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 401–500 of 1,444
Poo, Y., Wu, R., Liu, S., Yang, Y., Lin, Z., & Chui, S. T. (2012) · Applied Physics Letters · doi:10.1063/1.4747810 · Cited by 33
Xiao, B., Lai, K., Yu, Y., Ma, T., Shvets, G. B., & Anlage, S. M. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.94.195427 · Cited by 32
Huang, C., Zhang, R., Han, J., et al. (2014) · Physical Review A · doi:10.1103/physreva.89.023842 · Cited by 33
Quantum-spin-Hall topological insulator in a spring-mass system
Zhou, Y., Bandaru, P. R., & Sievenpiper, D. F. (2018) · New Journal of Physics · doi:10.1088/1367-2630/aaf341 · Cited by 34
Topologically-protected one-way leaky waves in nonreciprocal plasmonic structures
Gangaraj, S. A. H., & Monticone, F. (2018) · Journal of Physics Condensed Matter · doi:10.1088/1361-648x/aaab24 · Cited by 33
Curved-space topological phases in photonic lattices
Lustig, E., Cohen, M.-I., Bekenstein, R., Harari, G., Bandres, M. A., & Segev, M. (2017) · Physical Review A · doi:10.1103/physreva.96.041804 · Cited by 33
Logic gates based on edge states in gyromagnetic photonic crystal
Ge, R., Yan, B., Xie, J., Liu, E., Tan, W., & Liu, J. (2019) · Journal of Magnetism and Magnetic Materials · doi:10.1016/j.jmmm.2019.166367 · Cited by 33
A Short Review of All-Dielectric Topological Photonic Crystals
Wang, H., & Jiang, J. (2022) · Frontiers in Physics · doi:10.3389/fphy.2022.866552 · Cited by 33
“[26, 27] in the gyromagnetic PhCs in the microwave regime.”
BackgroundWang, X., Han, Y., Fei, H., Lin, H. X., Zhang, M., Liu, X., Cao, B., Yang, Y., Chen, Z., & Xiao, L. (2023) · Optics Express · doi:10.1364/oe.484575 · Cited by 36
“[17] Wang Z; Chong Y-D; Joannopoulos J D; Soljačić M.”
BackgroundDrifting Electrons: Nonreciprocal Plasmonics and Thermal Photonics
Gangaraj, S. A. H., & Monticone, F. (2022) · ACS Photonics · doi:10.1021/acsphotonics.1c01294 · Cited by 32
Li, C., Hu, X., Yang, H., & Gong, Q. (2017) · AIP Advances · doi:10.1063/1.4976013 · Cited by 33
Integrated optical Dirac physics via inversion symmetry breaking
Collins, M. J., Zhang, F., Bojko, R. J., Chrostowski, L., & Rechtsman, M. C. (2016) · Physical Review A · doi:10.1103/physreva.94.063827 · Cited by 31
Highly efficient photonic-crystal splitters based on one-way waveguiding
Wang, Z., Shen, L., Yu, Z., Zhang, X., & Zheng, X. (2012) · Journal of the Optical Society of America B · doi:10.1364/josab.30.000173 · Cited by 31
Self-citationParametric oscillation of electromagnetic waves in momentum band gaps of a spatiotemporal crystal
Lee, S., Park, J., Cho, H., Wang, Y., Kim, B., Daraio, C., & Min, B. (2020) · Photonics Research · doi:10.1364/prj.406215 · Cited by 30
Interface states in polariton topological insulators
Zhang, Y., Kartashov, Y. V., & Ferrando, A. (2019) · Physical Review A · doi:10.1103/physreva.99.053836 · Cited by 30
“ith energies smaller than the width of the topological gap, where they form. They, or their analogues, have been proposed and observed in different physical systems, including acoustic [26], photonic [27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37], and optoelectronic [38, 39, 40, 41, 42] ones. Including nonlinear effects…”
BackgroundValley-Hall Topological Plasmons in a Graphene Nanohole Plasmonic Crystal Waveguide
You, J. W., Lan, Z., Bao, Q., & Panoiu, N. C. (2020) · IEEE Journal of Selected Topics in Quantum Electronics · doi:10.1109/jstqe.2020.2982991 · Cited by 31
Chiral flexural waves in structured plates: Directional localisation and control
Carta, G., Colquitt, D. J., Movchan, A. B., et al. (2020) · Journal of the Mechanics and Physics of Solids · doi:10.1016/j.jmps.2020.103866 · Cited by 31
Perfect Nonreciprocal Absorption Based on Metamaterial Slab
Fang, Y., & Zhang, Y. (2017) · Plasmonics · doi:10.1007/s11468-017-0558-5 · Cited by 31
Antichiral surface states in time-reversal-invariant photonic semimetals
Liu, J., Shi, F., Shen, K., Chen, X., Chen, K., Chen, W.-J., & Dong, J. (2023) · Nature Communications · doi:10.1038/s41467-023-37670-y · Cited by 31
Deep learning for topological photonics
Yun, J., Kim, S., So, S., Kim, M., & Rho, J. (2022) · Advances in Physics X · doi:10.1080/23746149.2022.2046156 · Cited by 33
“The beginning of topological photonics considered the quantum Hall phase, which is composed of gyromagnetic materials that behave like electrons under a magnetic field [6].”
