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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“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
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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
Each is checked against this paper’s own text: does it say what the citing paper says it does?
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]
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Distortionless Pulse Transmission in Valley Photonic Crystal Slab Waveguide
Shi, F., Cao, Y., Chen, X., Liu, J., Chen, W.-J., Chen, M., & Dong, J. (2021) · Physical Review Applied · doi:10.1103/physrevapplied.15.024002 · Cited by 20
Topological phase transition induced by gain and loss in a photonic Chern insulator
Teo, H. T., Xue, H., & Zhang, B. (2022) · Physical Review A · doi:10.1103/physreva.105.053510 · Cited by 22
Optically induced topological spin-valley Hall effect for exciton polaritons
Banerjee, R., Mandal, S., & Liew, T. C. H. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.103.l201406 · Cited by 20
Nonreciprocal photonic crystal add-drop filter
Tao, K., Xiao, J., & Yin, X. (2014) · Applied Physics Letters · doi:10.1063/1.4902868 · Cited by 20
Characterization of edge states in perturbed honeycomb structures
Drouot, A. (2019) · Pure and Applied Analysis · doi:10.2140/paa.2019.1.385 · Cited by 18
Magnetically controllable multimode interference in topological photonic crystals
Tang, W., Wang, M., Ma, S., Chan, C. T., & Zhang, S. (2024) · Light Science & Applications · doi:10.1038/s41377-024-01433-1 · Cited by 24
Broadband delay lines and nonreciprocal resonances in unidirectional waveguides
Mann, S. A., Sounas, D. L., & Alù, A. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.100.020303 · Cited by 20
Symmetry-controlled edge states in the type-II phase of Dirac photonic lattices
Pyrialakos, G. G., Schmitt, N., Nye, N. S., Heinrich, M., Kantartzis, N. V., Szameit, A., & Christodoulides, D. N. (2020) · Nature Communications · doi:10.1038/s41467-020-15952-z · Cited by 20
Tamm-plasmon-polariton biosensor based on one-dimensional topological photonic crystal
Su, M., Li, K., Wang, C., Wu, L., Yang, S., Lin, Q., Li, Y., Tang, L., & Zhou, R. (2023) · Results in Physics · doi:10.1016/j.rinp.2023.106454 · Cited by 20
One-way cloak based on nonreciprocal photonic crystal
He, C., Zhang, X.-L., Feng, L., et al. (2011) · Applied Physics Letters · doi:10.1063/1.3648112 · Cited by 20
Manipulating Unidirectional Edge States Via Magnetic Plasmonic Gradient Metasurfaces
Chen, H., Lu, W., Li, J., Yu, J., Lin, Z., Chan, C. T., & Liu, S. (2016) · Plasmonics · doi:10.1007/s11468-016-0361-8 · Cited by 19
“It is noted that the situation here is quite different from the previous works where UESs are excited either at the interface between the PC and magnetic PC (MPC) [38, 51] or at the zigzag edge of a honeycomb lattice [52, 53].”
