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.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
0 of 14 cited sources checked · 0 supported · 0 flagged
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
“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
Load-bearingStrength:plain· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passes- Also stated in: § Abstract · plain
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
“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
Load-bearingStrength:plain· not yet calibratedTests✓ 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
“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
Load-bearingStrength:plain· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesA 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 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
Load-bearingStrength:plain· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passes- Also stated in: § Abstract · plain
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
“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
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passes- Also stated in: § Abstract · plain
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 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.
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: passes- Not matched
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
“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
Strength:boosted· not yet calibratedCausal:direct· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes? Load-bearing: unclear✓ Based: passes
- 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.
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
“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).
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesProbably not a substantial claim.
- Not matched
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
“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.
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
“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.
- Not matched
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.
- Not matched
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 .”
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]
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 801–900 of 1,444
Interaction Between Two One-Way Waveguides
Liu, K., Shen, L., Zheng, X., et al. (2012) · IEEE Journal of Quantum Electronics · doi:10.1109/jqe.2012.2202215 · Cited by 8
Discrete approximation of topologically protected modes in magneto-optical media
Ablowitz, M. J., & Cole, J. T. (2020) · Physical Review A · doi:10.1103/physreva.101.023811 · Cited by 9
Topological photonic quasicrystal alloy
Wang, Z., Xi, X., & Gao, Z. L. (2024) · Applied Physics Letters · doi:10.1063/5.0232244 · Cited by 8
Self-citationPrevalence of Two-Dimensional Photonic Topology
Ghorashi, A., Vaidya, S., Rechtsman, M. C., Benalcazar, W. A., Marin Soljacic, A., & Christensen, T. (2024) · Physical Review Letters · doi:10.1103/physrevlett.133.056602 · Cited by 8
“μxy = −μyx, breaks T for the TM polarized bands [7, 65].”
Self-citationBu, X., Huang, H., & Chen, J. (2024) · Physica Scripta · doi:10.1088/1402-4896/ad505b · Cited by 7
Zhang, Y., Xiong, L., Zhang, M., & Jiang, X. (2021) · Photonics Research · doi:10.1364/prj.405230 · Cited by 7
Edge States in 2D Lattices with Hopping Anisotropy and Chebyshev Polynomials
Eliashvili, M., Japaridze, G. I., Tsitsishvili, G., et al. (2014) · Journal of the Physical Society of Japan · doi:10.7566/jpsj.83.044706 · Cited by 7
Electric polarization and its quantization in one-dimensional non-Hermitian chains
Hu, J., Perroni, C. A., Filippis, G. D., Zhuang, S., Marrucci, L., & Cardano, F. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.107.l121101 · Cited by 8
Design and analysis of 2D one-way splitter waveguide based on topological photonics
Mehdipoura, M., Moeini, M., Ahmadi, V., & Poursalehi, R. (2024) · Scientific Reports · doi:10.1038/s41598-024-62816-3 · Cited by 7
“The field of topological photonics has been attracting research attention since edge state modes allow electro-magnetic fields to propagate one-way without backscattering in the presence of impurities and defects 1–12 .”
BackgroundUnidirectional wave propagation in media with complex principal axes
Horsley, S. A. R. (2018) · Physical Review A · doi:10.1103/physreva.97.023834 · Cited by 8
Liu, T., Bai, K., Zhang, Y., Wan, D., Lai, Y., Chan, C. T., & Xiao, M. (2024) · Light Science & Applications · doi:10.1038/s41377-024-01417-1 · Cited by 8
Luo, Q., Zhao, L., Zhou, J., Zhang, L., Wen, G., Ba, Q., Wu, H., Lin, Z., & Liu, S. (2022) · Frontiers in Materials · doi:10.3389/fmats.2022.845344 · Cited by 7
“…to implement unidirectional rectification on different waves, especially with the aid of metamaterials, such as photonic systems for EM waves (Wang et al., 2008, 2009; Yu and Fan, 2009; Liu et al., 2011; Lin et al., 2011; Poo et al., 2011; Khanikaev et al., 2013; Fang and Fan, 2013; Lin et…”
BackgroundRealization of unidirectional transmission under accidental degenerated Dirac point
Lou, Q., Zhang, Y., Poo, Y., Ma, H., & Wu, R. (2016) · Optics Communications · doi:10.1016/j.optcom.2016.12.013 · Cited by 7
Wang, J., Zheng, W., & Deng, Y. (2020) · Physical Review A · doi:10.1103/physreva.102.043323 · Cited by 7
“Haldane pointed out that topological band theory is not tied to fermions, but essentially wave effects [16], there are many works focusing on topological phenomena in other physical systems, such as magnonic crystals [17–19], photonic crystals [20–22], phononic crystall [23–25] and even coupled pendula [26].”