BackgroundPhotonic two-particle quantum walks in Su–Schrieffer–Heeger lattices
Klauck, F., Heinrich, M., & Szameit, A. (2020) · Photonics Research · doi:10.1364/prj.409005 · Cited by 31
Topological photonic bands in two-dimensional networks of metamaterial elements
Yannopapas, V. (2012) · New Journal of Physics · doi:10.1088/1367-2630/14/11/113017 · Cited by 31
Fu, J., Liu, R., & Li, Z. (2010) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/89/64003 · Cited by 31
Spectral element method for band structures of three-dimensional anisotropic photonic crystals
Luo, M., & Liu, Q. H. (2009) · Physical Review E · doi:10.1103/physreve.80.056702 · Cited by 30
Observation of topological gravity-capillary waves in a water wave crystal
Laforge, N., Laude, V., Chollet, F. A., Khelif, A., Kadic, M., Guo, Y., & Fleury, R. (2019) · New Journal of Physics · doi:10.1088/1367-2630/ab376a · Cited by 28
Variation of Topological Edge States of 2D Honeycomb Lattice Photonic Crystals
Peng, Y., Yan, B., Xie, J., Liu, E., Li, H., Ge, R., Gao, F., & Liu, J. (2020) · physica status solidi (RRL) - Rapid Research Letters · doi:10.1002/pssr.202000202 · Cited by 34
Khandekar, C., Buddhiraju, S., Wilkinson, P. R., Gimzewski, J. K., Rodríguez, A. W., Chase, C., & Fan, S. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.104.245433 · Cited by 32
Investigation of corner states in second-order photonic topological insulator
Shen, S.-L., Li, C., & Wu, J.-F. (2021) · Optics Express · doi:10.1364/oe.426691 · Cited by 29
Pseudospins and topological edge states in elastic shear waves
Li, J., Wang, J., Wu, S.-Q., et al. (2017) · AIP Advances · doi:10.1063/1.5010754 · Cited by 29
Broadside Radiation From Chern Photonic Topological Insulators
Xu, Z., Wang, M., Fang, S., Liu, H., Wang, Z., & Sievenpiper, D. F. (2021) · IEEE Transactions on Antennas and Propagation · doi:10.1109/tap.2021.3111256 · Cited by 31
“According to different mechanisms, PTIs are classified into different types, including Chern-PTIs [6], [7], valley-PTIs [8], spin Hall-PTIs [9], and Floquet-PTIs [10].”
