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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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13 Sources not found · 12 Own interpretation · 10 Own result · 6 No basis given · 1 Own method
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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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“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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“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
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“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
plain- Asserted: passes — The authors put it forward as true.
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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
plain- Asserted: passes — The authors put it forward as true.
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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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“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
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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
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“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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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
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It 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
plaindirect- Asserted: passes — The authors put it forward as true.
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It 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
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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
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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).
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
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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
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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
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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.
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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.
plain- Asserted: passes — The authors put it forward as true.
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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
plaindirect- Asserted: passes — The authors put it forward as true.
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It 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.
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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
plain- Asserted: passes — The authors put it forward as true.
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Probably 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 .”
Claims other papers make about this one
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The cited source doesn’t support the claim as written.
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
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Constructing helical edge states with two-dimensional C 6 and C 6 -like symmetric photonic crystals
Wang, X., Sui, W., Zhang, Y., Zhang, Z., Yao, Y., Meng, X., Zhang, H., Wang, Y., & Yang, B. (2024) · Physical review. B./Physical review. B · doi:10.1103/physrevb.109.195305 · Cited by 3
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“These topologically protected unidirectional edge states are established [23, 24].”
Jazayeri, A. M. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.107.144302 · Cited by 3
“structures made of materials with non-reciprocal EM response [4].”
BackgroundMultiple One-Way Edge States From Reciprocal Continuous Media
Xu, J., Liu, Y., Chan, K. S., & Li, J. (2019) · Physical Review Applied · doi:10.1103/physrevapplied.12.064014 · Cited by 3
Goncalves, M. R. (2021) · Frontiers in Nanotechnology · doi:10.3389/fnano.2021.638442 · Cited by 4
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Fang, Y., & Chen, Z. (2017) · Photonic Network Communications · doi:10.1007/s11107-017-0733-9 · Cited by 3
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Zhang, Q., & Li, X. (2018) · Applied Sciences · doi:10.3390/app8101858 · Cited by 3
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BackgroundDefect-localized bound states in the continuum in topological photonic alloys
Zhang, Z., Li, H., Liu, Z., & Li, Z. (2025) · Journal of Applied Physics · doi:10.1063/5.0301638 · Cited by 4
Strain-tunable synthetic gauge fields in topological photonic graphenePreprint
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Guo, L.-X., Wan, L.-L., Si, L.-G., & Wu, Y. (2023) · Physical Review A · doi:10.1103/physreva.108.013512 · Cited by 4
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Yannopapas, V. (2015) · EPJ Quantum Technology · doi:10.1140/epjqt/s40507-015-0019-z · Cited by 3
One-way valley-locked waveguide with a large channel achieved by all-dielectric photonic crystals
Li, L., Zhang, X., Wang, C., Liu, J., Fan, L., Liang, C., Liang, L., Li, F., Wu, Q., & Poo, Y. (2024) · Optics Express · doi:10.1364/oe.525228 · Cited by 3
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Zhang, H., Li, R., Bao, Y., et al. (2023) · Scientific Reports · doi:10.1038/s41598-023-28097-y · Cited by 3
Zhu, J. F., Zheng, L., Wang, K., et al. (2025) · European Journal of Mechanics - A/Solids · doi:10.1016/j.euromechsol.2025.105738 · Cited by 3
Analog of giant magnetoimpedance in magnetized ε-near-zero plasma
Shen, L., Lin, X. D., Zheng, B., et al. (2019) · Optics Letters · doi:10.1364/ol.44.000991 · Cited by 3
Xi, X., Ye, K.-P., & Wu, R. (2020) · Acta Physica Sinica · doi:10.7498/aps.69.20200198 · Cited by 3
Tunable all-optical microwave logic gates based on nonreciprocal topologically protected edge modes
Xu, J., He, P., Feng, D., Luo, Y., Fan, S., Yong, K., & Tsakmakidis, K. L. (2023) · Optics Express · doi:10.1364/oe.502808 · Cited by 3
“[36] Zheng Wang, YD Chong, John D Joannopoulos, and Marin Soljačić.”