BackgroundMomentum-Space Topological Effects of Nonreciprocity
Gangaraj, S. A. H., & Hanson, G. W. (2018) · IEEE Antennas and Wireless Propagation Letters · doi:10.1109/lawp.2018.2851438 · Cited by 8
“Topologically protected edge modes have been the subject of many studies and have been experimentally verified [35]–[42].”
ResultChiral properties in a two-dimensional chiral polaritonic photonic crystal
He, C., Lu, M., Yin, R.-C., et al. (2010) · Journal of Applied Physics · doi:10.1063/1.3485827 · Cited by 7
Fan, C., Shi, X., Wu, F., Li, Y., Jiang, H., Sun, Y., & Chen, H. (2021) · Photonics Research · doi:10.1364/prj.441278 · Cited by 7
Unified Approach to Floquet Lattices, Topological Insulators, and Their Nonlinear Dynamics
Ablowitz, M. J., Cole, J. T., & Nixon, S. (2023) · SIAM Journal on Applied Mathematics · doi:10.1137/22m1496979 · Cited by 8
Manipulating electromagnetic wave propagating non-reciprocally by a chain of ferrite rods
Ju, C., Wu, R., Li, Z., et al. (2017) · Optics Express · doi:10.1364/oe.25.022096 · Cited by 7
Invited Article: Topological crystalline protection in a photonic system
Zhang, J.-X., Rechtsman, M. C., & Liu, C. (2016) · APL Photonics · doi:10.1063/1.4953364 · Cited by 7
Recent Progress in Chiral Topological Quantum Interface
Jiang, P., Ma, N., Qiao, X., & Zhang, H. (2022) · Frontiers in Physics · doi:10.3389/fphy.2022.845579 · Cited by 7
Subwavelength higher-order topological insulator based on stereo acoustic networks
Zhang, Z., Cheng, Y., & Liu, X. (2021) · Journal of Applied Physics · doi:10.1063/5.0041928 · Cited by 7
Sadrara, M., & Miri, M. (2024) · Physical review. B./Physical review. B · doi:10.1103/physrevb.110.115429 · Cited by 7
Electrostatically coupled tunable topological phononic metamaterials for angular velocity sensing
Zhao, J. X., Zheng, X., Kacem, N., Dong, Z., & Liu, P. (2024) · Physical review. B./Physical review. B · doi:10.1103/physrevb.109.075136 · Cited by 7
Li, H., Huang, Z., Hong, K., et al. (2021) · Journal of Applied Physics · doi:10.1063/5.0037177 · Cited by 7
Lévêque, G., Szriftgiser, P., Amo, A., & Pennec, Y. (2024) · APL Photonics · doi:10.1063/5.0233892 · Cited by 8
Ling, H. Y., & Kain, B. (2022) · Physical Review A · doi:10.1103/physreva.105.023319 · Cited by 9
Three-dimensional Dirac semimetal metamaterial enabled by negative couplings
Su, Z., Gao, W., Liu, B., Huang, L., & Wang, Y. (2022) · New Journal of Physics · doi:10.1088/1367-2630/ac575a · Cited by 7
Bernety, H. M., & Cappelli, M. (2023) · Journal of Applied Physics · doi:10.1063/5.0124165 · Cited by 7
Self-Trapped Band and Semi-Opening Movable Cavity
Hu, J.-X., & Fang, Y.-T. (2016) · IEEE Journal of Quantum Electronics · doi:10.1109/jqe.2016.2569458 · Cited by 7
“TM mode [11] (the magnetic field is confined in the xy plane and the electric field is along the z direction).”