BackgroundResultSelf-citationGuo, S., Hu, C., & Zhang, H. (2020) · Journal of Optics · doi:10.1088/2040-8986/abad09 · Cited by 29
Robust waveguiding in substrate-integrated topological photonic crystals
Chen, Q., Zhang, L., Xu, S., Wang, Z., Li, E., Yang, Y., & Chen, H. (2020) · Applied Physics Letters · doi:10.1063/5.0003888 · Cited by 29
Self-citationGangaraj, S. A. H., & Hanson, G. W. (2016) · IEEE Antennas and Wireless Propagation Letters · doi:10.1109/lawp.2016.2582905 · Cited by 29
Higher-order valley vortices enabled by synchronized rotation in a photonic crystal
Zhou, R., Lin, H. L., Wu, Y., Li, Z., Yu, Z., Liu, Y., & Xu, D.-H. (2022) · Photonics Research · doi:10.1364/prj.452598 · Cited by 29
“Following quantum Hall (QH) phases [2], more intricate topological phases such as quantum spin Hall (QSH) phases [3, 5], and quantum valley Hall (QVH) phases [4] are also invented in the context of analogue PhC systems, the two of which respectively exploit the dichroism freedom by pseudo-spin/valley concepts in class…”
BackgroundFragile topology based helical edge states in two-dimensional moon-shaped photonic crystals
Li, Z., Chan, H., & Xiang, Y. (2020) · Physical review. B./Physical review. B · doi:10.1103/physrevb.102.245149 · Cited by 27
Su, M., Wang, C., Li, K., Wu, L., Lin, Q., Zhou, R., & Yang, S. (2022) · Optics Express · doi:10.1364/oe.463377 · Cited by 30
Electrically tunable robust edge states in graphene-based topological photonic crystal slabs
Song, Z., Liu, H., Huang, N., & Wang, Z. (2018) · Journal of Physics D Applied Physics · doi:10.1088/1361-6463/aaa9fe · Cited by 28
Self-citationLu, J.-C., Chen, X., Deng, W., Chen, M., & Dong, J. (2018) · Journal of Optics · doi:10.1088/2040-8986/aac3a1 · Cited by 28
“For example, the analogue of the quantum Hall effect was theoretically proposed in gyroelectric or magnetic PCs [16–19], and then experimentally demonstrated in PCs by adapting magnetooptical materials [20, 21].”
Designing Spinning Bloch States in 2D Photonic Crystals for Stirring Nanoparticles
Onoda, M., & Ochiai, T. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.033903 · Cited by 28
Han, X., Li, L., Hu, Y., Ling, L., Geng, Z.-G., Peng, Y., Zhao, D., Zhu, X., & Wang, X. (2020) · Physical Review Applied · doi:10.1103/physrevapplied.14.024091 · Cited by 27
Defect Modes for Dislocated Periodic Media
Drouot, A., Fefferman, C., & Weinstein, M. I. (2020) · Communications in Mathematical Physics · doi:10.1007/s00220-020-03787-0 · Cited by 28
Giant enhancement of nonreciprocity in gyrotropic heterostructures
Katsantonis, I., Tasolamprou, A. C., Koschny, T., et al. (2023) · Scientific Reports · doi:10.1038/s41598-023-48503-9 · Cited by 28
Photonic topological insulators in femtosecond laser direct-written waveguides
Yan, W., Zhang, B., & Chen, F. (2024) · npj Nanophotonics · doi:10.1038/s44310-024-00040-7 · Cited by 30
“This idea was quickly put into practice by creating a gyromagnetic photonic crystal made of ferrite rods in the microwave range 8,9 , which inspired a series of studies on photonic TIs.”
1D Photonic Topological Insulators Composed of Split Ring Resonators: A Mini Review
Guo, Z., Wang, Y., Ke, S., Su, X., Ren, J., & Chen, H. (2023) · Advanced Physics Research · doi:10.1002/apxr.202300125 · Cited by 29
Direct observation of terahertz topological valley transport
Hong, Y.-L., Tang, G.-H., Peng, R., Fan, R., Ma, Z.-L., Wang, Z., Jiang, Y., Chen, L.-D., & Wang, M. (2022) · Optics Express · doi:10.1364/oe.454750 · Cited by 26
Self-citationZhang, X., Li, W., & Jiang, X. (2012) · Applied Physics Letters · doi:10.1063/1.3679172 · Cited by 32
Topological edge states in bichromatic photonic crystals
Alpeggiani, F., & Kuipers, L. (2019) · Optica · doi:10.1364/optica.6.000096 · Cited by 26
Limitations and possibilities of topological photonics
Leykam, D., Xue, H., Zhang, B., & Chong, Y. D. (2025) · Nature Reviews Physics · doi:10.1038/s42254-025-00889-3 · Cited by 38
“Photonic Chern insulators have been realized with microwave-scale photonic crystals 12,13 containing yttrium-iron-garnet (YIG), a magneto-optical ferrite and microwave circuits containing wave circulators that similarly break time-reversal symmetry 48–50 .”