BackgroundUnidirectional edge modes launched by surface fluctuation in magnetic metamaterials
Chen, H., Luo, Y., Liang, C., et al. (2018) · Journal of Optics · doi:10.1088/2040-8986/aaa701 · Cited by 3
Nonreciprocal guided modes in photonic crystals of magnetic garnet particles with a planar defect
Christofi, A., & Stéfanou, N. (2014) · Journal of the Optical Society of America B · doi:10.1364/josab.31.002104 · Cited by 3
Dual-polarization valley-like transport in dielectric photonic crystals
Shao, H.-X., Sang, T., Yang, G., et al. (2024) · Optics Communications · doi:10.1016/j.optcom.2024.130807 · Cited by 3
One-Way Propagation and Complete Trapping of Terahertz Radiations in All-Dielectric Systems
You, Y., Deng, X., Shen, L., et al. (2016) · Plasmonics · doi:10.1007/s11468-016-0277-3 · Cited by 3
Topology-optimized phoxonic crystals with simultaneous acoustic and photonic helical edge states
Chen, Y., An, S., Lan, Z., An, L., & Su, Z. (2024) · Physical Review Research · doi:10.1103/physrevresearch.6.043166 · Cited by 3
Mode-order conversion in a Mach–Zehnder interferometer based on Chern insulators
Fan, Z., Zhou, T., Zhan, X., & Zang, X. (2023) · Optics Letters · doi:10.1364/ol.509503 · Cited by 3
Photonic emulation of two-dimensional materials with antiferromagnetic order
Gladstone, R. G., Jung, M., Han, Y., & Shvets, G. B. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.100.245417 · Cited by 3
Deng, Z., Zhang, X., Gao, D., Lu, M., & Zhang, X. (2022) · Physical Review Research · doi:10.1103/physrevresearch.4.033084 · Cited by 5
Tang, Z., Liu, X., Lei, D., et al. (2016) · Progress In Electromagnetics Research M · doi:10.2528/pierm15110903 · Cited by 2
Study on photonic angular momentum states in coaxial magneto-optical waveguides
Yang, M., Wu, L., Guo, T., et al. (2014) · Journal of Applied Physics · doi:10.1063/1.4898317 · Cited by 2
Pseudospin-dependent acoustic topological edge and corner states in silica aerogel metamaterials
Liu, C., Xiong, W. H., Liu, W., Wang, Y., Zhang, Z., Cheng, Y., & Liu, X. (2024) · The Journal of the Acoustical Society of America · doi:10.1121/10.0026118 · Cited by 2
Topology reconstruction for asymmetric systems by homomorphic mapping or perturbation approximation
Li, Y., Chen, J. G., Qi, X., Xiong, L., Wang, X., Liu, Y., Guan, F., Shi, L., & Jiang, X. (2024) · Physical review. B./Physical review. B · doi:10.1103/physrevb.110.104106 · Cited by 2
Dispersion characteristics of nonreciprocal gyroelectric silicon-on-insulator rectangular waveguide
Wang, H., Wang, Z., Cui, C., et al. (2019) · Acta Physica Sinica · doi:10.7498/aps.68.20190109 · Cited by 2
Self-citationRealization of one-way electromagnetic modes at the interface between two dissimilar metals
Dixit, M., & Stroud, D. (2014) · Applied Physics Letters · doi:10.1063/1.4865375 · Cited by 2
Generation of triple-entanglement in second-order optical topological kagome structure
Liao, M.-J., Wei, M.-S., Lin, Z., Zhu, C., Xu, J., & Yang, Y. (2023) · Journal of the Optical Society of America B · doi:10.1364/josab.483916 · Cited by 2
Coexisting valley and chiral edge states in topological photonic crystals
Liu, J., Li, L., Xu, M., & Poo, Y. (2025) · Optics Express · doi:10.1364/oe.551936 · Cited by 3
Faraday rotation, band splitting, and one-way propagation of plasmon waves on a nanoparticle chain
Pike, N. A., & Stroud, D. (2016) · Journal of Applied Physics · doi:10.1063/1.4943647 · Cited by 2
Weyl Point and Nontrivial Surface States in a Helical Topological Material
Li, M., Liu, Y., Du, L., Zhou, X. G., Song, K., Ji, R., & Zhao, X. (2022) · Frontiers in Materials · doi:10.3389/fmats.2021.805862 · Cited by 2