BackgroundPhotonic realization of topologically protected bound states in domain-wall waveguide arrays
Lee-Thorp, J., Vukićević, I., Xu, X., Yang, J., Fefferman, C., Wong, C. W., & Weinstein, M. I. (2016) · Physical Review A · doi:10.1103/physreva.93.033822 · Cited by 20
Tsang, L., Liao, T.-H., & Tan, S. (2021) · Electromagnetic waves · doi:10.2528/pier21081706 · Cited by 19
Quasi-Relativistic Doppler Effect and Non-Reciprocal Plasmons in GraphenePreprint
Borgnia, D. S., Phan, T. V., & Levitov, L. S. (2015) · arXiv (Cornell University) · doi:10.48550/arxiv.1512.09044 · Cited by 21
Reconfigurable Photonic Valley Filter in Hybrid Topological Heterostructures
Zhang, X., Li, S., Lan, Z., Gao, W., & Chen, M. L. N. (2024) · Laser & Photonics Review · doi:10.1002/lpor.202400797 · Cited by 20
Edge states of mechanical diamond and its topological origin
Takahashi, Y., Kariyado, T., & Hatsugai, Y. (2017) · New Journal of Physics · doi:10.1088/1367-2630/aa5edb · Cited by 19
Han, J., Liang, F., Zhao, Y., Liu, J., Wang, S., Wang, X., Zhao, D., & Wang, B. (2024) · Physical Review Applied · doi:10.1103/physrevapplied.21.014046 · Cited by 23
Section Chern number for a three-dimensional photonic crystal and the bulk-edge correspondence
Oono, S., Kariyado, T., & Hatsugai, Y. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.94.125125 · Cited by 19
Complete trapping of electromagnetic radiation using surface magnetoplasmons
Shen, L., Wang, Z., Deng, X., et al. (2015) · Optics Letters · doi:10.1364/ol.40.001853 · Cited by 19
Self-citationPhotonic Topological Spin Pump in Synthetic Frequency Dimensions
Suh, J., Kim, G., Park, H., Fan, S., Park, N., & Yu, S. (2024) · Physical Review Letters · doi:10.1103/physrevlett.132.033803 · Cited by 19
Spin-Momentum Properties in the Paraxial Optical Systems
Shi, P., Li, H., Du, L., & Yuan, X. (2022) · ACS Photonics · doi:10.1021/acsphotonics.2c01535 · Cited by 18
Sui, W., Zhang, Y., Zhang, Z., Zhang, H., Shi, Q., Lv, Z., & Yang, B. (2022) · Optics Communications · doi:10.1016/j.optcom.2022.128972 · Cited by 19
Slow wave and truly rainbow trapping in a one-way terahertz waveguide
Xu, J., He, P., Feng, D., et al. (2021) · Optics Express · doi:10.1364/oe.422274 · Cited by 18
Magnetic corner states in a two-dimensional gyromagnetic photonic crystal
Zhou, Y., Lai, H., Xie, J.-L., Sun, X., He, C., & Chen, Y. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.107.014105 · Cited by 19
Qi, L., Xing, Y., Cao, J., Jiang, X., An, C., Zhu, A., Zhang, S., & Wang, H. (2018) · Science China Physics Mechanics and Astronomy · doi:10.1007/s11433-018-9212-4 · Cited by 18
Chen, X., Zhao, D., Zhu, X.-S., Shi, F., Liu, H., Lu, J.-C., Chen, M., & Dong, J. (2018) · Physical Review A · doi:10.1103/physreva.97.013831 · Cited by 18
“, Zak phase [11-14], Chern number [15-18], spin Chern number [19-22], valley Chern number [23-26], edge states are found due to the topological protection [27-29].”
BackgroundDiffractive dipolar coupling in non-Bravais plasmonic lattices
Becerril, D., Rueda, O. V., Piccotti, D., Sandoval, E. M., Cesca, T., Mattei, G., Noguez, C., & Pirruccio, G. (2020) · Nanoscale Advances · doi:10.1039/d0na00095g · Cited by 18
Topological transitions and Anderson localization of light in disordered atomic arrays
Skipetrov, S. E., & Wulles, P. (2022) · Physical Review A · doi:10.1103/physreva.105.043514 · Cited by 21
Anisotropic quantum spin Hall effect, spin-orbital textures, and the Mott transition
Liu, T., Douçot, B., & Hur, K. L. (2013) · Physical Review B · doi:10.1103/physrevb.88.245119 · Cited by 20
Feng, S., & Wang, Y. (2013) · Optical Materials · doi:10.1016/j.optmat.2013.05.040 · Cited by 18
Ultra-strong magnon-photon coupling induced in the photonic crystals with an YGaGeIG defect