BackgroundMann, S. A., Mekawy, A., & Alù, A. (2021) · Physical Review Applied · doi:10.1103/physrevapplied.15.034064 · Cited by 8
Chakravarty, A., Levy, M., Jalali, A. A., et al. (2011) · Physical Review B · doi:10.1103/physrevb.84.094202 · Cited by 7
Fibonacci-modulation-induced multiple topological Anderson insulators
Ji, R., & Xu, Z. (2025) · Communications Physics · doi:10.1038/s42005-025-02264-1 · Cited by 7
Light, the universe and everything – 12 Herculean tasks for quantum cowboys and black diamond skiers
Agarwal, G. S., Allen, R. E., Bezděková, I., Boyd, R. W., Chen, G., Hanson, R., Hawthorne, D. L., Hemmer, P., Kim, M. B., Kocharovskaya, O. A., et al. (2018) · Journal of Modern Optics · doi:10.1080/09500340.2018.1454525 · Cited by 8
“e light is a wave, many topological phenomena that exist in condensed matter physics have been emulated in photonics. A new class of photonic structures, photonic topological insulators (PTIs) (277), (278), (279), (280), (281), (282), (283), (284), (285), (286), (287), (288), (289) have been recently realized. PTIs en…”
BackgroundHe, L., Ren, Q., You, J. W., Sha, W. E. I., Lan, Z., Wu, L., Zhang, Y., & Yao, J. (2023) · Optics & Laser Technology · doi:10.1016/j.optlastec.2023.109790 · Cited by 8
Ochiai, T. (2016) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/28/42/425501 · Cited by 7
Large-area unidirectional surface magnetoplasmons using uniaxial μ-near-zero material
Shen, Q., Zheng, X., Zhang, H., et al. (2021) · Optics Letters · doi:10.1364/ol.444752 · Cited by 7
Topological traveling-wave radiation based on chiral edge states in photonic Chern insulators
Han, J., Liang, F., Huang, D., et al. (2024) · Optics Letters · doi:10.1364/ol.540586 · Cited by 7
Y-shaped beam splitter with topologically protected defect waveguide
Gao, Y., He, S., Geng, S.-J., et al. (2021) · Optical Engineering · doi:10.1117/1.oe.60.5.057105 · Cited by 7
“Subsequently, Wang et al.(4,5) experimentally confirmed the existence of chiral edge states in the two-dimensional (2D) magneto photonic crystals (PCs).”
BackgroundHelical graphite metamaterials for intense and locally controllable magnetic fields
Mitran, T. L., & Nemneş, G. A. (2017) · RSC Advances · doi:10.1039/c7ra08247a · Cited by 7
Ittepadan, A., Behera, J. K., & Nayak, C. (2025) · Physics Letters A · doi:10.1016/j.physleta.2025.130798 · Cited by 7
Experimental probe of band structures of bilayer valley photonic crystals
Guo, X., Liu, J., Chen, H.-X., Shi, F., Chen, X., & Dong, J. (2025) · Physical review. B./Physical review. B · doi:10.1103/physrevb.111.024203 · Cited by 7
Surface impedance and generalized chiral symmetry in acoustic higher-order topological insulators
Yang, Z.-Z., Guan, A.-Y., Yang, W.-J., Zou, X., & Cheng, J. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.103.214112 · Cited by 7
Magneto-optical effects of transparent magnetic diffraction gratings
Syouji, A., & Tominaga, H. (2013) · Journal of Magnetism and Magnetic Materials · doi:10.1016/j.jmmm.2013.07.053 · Cited by 7
He, L., Ren, Q., You, J. W., Sha, W. E. I., Lan, Z., Zhang, Y., & Yao, J. (2022) · Optik · doi:10.1016/j.ijleo.2022.170323 · Cited by 7
“…edge states for electromagnetic waves in photonic crystals with broken time-reversal symmetry, which were experimentally demonstrated later on by Wang et al. [4,5], who have observed such chiral backscattering-immune topological electro-magnetic states in magneto-optical photonic crystals (MOPCs).”