“It is demonstrated that topological photonics can achieve many interesting phenomena, such as quantumHall effect (Raghu and Haldane, 2008; Wang et al., 2008;Wang et al., 2009; Ye et al., 2019), quantum anomalous Hall effect (Fang andWang, 2019; Mittal et al., 2019), quantum spin Hall effect…”
BackgroundYannopapas, V. (2013) · International Journal of Modern Physics B · doi:10.1142/s0217979214410057 · Cited by 2
Li, S., Sun, D., Xu, C., Cao, D., Wang, C., Kong, L., Ren, C., Feng, S., & Kang, F. (2025) · Optics Communications · doi:10.1016/j.optcom.2025.132272 · Cited by 3
Subwavelength topological interface modes in a multilayered vibroacoustic metamaterial
Gzal, M., Tempelman, J. R., Matlack, K. H., et al. (2024) · Frontiers in Acoustics · doi:10.3389/facou.2024.1489401 · Cited by 2
“…modes has been extended to various classical areas of physics, including electromagnetic waves in photonic crystals (Haldane and Raghu, 2008; Wang et al., 2008; Wang et al., 2009; Rechtsman et al., 2013; Lu et al., 2014; Wang et al., 2016; Harari et al., 2018; Segev and Bandres, 2021), as…”
Feng, S. (2015) · Solid State Communications · doi:10.1016/j.ssc.2015.06.001 · Cited by 2
Nagayama, T. (2023) · Asia-Pacific Microwave Conference (APMC) · doi:10.1109/apmc57107.2023.10439689 · Cited by 2
“In addition, topological waveguides have characteristics that reflected waves from waveguide bends or junctions are not generated, and it can be expected for applying those to waveguides having bends of various angles [2]–[6], splitters [6]–[8], and the like [9].”
BackgroundPrecisely tunable and predictable index-near-zero modes across continuous and broad bands
He, P., Shen, Y., Xiao, S., Hong, L., You, Y., Tsakmakidis, K. L., Luo, Y., & Xu, J. (2024) · Applied Physics Letters · doi:10.1063/5.0209239 · Cited by 2
Pan, 胡. H., Lu, 孙. S., Hongwei, 王. W., Yong, 张. Z., & Yikai, 苏. S. (2024) · Acta Optica Sinica · doi:10.3788/aos240854 · Cited by 2
Temperature-stabilized one-way electromagnetic modes in a magneto-optic unidirectional waveguide
Zang, X., & Jiang, C. (2010) · Applied Optics · doi:10.1364/ao.49.006111 · Cited by 2
Nagayama, T. (2025) · European Microwave Conference (EuMC) · doi:10.23919/eumc65286.2025.11235241 · Cited by 2
Topological protection of highly entangled non-Gaussian two-photon states
Tschernig, K., Franco, R. L., Ivanov, M., Bandres, M. A., Busch, K., & Pérez-Leija, A. (2021) · Materials for Quantum Technology · doi:10.1088/2633-4356/ac11c3 · Cited by 2
Self-induced nonreciprocity from asymmetric photonic topological insulators
Kılıç, S. G., Kılıç, U., Schubert, M. M., Schubert, E., & Argyropoulos, C. (2025) · Physical Review Applied · doi:10.1103/dnp4-z1xk · Cited by 3
Topological Photonic Media and the Possibility of Toroidal Electromagnetic Wavepackets
Onoda, M. (2019) · Applied Sciences · doi:10.3390/app9071468 · Cited by 2
Reconfigurable valley topological QED platform for qubit operation
Dong, J., Zou, B., & Zhang, Y. (2023) · Physical Review A · doi:10.1103/physreva.108.023513 · Cited by 2
Multifold bulk-boundary correspondence in a gyromagnetic photonic crystal
Peng, M., Wei, Q., He, A., Huang, Z., Deng, W., Liu, Z., & Chen, G. (2025) · Physical review. B./Physical review. B · doi:10.1103/r19c-71t9 · Cited by 2
Guinness, R. L. M., & Eastham, P. R. (2018) · Physical Review A · doi:10.1103/physreva.98.023826 · Cited by 2
High Chern Numbers in Photonic Crystals
Rechtsman, M. C. (2015) · Physics · doi:10.1103/physics.8.122 · Cited by 2
Realization of Topological Phase in a Chiral Honeycomb Lattice Model
Yonezawa, G., Fukuda, J., & Kariyado, T. (2025) · Journal of the Physical Society of Japan · doi:10.7566/jpsj.94.024702 · Cited by 2
“QAHE has also been explored to support topological states in metamaterial settings, such as Floquet systems [19–21] or photonic crystals [22, 23].”