Zhang, C., Shi, Y., Zhang, W., et al. (2019) · Applied Physics Letters · doi:10.1063/1.5089523 · Cited by 18
On the role of symmetries in the theory of photonic crystals
Nittis, G. D., & Lein, M. (2014) · Annals of Physics · doi:10.1016/j.aop.2014.07.032 · Cited by 19
Weyl points of mechanical diamond
Takahashi, Y., Kariyado, T., & Hatsugai, Y. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.99.024102 · Cited by 20
Fragile topologically protected perfect reflection for acoustic waves
Ji, C., Zhang, Y., Liao, Y., et al. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.013131 · Cited by 18
Topological Properties of a Two-Dimensional Photonic Square Lattice without C4 and Mx(y) Symmetries
Xiong, L., Liu, Y., Zhang, Y., Zheng, Y., & Jiang, X. (2022) · ACS Photonics · doi:10.1021/acsphotonics.2c00571 · Cited by 18
Polarization and Weak Topology in Chern Insulators
Vaidya, S., Rechtsman, M. C., & Benalcazar, W. A. (2024) · Physical Review Letters · doi:10.1103/physrevlett.132.116602 · Cited by 19
LAYER MULTIPLE SCATTERING CALCULATIONS FOR NONRECIPROCAL PHOTONIC STRUCTURES
Christofi, A., & Stéfanou, N. (2013) · International Journal of Modern Physics B · doi:10.1142/s0217979214410124 · Cited by 17
Yannopapas, V. (2013) · International Journal of Modern Physics B · doi:10.1142/s0217979214410069 · Cited by 17
Realization of broadband truly rainbow trapping in gradient-index metamaterials
Xu, J., Xiao, S., He, P., et al. (2022) · Optics Express · doi:10.1364/oe.447874 · Cited by 17
“Engineering the band diagram of photonic crystals (PhCs) by introducing disorders is an efficient way to build one-way waveguide [2, 8, 9], and the cells of PhCs always consist of magneto-optical (MO) materials under a static magnetic field which is exploited to break the time-reversal symmetry of the system.”
BackgroundFeng, S., Ren, C., Wang, W., et al. (2012) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/97/64001 · Cited by 17
Towards topological protection based millimeter wave devices
Gentili, G. G., Pelosi, G., Piccioli, F. S., & Selleri, S. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.100.125108 · Cited by 17
Dubček, T., Lelas, K., Jukić, D., Pezer, R., Soljačić, M., & Buljan, H. (2015) · New Journal of Physics · doi:10.1088/1367-2630/17/12/125002 · Cited by 17
Self-citationObservation of Copropagating Chiral Zero Modes in Magnetic Photonic Crystals
Li, Z., Ma, S., Li, S., You, O., Liu, Y., Yang, Q., Xiang, Y., Zhou, P., & Zhang, S. (2025) · Physical Review Letters · doi:10.1103/physrevlett.134.033802 · Cited by 19
“Unidirec-tional propagation of electromagnetic waves (EM waves) has gained significant attention due to its potential applications in optical isolators, circulators, switches, and radio frequency communications[1, 20, 43–48].”
Tan, D. T. H. (2021) · Advanced Photonics Research · doi:10.1002/adpr.202100010 · Cited by 17
Synthetic gauge fields for light beams in optical resonators
Longhi, S. (2015) · Optics Letters · doi:10.1364/ol.40.002941 · Cited by 16
Effect of a magnetic field on a two-dimensional metallic photonic crystal
Hatef, A., & Singh, M. R. (2012) · Physical Review A · doi:10.1103/physreva.86.043839 · Cited by 17
Lattice dynamics and topological surface phonon states in cuprous oxide Cu 2 O
Wang, Z., Zhou, W., Rudenko, A. N., & Yuan, S. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.103.195137 · Cited by 18
Self-citationHighly confined topological edge states from two simple triangular lattices with reversed materials
Fang, Y., & Wang, Z. (2020) · Optics Communications · doi:10.1016/j.optcom.2020.126451 · Cited by 17
Self-citationAcoustic one-way frequency up-converter with high transmission efficiency
Kan, W., Liang, B., Zhu, X., et al. (2013) · Journal of Applied Physics · doi:10.1063/1.4823858 · Cited by 16