Self-citationBroadband one-way propagation and rainbow trapping of terahertz radiations
Xu, J., Xiao, S., Wu, C., et al. (2019) · Optics Express · doi:10.1364/oe.27.010659 · Cited by 27
Chai, Z., Hu, X., Yang, H., et al. (2016) · Nanophotonics · doi:10.1515/nanoph-2016-0127 · Cited by 27
Zhu, X.-Y., Gupta, S. K., Sun, X., He, C., Li, G., Jiang, J., Liu, X.-P., Lu, M., & Chen, Y. (2018) · Optics Express · doi:10.1364/oe.26.024307 · Cited by 27
Stopping terahertz radiation without backscattering over a broad band
Shen, L., Zheng, X., & Deng, X. (2015) · Optics Express · doi:10.1364/oe.23.011790 · Cited by 27
Reconfigurable Topological Phases in Two-Dimensional Dielectric Photonic Crystals
Huang, H., Huo, S.-Y., & Chen, J. (2019) · Crystals · doi:10.3390/cryst9040221 · Cited by 26
Design of nonreciprocal waveguide devices based on two-dimensional magneto-optical photonic crystals
Zhang, L., Yang, D., Chen, K., Li, T., & Xia, S. (2013) · Optics & Laser Technology · doi:10.1016/j.optlastec.2013.03.003 · Cited by 26
Wang, J., Huang, Y., & Chen, W. (2019) · Science China Physics Mechanics and Astronomy · doi:10.1007/s11433-019-9601-6 · Cited by 25
Bulk-Edge Correspondence for Nonlinear Eigenvalue Problems
Isobe, T., Yoshida, T., & Hatsugai, Y. (2024) · Physical Review Letters · doi:10.1103/physrevlett.132.126601 · Cited by 29
Synthetic Kramers Pair in Phononic Elastic Plates and Helical Edge States on a Dislocation Interface
Liu, T., & Semperlotti, F. (2021) · Advanced Materials · doi:10.1002/adma.202005160 · Cited by 27
“However, these systems required the breaking of time reversal symmetry (TRS), which imposes significant practical complexities due to the need for either special magneto-optic and elastic materials, or for carefully controlled external input [9–18].”
BackgroundTzortzakakis, A. F., Katsaris, A., Palaiodimopoulos, N. E., Kalozoumis, P. A., Theocharis, G., Diakonos, F. Κ., & Petrosyan, D. (2022) · Physical Review A · doi:10.1103/physreva.106.023513 · Cited by 27
Topology in Thermal, Particle, and Plasma Diffusion Metamaterials
Liu, Z., Jin, P., Lei, M., Wang, C., Zhuang, P., Tan, P., Jiang, J., Marchesoni, F., & Huang, J. (2025) · Chemical Reviews · doi:10.1021/acs.chemrev.4c00912 · Cited by 26
Zhou, R., Lin, H. L., Liu, Y., Shi, X., Tang, R., Wu, Y., & Yu, Z. (2021) · Physical Review A · doi:10.1103/physreva.104.l031502 · Cited by 24
“In order to facilitate the description of the topological phase transition mechanism, we consider the behavior of the transverse magnetic (TM) mode in a Kekulé PC with C6 symmetry [8].”
MethodTopological edge and corner states in honeycomb-kagome photonic crystals
Shao, S., Liang, L., Hu, J., Poo, Y., & Wang, H. (2023) · Optics Express · doi:10.1364/oe.489523 · Cited by 28
Nonreciprocal transmission of electromagnetic waves with nonlinear active plasmonic metasurfaces
Guo, T., & Argyropoulos, C. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.106.235418 · Cited by 25
Jiang, T., Xiao, M., Chen, W.-J., Yang, L., Fang, Y., Tam, W. Y., & Chan, C. T. (2019) · Nature Communications · doi:10.1038/s41467-018-08281-9 · Cited by 25
Topological terahertz circuits using semiconductors
Bahari, B., Téllez-Limón, R., & Kanté, B. (2016) · Applied Physics Letters · doi:10.1063/1.4963789 · Cited by 25
Tunable and programmable topological valley transport in photonic crystals with liquid crystals