Circuit realization of quadrupole topological insulator coexisting edge and corner states
Yan, X., Pei, Q.-S., Qi, L., Ling, Y.-X., Han, Y., & He, A. (2026) · Applied Physics Letters · doi:10.1063/5.0310702 · Cited by 2
Topologically protected photonic modes in composite quantum Hall/quantum spin Hall waveguides
Ma, S., Xiao, B., Yu, Y., Lai, K., Shvets, G. B., & Anlage, S. M. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.100.085118 · Cited by 17
Photonic realization of non-Hermitian skin effect using topological ring cavities
Zhang, S., & Hang, Z. H. (2025) · Reviews in Physics · doi:10.1016/j.revip.2025.100102 · Cited by 3
Tian, Y., Zhou, R., Liu, Z., Liu, Y., Lin, H. L., & Zhou, B. (2023) · IET Optoelectronics · doi:10.1049/ote2.12106 · Cited by 3
Hai-Xiao, W., Xu, L., & Jiang, J. (2017) · Acta Physica Sinica · doi:10.7498/aps.66.220302 · Cited by 2
Valley-Hall slow-light waveguide states with dual-band in all-dielectric valley photonic crystals
He, L., & Yao, J. (2024) · Results in Physics · doi:10.1016/j.rinp.2024.108092 · Cited by 4
Satyaraj, D., Mubarakali, A., Natraj, N. A., & Gopinath, S. (2024) · ECS Journal of Solid State Science and Technology · doi:10.1149/2162-8777/ad537b · Cited by 2
Topological Photonics of Generalized and Nonlinear Eigenvalue Equations
Isobe, T., Yoshida, T., & Hatsugai, Y. (2025) · Journal of the Physical Society of Japan · doi:10.7566/jpsj.94.101002 · Cited by 2
Metamaterial topological insulator in visible light band
Chen, H., & Zhao, X. (2020) · Physica B Condensed Matter · doi:10.1016/j.physb.2020.412334 · Cited by 2
Ren, J., Ding, W., Wang, S., & Tang, S. (2025) · Micromachines · doi:10.3390/mi16060686 · Cited by 3
Qin, Q., Chen, J., Lin, H. Q., Peng, C., & Li, Z. (2022) · Nanomaterials · doi:10.3390/nano12173009 · Cited by 2
“Contextually, a natural question appears: can PCTIs offer an effective solution to avoid mode-mixing problems and impedance-mismatching issues at terminates, intersections and discontinuities in designing PhCs-based circuits and devices, besides the one-way transport property? Besides, the vast majority of well-studie…”
BackgroundSymmetry-controlled edge states in graphene-like topological sonic crystal*
Yang, Z.-Z., Chen, J.-H., Peng, Y.-Y., & Zou, X. (2020) · Chinese Physics B · doi:10.1088/1674-1056/ab9c0e · Cited by 2
Dual-band topological Bott insulators in Ammann–Beenker-tiling square photonic quasicrystals
Zhang, Y., Lan, Z., Chen, W., & Li, J. (2025) · Journal of Physics Photonics · doi:10.1088/2515-7647/ada655 · Cited by 2
“In systems with time-reversal symmetry, it is known that the topological invariant for each band is constantly zero [ 57].”