BackgroundMattei, M. S., Liu, B., Capote, G. A. M., Liu, Z., Hacha, B. G., Osswald, T. A., Yu, Z., & Goldsmith, R. H. (2022) · ACS Photonics · doi:10.1021/acsphotonics.2c00332 · Cited by 7
Mode conversion and separation in magneto-optical photonic crystal waveguide
Huang, Y., Tang, G., Li, Z., et al. (2023) · Optics Letters · doi:10.1364/ol.500496 · Cited by 7
Ferromagnetic resonance isolator based on a photonic crystal structure with terahertz vortices
Portela, G., Dmitriev, V. A., & Zimmer, D. (2019) · Photonic Network Communications · doi:10.1007/s11107-019-00871-x · Cited by 6
Polar magneto-optic Kerr and Faraday effects in finite periodic PT -symmetric systems
Pérez-Garrido, A., Guo, P., Gasparian, V., et al. (2023) · Physical Review A · doi:10.1103/physreva.107.053504 · Cited by 6
Huang, X., & Chan, C. T. (2015) · Acta Physica Sinica · doi:10.7498/aps.64.184208 · Cited by 6
Unidirectional electromagnetic windmill scattering in a magnetized gyromagnetic cylinder
Chen, J., Pan, J., Zheng, Y., et al. (2022) · Chinese Optics Letters · doi:10.3788/col202220.053901 · Cited by 6
Wang, Y., & Panoiu, N. C. (2022) · Journal of Optics · doi:10.1088/2040-8986/ac8940 · Cited by 6
Shalaev, M. I., Walasik, W. T., & Litchinitser, N. M. (2018) · Conference on Lasers and Electro-Optics · doi:10.1364/cleo_qels.2018.fm4q.3 · Cited by 9
Optical non-Hermitian skin effect in uniform media
Yoda, T., Moritake, Y., Takata, K., Yokomizo, K., Murakami, S., & Notomi, M. (2025) · Physical Review Research · doi:10.1103/3tlp-16mc · Cited by 6
Topological edge and corner states in biphenylene photonic crystal
Phan, H. T., Koizumi, K., Liu, F., & Wakabayashi, K. (2023) · Optics Express · doi:10.1364/oe.510595 · Cited by 6
Luo, J., Xu, P., & Gao, L. (2012) · Solid State Communications · doi:10.1016/j.ssc.2012.01.027 · Cited by 6
Zak-phase-inspired acoustic topological edge states on the honeycomb lattice
Wang, G., Zhang, Z., Gu, Y., Liao, D., Cheng, Y., & Liu, X. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.103.094102 · Cited by 6
Non-reciprocal transmission of terahertz waves through a photonic crystal cavity with graphene
Zhou, Y., Dong, Y.-Q., Zhang, K., et al. (2014) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/107/54001 · Cited by 6
Perspective: Antichiral magnetic topological photonics
Ji, Z., Chen, J., & Li, Z. (2023) · Journal of Applied Physics · doi:10.1063/5.0144864 · Cited by 8
Two-dimensional Green’s tensor for gyrotropic clusters composed of circular cylinders
Asatryan, A. A., Botten, L. C., Fang, K., Fan, S., & McPhedran, R. C. (2014) · Journal of the Optical Society of America A · doi:10.1364/josaa.31.002294 · Cited by 6
Yan, X., Wang, G., & Deng, D. (2019) · Plasmonics · doi:10.1007/s11468-019-00913-0 · Cited by 6
Nelson, A., & Tang, E. (2024) · Physical review. B./Physical review. B · doi:10.1103/physrevb.110.155116 · Cited by 8
Reconfigurable unidirectional propagation of electromagnetic waves in photonic crystal waveguides
Zhao, L., Wen, G., Zhang, L., et al. (2022) · Journal of the Optical Society of America B · doi:10.1364/josab.457969 · Cited by 6
A compact low-loss one-way transmission structure based on nonreciprocal coupling
Jiang, M., Zhu, L., & Zhu, Q. (2019) · Applied Physics Letters · doi:10.1063/1.5063489 · Cited by 6
Marynowski, W., Lech, R., & Mazur, J. (2017) · IEEE Transactions on Microwave Theory and Techniques · doi:10.1109/tmtt.2017.2725858 · Cited by 6
Han, N., Liu, J., Gao, Y., Zhou, K., & Liu, S. (2021) · Optics Express · doi:10.1364/oe.427068 · Cited by 6
An optical one-way device constructed with an epsilon-near-zero prism inserted in a metal slit
Zhou, Y.-S., Zhao, L.-M., Lan, S., & Wang, H. (2015) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/109/54003 · Cited by 6
Wu, R. P. H., & Ong, H. C. (2022) · Physical Review Research · doi:10.1103/physrevresearch.4.023233 · Cited by 6
Robust unidirectional transport in a one-dimensional metacrystal with long-range hopping
Longhi, S. (2016) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/116/30005 · Cited by 7
Honeycomb Schroedinger operators in the strong binding regimePreprint
Fefferman, C., Lee-Thorp, J., & Weinstein, M. I. (2016) · arXiv (Cornell University) · doi:10.48550/arxiv.1610.04930 · Cited by 6
“between periodic dielectric and conducting structures, between periodic structures and free-space, have been explored through experiment and numerical simulation; see, for example [35,40,48,57,60].”
