Jin, J., Melé, E. J., Johnson, S. G., & Zhen, B. (2019) · Nature Communications · doi:10.1038/s41467-019-12231-4 · Cited by 90
Efficient Fizeau drag from Dirac electrons in monolayer graphene
Zhao, W., Zhao, S., Li, H., Wang, S., Wang, S., Utama, M. I. B., Kahn, S., Jiang, Y., Xiao, X., Yoo, S., et al. (2021) · RePEc: Research Papers in Economics · Cited by 81
Experimental realization of a reconfigurable electroacoustic topological insulator
Darabi, A., Collet, M., & Leamy, M. J. (2020) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1920549117 · Cited by 83
Coupling between Exciton-Polariton Corner Modes through Edge States
Banerjee, R., Mandal, S., & Liew, T. C. H. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.063901 · Cited by 74
Metadata
- Authors
- Wang, Z., Chong, Y. D., Joannopoulos, J. D., & Soljačić, M.
- Affiliations
- Massachusetts Institute of Technology (US)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2008-01-10
- Volume
- 100
- Issue
- 1
- Pages
- 013905-013905
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2108731428
- Semantic Scholar
- 41ca4f0ff8b496c56fe38c84cbb7ad55532dead4
- Cited by
- 1,444
- References
- 19
- Citations by year
- 2026: 65 · 2025: 109 · 2024: 129 · 2023: 103 · 2022: 116 · 2021: 109 · 2020: 115 · 2019: 98 · 2018: 103 · 2017: 106 · 2016: 79 · 2015: 75 · 2014: 46 · 2013: 54 · 2012: 54
- FWCI
- 16.03
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- DR-NTU (Nanyang Technological University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (0213282)
- Division of Materials Research
- Army Research Office (W911NF-07-D- 0004, W911NF)
- Topics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Topological Materials and Phenomena
- 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
- Keywords
- gyromagnetic photonic crystals, Chern number, quantum Hall edge states, Dirac point, yttrium iron garnet, time-reversal symmetry breaking, TM modes, microwave photonics, photonic waveguides, square lattice photonic crystal
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