Ding, J., Li, M., Khanikaev, A. B., & Ni, X. (2024) · Optical Materials Express · doi:10.1364/ome.529108 · Cited by 2
Diverse and controllable excitations of coupled modes of unidirectional air waveguides
Xiang, K., & Fang, Y. (2016) · Optical Engineering · doi:10.1117/1.oe.55.9.097105 · Cited by 2
Plasmonic band structures and its applications
Liu, L., Han, D., & Shi, L. (2020) · Acta Physica Sinica · doi:10.7498/aps.69.20200193 · Cited by 2
Toyomitsu, S., Nagayama, T., Fukushima, S., & Watanabe, T. (2024) · Asia-Pacific Microwave Conference (APMC) · doi:10.1109/apmc60911.2024.10867690 · Cited by 4
Scalable and programmable topological transitions in plasmonic Moiré superlattices
Tian, B., Zhang, X., Wu, R., Zhang, Y., Du, L., & Yuan, X. (2026) · Nature Communications · doi:10.1038/s41467-026-68635-6 · Cited by 3
Liu, Y., & Jiang, C. (2020) · International Journal of Modern Physics B · doi:10.1142/s0217979220500861 · Cited by 2
Exciting topological edge states by using plane waves in valley-Hall photonic crystal slabs
Kim, K., & Om, K. (2024) · Optics Communications · doi:10.1016/j.optcom.2024.131142 · Cited by 2
Jianfei, 李. L., Chengxi, 杨. Y., Ziyi, 刘. L., Chen, 陈. C., Jingfeng, 姚. Y., Zhongxiang, 周. Z., Xiaohong, 吴. W., & Chengxun, 袁. Y. (2025) · Laser & Optoelectronics Progress · doi:10.3788/lop250929 · Cited by 2
Broadband asymmetric transmission of THz radiation through double metallic gratings
Stolarek, M., Yavorskiy, D., Kotyński, R., et al. (2013) · International Conference on Transparent Optical Networks · doi:10.1109/icton.2013.6603070 · Cited by 2
“978-1-4799-0683-3/13/$31.00 ©2013 IEEE 1”
InfluentialFano Resonances in Topological Photonic Systems
Ni, X., Gorlach, M. A., Smirnova, D. A., Korobkin, D., & Khanikaev, A. B. (2018) · Springer series in optical sciences/SPringer series in optical sciences · doi:10.1007/978-3-319-99731-5_18 · Cited by 1
Coexistence of Dirac points and nodal chains in photonic metacrystal
Yang, J., Long, S., Wang, H., Yu, Z., Yang, B., Guo, Q., Xiang, Y., Xia, L., & Zhang, S. (2023) · Optics Express · doi:10.1364/oe.489873 · Cited by 2
A new kind of unidirectional waveguides
Tao, K., Qiu, G., Chen, H., et al. (2011) · International Conference on Mechanic Automation and Control Engineering · doi:10.1109/mace.2011.5987822 · Cited by 2
Controllable single-photon scattering via coupling of a driven Λ system with a topological waveguide
Yadav, G., Mahana, M. M., & Dey, T. N. (2025) · Physical Review A · doi:10.1103/dkbz-thfh · Cited by 2
Vortex-based ferromagnetic resonance isolator in 2D photonic crystal waveguide
Dmitriev, V. A., Zimmer, D., & Portela, G. (2017) · SBMO/IEEE MTT-S International Microwave and Optoelectronics Conference (IMOC) · doi:10.1109/imoc.2017.8121044 · Cited by 2
“In microwave and optical technology, isolators are widely used for protection of signal sources against harmful parasitic reflections arising from unmatched loads [1], [2], enhancing stability of a given circuit.”
BackgroundChiral Domain-Wall States in a Quadratic Hamiltonian
Ochiai, T. (2013) · Journal of the Physical Society of Japan · doi:10.7566/jpsj.82.124005 · Cited by 2
Reconfigurable topological phases in photoexcited graphene nanoribbon arrays
Zhang, W., Wu, T., & Zhang, X. (2018) · Journal of Optics · doi:10.1088/2040-8986/aada5b · Cited by 2
Realization of Chiral Whispering Gallery Mode Cavities Enabled by Photonic Chern Insulators
Mo, H., Gao, Z., Chen, X., & Dong, J. (2025) · Laser & Photonics Review · doi:10.1002/lpor.202401450 · Cited by 3
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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