Non-reciprocity and topology in optics: one-way road for light via surface magnon polariton
Ochiai, T. (2015) · Science and Technology of Advanced Materials · doi:10.1088/1468-6996/16/1/014401 · Cited by 16
Jia, S., Huang, R., Hu, J., Jiang, Y., Huang, H., Xie, B., Lu, M., Zhan, P., Chen, Y., & Wang, Z. (2023) · Laser & Photonics Review · doi:10.1002/lpor.202200949 · Cited by 16
Self-citationExploiting Oriented Field Projectors to Open Topological Gaps in Plasmonic Nanoparticle Arrays
Buendía, Á., Sánchez-Gil, J. A., & Giannini, V. (2023) · ACS Photonics · doi:10.1021/acsphotonics.2c01526 · Cited by 16
Fractality-induced topological phase squeezing and devil's staircase
Li, J., Sun, Y., Mo, Q., Ruan, Z., & Yang, Z. (2023) · Physical Review Research · doi:10.1103/physrevresearch.5.023189 · Cited by 16
Li, Z., Wu, R., Li, Q., et al. (2015) · Optics Express · doi:10.1364/oe.23.009658 · Cited by 16
Topological valley crystals in a photonic Su–Schrieffer–Heeger (SSH) variant
Yu, Z., Lin, H. L., Zhou, R., Li, Z., Mao, Z., Peng, K., Liu, Y., & Shi, X. (2022) · Journal of Applied Physics · doi:10.1063/5.0107211 · Cited by 16
Nittis, G. D., & Lein, M. (2018) · Annals of Physics · doi:10.1016/j.aop.2018.02.019 · Cited by 16
One-Way Waveguides Connected to One-Way Loads
Luukkonen, O., Chettiar, U. K., & Engheta, N. (2012) · IEEE Antennas and Wireless Propagation Letters · doi:10.1109/lawp.2012.2228151 · Cited by 16
Coupled Topological Surface Modes in Gyrotropic Structures: Green's Function Analysis
Gangaraj, S. A. H., & Monticone, F. (2018) · IEEE Antennas and Wireless Propagation Letters · doi:10.1109/lawp.2018.2859796 · Cited by 18
Honeycomb lattice potentials and Dirac points
Fefferman, C., & Weinstein, M. I. (2012) · Journal of the American Mathematical Society · doi:10.1090/s0894-0347-2012-00745-0 · Cited by 23
“Refractive index profiles with honeycomb lattice symmetry and their applications are also considered in the context of electromagnetics [7, 22].”
BackgroundOPTICAL RESONATOR ANALOG OF A PHOTONIC TOPOLOGICAL INSULATOR: A FINITE-DIFFERENCE TIME-DOMAIN STUDY
Liang, G., & Chong, Y. D. (2013) · International Journal of Modern Physics B · doi:10.1142/s0217979214410070 · Cited by 16
Self-citationOchiai, T. (2010) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/22/22/225502 · Cited by 16
Transformation of unidirectional modes and split of channel through a cross waveguide
Fang, Y.-T., Ni, Z.-Y., Xu, Q.-S., et al. (2015) · Optics Communications · doi:10.1016/j.optcom.2015.12.052 · Cited by 16
Robust and Tunable One-Way Magnetic Surface Plasmon Waveguide: An Experimental Demonstration
Shen, J. Q., Liu, S., Zhang, H., et al. (2011) · Plasmonics · doi:10.1007/s11468-011-9305-5 · Cited by 16
Hofstadter butterfly evolution in the space of two-dimensional Bravais lattices
Yılmaz, F., & Oktel, M. Ö. (2017) · Physical Review A · doi:10.1103/physreva.95.063628 · Cited by 16
“Considering the topological edge modes, the first theoretical [26] prediction of the chiral edge states in TE waveguides has led to experimental proposals [27] and subsequent observation on solid-state photonic crystals [28].”
BackgroundMagneto-optical enhancement in magnetophotonic crystals based on cholesteric liquid crystals
Da, H., Huang, Z., & Li, Z. (2010) · Journal of Applied Physics · doi:10.1063/1.3481444 · Cited by 15
Nonreciprocal optical diffraction by a single layer of gyromagnetic cylinders
Guo, T., Li, T., Yang, M., et al. (2014) · Optics Express · doi:10.1364/oe.22.000537 · Cited by 15
Topological materials for elastic wave in continuum
Huang, X., Lu, J., Deng, W., & Liu, Z. (2023) · Acta Mechanica Sinica · doi:10.1007/s10409-023-23041-x · Cited by 17
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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