Wu, F. M., Guo, Z., Wu, J., et al. (2020) · Acta Physica Sinica · doi:10.7498/aps.69.20200084 · Cited by 6
Yulin, A. V., Iorsh, I. V., & Shelykh, I. A. (2018) · New Journal of Physics · doi:10.1088/1367-2630/aac4fa · Cited by 5
Anomalous bulk-edge correspondence of the nonlinear Rice-Mele model
Bai, C., & Liang, Z. (2025) · Physical Review A · doi:10.1103/physreva.111.042201 · Cited by 6
Chiral topological whispering gallery modes formed by gyromagnetic photonic crystals
Chen, Y., Gao, N., Zhu, G., & Fang, Y. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.108.195423 · Cited by 7
Parity-time Symmetry in Non-Hermitian Complex MediaPreprint
Gupta, S. K., Zou, Y., Zhu, X.-Y., Lu, M., Zhang, L., Liu, X., & Chen, Y. (2018) · arXiv (Cornell University) · Cited by 6
Topological Laser in Anomalous Quadrupole Topological Phases
Lu, G., Yasutomo, O., & Iwamoto, S. (2024) · Laser & Photonics Review · doi:10.1002/lpor.202400694 · Cited by 6
Çiçek, A., & Uluğ, B. (2013) · Applied Physics B · doi:10.1007/s00340-013-5518-y · Cited by 6
Es’kin, V. A., Ivoninsky, A. V., & Kudrin, A. V. (2014) · doi:10.1109/eucap.2014.6902395 · Cited by 6
Topological Transition Enabled by Surface Modification of Photonic Crystals
Lu, Y., Liu, Q., Chen, Y., Chen, Z., Zhang, D.-W., Deng, H., Zhu, S.-L., Han, P., Shen, N., Koschny, T., et al. (2021) · ACS Photonics · doi:10.1021/acsphotonics.1c00017 · Cited by 6
Highly efficient conversion from classical guided waves to topological chiral edge states
Han, J., Liang, F., Zhao, Y., Ding, X. F., Wang, X., Zhao, D., & Wang, B. (2024) · Chinese Optics Letters · doi:10.3788/col202422.023902 · Cited by 6
Transmission Properties in Plasma Photonic Crystal Controlled by Magnetic Fields
Wang, H., Li, J., Guo, L. H., et al. (2023) · Photonics · doi:10.3390/photonics10030333 · Cited by 6
Topological hydrodynamic modes and holography
Liu, Y., & Sun, Y.-W. (2022) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.105.086017 · Cited by 9
“Moreover, classical topological states of matter were realized experimentally in gyromagnetic photonic crystals at microwave frequencies [5].”