Zhao, Y., Liang, F., Wang, X., Zhao, D., & Wang, B. (2022) · Journal of Physics D Applied Physics · doi:10.1088/1361-6463/ac485d · Cited by 25
Wu, M., Yang, Y., Fei, H., Lin, H., Han, Y., Zhao, X., & Chen, Z. (2022) · Optics Express · doi:10.1364/oe.439769 · Cited by 24
Optical torque on a two-level system near a strongly nonreciprocal medium
Gangaraj, S. A. H., Silveirinha, M., Hanson, G., et al. (2018) · Physical review B · doi:10.1103/physrevb.98.125146 · Cited by 20
Nonreciprocal Anderson localization in magneto-optical random structures
Bliokh, K. Y., Gredeskul, S. A., Rajan, P., Shadrivov, I. V., & Kivshar, Y. S. (2012) · Physical Review B · doi:10.1103/physrevb.85.014205 · Cited by 25
Gyrotropic-nihility state in a composite ferrite-semiconductor structure
Tuz, V. R. (2015) · Journal of Optics · doi:10.1088/2040-8978/17/3/035611 · Cited by 25
Reconfigurable topological waveguide based on honeycomb lattice of dielectric cuboids
Wang, X.-X., & Hu, X. (2018) · Nanophotonics · doi:10.1515/nanoph-2020-0146 · Cited by 25
Topological effects in integrated photonic waveguide structures [Invited]
Kremer, M., Maczewsky, L. J., Heinrich, M., & Szameit, A. (2021) · Optical Materials Express · doi:10.1364/ome.414648 · Cited by 27
Isolation and one-way effects in diffraction on dielectric gratings with plasmonic inserts
Serebryannikov, A. E., & Özbay, E. (2009) · Optics Express · doi:10.1364/oe.17.000278 · Cited by 25
He, C., Liang, L. G., Sun, X., Liu, X.-P., Lu, M., & Chen, Y. (2013) · International Journal of Modern Physics B · doi:10.1142/s021797921441001x · Cited by 23
Broadband Multiple Topological Rainbows
Elshahat, S., Esmail, M. S. M., Yuan, H., Feng, S., & Lu, C. (2022) · Annalen der Physik · doi:10.1002/andp.202200137 · Cited by 24
Floquet Chern insulators of light
He, L., Addison, Z., Jin, J., Melé, E. J., Johnson, S. G., & Zhen, B. (2019) · RePEc: Research Papers in Economics · Cited by 23
Acoustic metamaterials with spinning components
Zhao, D., Wang, Y., Fung, K. H., Zhang, Z.-Q., & Chan, C. T. (2020) · Physical review. B./Physical review. B · doi:10.1103/physrevb.101.054107 · Cited by 24
“. In the presence of rotation, according to Eq. (7) our model is similar to the gyromagnetic photonic crystal under an external dc magnetic field, which induces the imaginary off -diagonal terms in P [36, 37]. As such, the spinning of cylinders plays the counterpart of an effective static magnetic field, which breaks…”
ResultAbsence of Topological Protection of the Interface States in Z 2 Photonic Crystals
Xu, S., Wang, Y., & Agarwal, R. (2023) · Physical Review Letters · doi:10.1103/physrevlett.131.053802 · Cited by 28
“After the early explorations of photonic Chern insulators where the time-reversal symmetry is explicitly broken [6, 7], with the discovery of topological crystalline insulators (TCIs) [8], the topological phases were significantly enriched beyond the ten-fold way classification of topological insulators and supercondu…”
BackgroundProtected Transverse Electric Waves in Topological Dielectric Waveguides
Zhou, R., Chen, M. L. N., Shi, X., Ren, Y., Yu, Z., Tian, Y. M., Liu, Y., & Lin, H. L. (2023) · IEEE Transactions on Antennas and Propagation · doi:10.1109/tap.2023.3336978 · Cited by 26
“The topological phase of matter that was first discovered in electronic systems has been extended to EMs [10], [11], [12], [13], [14], [15], [16], [17].”