BackgroundUnidirectional Light Beam Splitter Based on the Square-Lattice Photonic Crystal Heterojunctions
Feng, S., Wang, W., & Wang, Y. (2012) · Japanese Journal of Applied Physics · doi:10.1143/jjap.51.112001 · Cited by 6
Topological properties of artificial bandgap materials
Sun, X., He, C., Minghui, L., & Yan-Feng, C. (2017) · Acta Physica Sinica · doi:10.7498/aps.66.224203 · Cited by 6
Chiral magnetic effect of light
Hayata, T. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.205102 · Cited by 7
Nonlinear dynamic properties of nonreciprocal indirect interband photonic transitions
Zang, X., & Jiang, C. (2009) · Journal of the Optical Society of America B · doi:10.1364/josab.26.002275 · Cited by 5
Hajivandi, J., Holcomb, M. B., & Kurt, H. (2021) · Journal of Optics · doi:10.1007/s12596-021-00712-z · Cited by 5
Asymmetric and dynamic waveguide propagation based on localized parity-time symmetry
Li, X., Ye, S.-F., Yang, L., et al. (2019) · Optics Communications · doi:10.1016/j.optcom.2019.03.036 · Cited by 5
Dispersion irrelevant wideband asymmetric transmission in dielectric photonic crystal gratings
Serebryannikov, A. E., Çolak, E., Çakmak, A. Ö., et al. (2012) · Optics Letters · doi:10.1364/ol.37.004844 · Cited by 5
Gao, Y., Wang, L., Feng, Y., et al. (2018) · Journal of Superconductivity and Novel Magnetism · doi:10.1007/s10948-018-4794-5 · Cited by 5
“The structure parameters in the simulation are given as follows: dA = 80 μm, dB = 25 μm, and dD = 220 μm; εA = 1.462, εB = 15, and εD = 1; and μA = and μD = 1. μB is a tensor as expressed in (1), where μ = 14 and = 12.4 when the applied magnetic field is 1600 G at 4.28 GHz [25], while μ = 1 and = 0 without external ma…”
BackgroundInfluentialImplementation of the SSH model in an optical ring resonator
Hotte-Kilburn, A., & Bianucci, P. (2024) · Journal of Optics · doi:10.1088/2040-8986/ad42af · Cited by 7
Localized waves in elastic plates with perturbed honeycomb arrays of constraints
Haslinger, S. G., Frecentese, S., & Carta, G. (2022) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2021.0404 · Cited by 5
Wu, Y., Li, X., & Fang, Y. (2020) · Journal of Optics · doi:10.1088/2040-8986/abae78 · Cited by 5
Multiple scattering of electromagnetic waves by an array of parallel gyrotropic rods
Es’kin, V. A., Kudrin, A. V., Zaboronkova, T. M., et al. (2012) · Physical Review E · doi:10.1103/physreve.86.067601 · Cited by 5
Light transport through a magneto-optical medium: simple theory revealing fruitful phenomena
Pan, J., Zheng, Y., Chen, J., et al. (2023) · Optics Express · doi:10.1364/oe.480666 · Cited by 5
Magnonic topological insulator realized in 2D magnetic skyrmion crystals
Xie, K., Zhang, L., & Ma, F. (2021) · Journal of Applied Physics · doi:10.1063/5.0063972 · Cited by 5
Robust topological edge states from one-dimensional diatomic chain photonic crystals
Fang, Y., Li, X., & Yang, L. (2021) · International Journal of Modern Physics B · doi:10.1142/s0217979221501460 · Cited by 5
One-way electromagnetic waveguide using multiferroic Fibonacci superlattices
Tang, Z.-H., Lei, D., Huang, J., et al. (2015) · Optics Communications · doi:10.1016/j.optcom.2015.07.040 · Cited by 5
On-chip synthetic magnetic field
Khanikaev, A. B. (2013) · Nature Photonics · doi:10.1038/nphoton.2013.321 · Cited by 5
Non-Hermitian higher-order topological corner states on the extended kagome lattice
Zhang, Y., Su, Z., Wang, Y., et al. (2023) · Applied Physics Letters · doi:10.1063/5.0180301 · Cited by 5
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
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
A language model drew the claims from the paper on 2026-10-11, under version 3 of the claim definition (model deepseek-v4.1-flash, prompt extract-v3).
A second model labelled each claim on 2026-10-11 (model jev-1.13-20260917, definition revision gold-guideline-v0.2).
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