BackgroundLein, M., & Sato, K. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.100.075414 · Cited by 24
Multichannel valley topological beam splitter based on different types of domain walls
Ma, J., Ouyang, C., Yang, Y., Li, H., Li, N., Qian, X., Liu, Y., Yang, B., Xu, Q., Li, Y., et al. (2023) · Applied Physics Letters · doi:10.1063/5.0150179 · Cited by 24
Nonreciprocity in synthetic photonic materials with nonlinearity
Chen, W., Leykam, D., Chong, Y. D., & Yang, L. (2018) · MRS Bulletin · doi:10.1557/mrs.2018.124 · Cited by 24
Self-citationVortex index identification and unidirectional propagation in Kagome photonic crystals
Deng, W., Chen, X., Chen, W.-J., Zhao, F., & Dong, J. (2018) · Nanophotonics · doi:10.1515/nanoph-2019-0009 · Cited by 24
Transverse angular momentum in topological photonic crystals
Deng, W.-M., Chen, X.-D., Zhao, F.-L., & Dong, J. (2017) · Journal of Optics · doi:10.1088/2040-8986/aa9b06 · Cited by 24
Multiple Brillouin Zone Winding of Topological Chiral Edge States for Slow Light Applications
Chen, F., Xue, H., Pan, Y., Wang, M., Hu, Y., Zhang, L., Chen, Q., Han, S. H., Liu, G., Gao, Z. L., et al. (2024) · Physical Review Letters · doi:10.1103/physrevlett.132.156602 · Cited by 27
Reflected wave of finite circulation from magnetic photonic crystals
Chui, S. T., Liu, S., & Lin, Z. (2010) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/22/18/182201 · Cited by 24
Flexible electromagnetic manipulation by topological one-way large-area waveguide states
Qu, T., Wang, N., Wang, M., Zhang, L., & Chen, J. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.105.195432 · Cited by 25
One-way regular electromagnetic mode immune to backscattering
Deng, X., Hong, L., Zheng, X., & Shen, L. (2015) · Applied Optics · doi:10.1364/ao.54.004608 · Cited by 23
Distinguishing topological corner modes in higher-order topological insulators of finite size
Zhu, W., & Ma, G. (2020) · Physical review. B./Physical review. B · doi:10.1103/physrevb.101.161301 · Cited by 22
Left-handed and right-handed one-way edge modes in a gyromagnetic photonic crystal
He, C., Chen, X., Lu, M., Li, X., Wan, W., Qian, X., Yin, R.-C., & Chen, Y. (2010) · Journal of Applied Physics · doi:10.1063/1.3374470 · Cited by 23
One-way interfacial waves in a flexural plate with chiral double resonators
Carta, G., Colquitt, D. J., Movchan, A. B., et al. (2019) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2019.0350 · Cited by 23
“One-way unidirectional waves immune to backscattering were firstly observed in photonic crystals [30, 31, 32, 33, 34], motivated by the analogy with the edge states in topological insulators linked to the quantum Hall effect.”
BackgroundZang, X., & Jiang, C. (2011) · Journal of the Optical Society of America B · doi:10.1364/josab.28.000554 · Cited by 22
Quantum topological photonics with special focus on waveguide systems
Gao, J., Xu, Z.-S., Yang, Z., Zwiller, V., & Elshaari, A. W. (2024) · npj Nanophotonics · doi:10.1038/s44310-024-00034-5 · Cited by 29
He, L., Lan, Z., Yang, Y., Ren, Q., You, J. W., Sha, W. E. I., Liang, W., & Yao, J. (2024) · Optics Express · doi:10.1364/oe.518922 · Cited by 24
Magnetic-Optic Effect-Based Topological State: Realization and Application
Wang, X., Zhao, W. D., Zhang, H., Elshahat, S., & Lu, C. (2022) · Frontiers in Materials · doi:10.3389/fmats.2021.816877 · Cited by 23
“proposed (Haldane and Raghu, 2008) and separating quadratic degeneracy points (Wang et al., 2008).”
BackgroundMethodInfluentialLi, J., Wang, H., Jia, S., Zhan, P., Lu, M., Wang, Z., Chen, Y., & Xie, B. (2023) · Laser & Photonics Review · doi:10.1002/lpor.202300543 · Cited by 26
Self-citationKhavasi, A., Rezaei, M., Fard, A. P., et al. (2013) · Journal of Optics · doi:10.1088/2040-8978/15/7/075501 · Cited by 23
Zhou, Y., Zhang, N., Bisharat, D. J., Davis, R. J., Zhang, Z., Friend, J. R., Bandaru, P. R., & Sievenpiper, D. F. (2023) · Physical Review Applied · doi:10.1103/physrevapplied.19.024053 · Cited by 25
New Developments in Liquid Crystals
(2009) · InTech eBooks · doi:10.5772/239 · Cited by 22
Hu, Z., Qin, M., He, L., Liu, W., Yu, T., Xiao, S., & Liao, Q. (2022) · Optics Letters · doi:10.1364/ol.474271 · Cited by 21
Photonic crystal cavity with one-way rotating state and its coupling with photonic crystal waveguide
Wang, Z., Shen, L., Zhang, X., Wang, Y., Yu, Z., & Zheng, X. (2011) · Journal of Applied Physics · doi:10.1063/1.3622676 · Cited by 22
Self-citation
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
