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 301–400 of 1,444
Topological edge states in an all-dielectric terahertz photonic crystal
Devi, K. M., Jana, S., & Chowdhury, D. R. (2021) · Optical Materials Express · doi:10.1364/ome.427069 · Cited by 51
Magnon topology and thermal Hall effect in trimerized triangular lattice antiferromagnet
Kim, K.-S., Lee, K., Chung, S. B., & Park, J.-G. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.100.064412 · Cited by 51
Parity-time electromagnetic diodes in a two-dimensional nonreciprocal photonic crystal
He, C., Lu, M., Heng, X., Feng, L., & Chen, Y. (2011) · Physical Review B · doi:10.1103/physrevb.83.075117 · Cited by 49
Wei, Q., Bi, D., Qi, X., Ren, M., & Wu, F. (2024) · Optics Letters · doi:10.1364/ol.549425 · Cited by 53
Multiple topological phase transitions in a gyromagnetic photonic crystal
Chen, Z., Mei, J., Sun, X.-C., Zhang, X., Zhao, J., & Wu, Y. (2017) · Physical Review A · doi:10.1103/physreva.95.043827 · Cited by 47
Inverted bi-prism phononic crystals for one-sided elastic wave transmission applications
Oh, J. H., Kim, H. W., Ma, P.-S., et al. (2012) · Applied Physics Letters · doi:10.1063/1.4721485 · Cited by 49
Simulating quantum spin Hall effect in the topological Lieb lattice of a linear circuit network
Zhu, W., Hou, S., Long, Y., Chen, H., & Ren, J. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.075310 · Cited by 48
Super-resolution acoustic image montage via a biaxial metamaterial lens
Peng, Y., Shen, Y., Geng, Z.-G., Li, P.-Q., Zhu, J., & Zhu, X. (2020) · 中国科学通报：英文版 · doi:10.1016/j.scib.2020.03.018 · Cited by 47
The existence of topological edge states in honeycomb plasmonic lattices
Wang, L., Zhang, R.-Y., Xiao, M., Han, D., Chan, C. T., & Wen, W. (2016) · New Journal of Physics · doi:10.1088/1367-2630/18/10/103029 · Cited by 49
Tunable Nonlinear Topological Insulator for Acoustic Waves
Darabi, A., & Leamy, M. J. (2019) · Physical Review Applied · doi:10.1103/physrevapplied.12.044030 · Cited by 48
Unidirectional propagation of coupled edge states in sandwich topological photonic crystals
Gao, Y., Jiang, Z., Zhang, L., He, L., & Zhao, J. X. (2018) · Journal of Applied Physics · doi:10.1063/1.5047647 · Cited by 46
Chen, X., Deng, Z., Chen, W.-J., Wang, J.-R., & Dong, J. (2015) · Physical Review B · doi:10.1103/physrevb.92.014210 · Cited by 43
One-way helical electromagnetic wave propagation supported by magnetized plasma
Yang, B., Lawrence, M., Gao, W., Guo, Q., & Zhang, S. (2016) · Scientific Reports · doi:10.1038/srep21461 · Cited by 48
Photonic-Fock-state scattering in a waveguide-QED system and their correlation functions
Shen, Y., & Shen, J. (2015) · Physical Review A · doi:10.1103/physreva.92.033803 · Cited by 47
“(3) are for mathematical convenience, there are physical systems which are precisely described by the chiral Hamiltonians, such as the photonic analog of the quantum Hall effect [26,27].”
BackgroundUnidirectional acoustic transmission based on source pattern reconstruction
Li, Y., Tu, J., Liang, B., et al. (2012) · Journal of Applied Physics · doi:10.1063/1.4752407 · Cited by 46
Unidirectional transmission in photonic-crystal gratings at beam-type illumination
Çakmak, A. Ö., Çolak, E., Serebryannikov, A. E., et al. (2010) · Optics Express · doi:10.1364/oe.18.022283 · Cited by 46
Intrinsic in-plane nodal chain and generalized quaternion charge protected nodal link in photonics
Wang, D., Yang, B., Guo, Q., Zhang, R.-Y., Xia, L., Su, X., Chen, W.-J., Han, J., Zhang, S., & Chan, C. T. (2021) · Light Science & Applications · doi:10.1038/s41377-021-00523-8 · Cited by 45
Manipulation of topological beam splitter based on honeycomb photonic crystals
Gao, Y., Sun, J.-P., Xu, N., Jiang, Z., Hou, Q., He, S., Jin, M., & Zhang, C. (2020) · Optics Communications · doi:10.1016/j.optcom.2020.126646 · Cited by 45
Line nodes, Dirac points, and Lifshitz transition in two-dimensional nonsymmorphic photonic crystals
Lin, J., Hu, N. C., Chen, Y., Lee, C. H., & Zhang, X. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.96.075438 · Cited by 47
Coexistence of pseudospin- and valley-Hall-like edge states in a photonic crystal with C3v symmetry
Chen, M., Jiang, L. J., Lan, Z., & Sha, W. E. I. (2020) · UCL Discovery (University College London) · Cited by 46
Reconfigurable topological insulator for elastic waves
Darabi, A., & Leamy, M. J. (2019) · The Journal of the Acoustical Society of America · doi:10.1121/1.5114920 · Cited by 47
Anderson localization in metamaterials and other complex media (Review Article)
Gredeskul, S. A., Kivshar, Y. S., Asatryan, A. A., Bliokh, K. Y., Bliokh, Y. P., Freilikher, V., & Shadrivov, I. V. (2012) · Low Temperature Physics · doi:10.1063/1.4736617 · Cited by 47
Unidirectional surface plasmons in nonreciprocal graphene
Lin, X., Xu, Y., Zhang, B., Hao, R., Chen, H., & Li, E. (2013) · New Journal of Physics · doi:10.1088/1367-2630/15/11/113003 · Cited by 46
“In particular, surface plasmons have been shown theoretically and experimentally to possess nonreciprocal properties in the presence of an external static magnetic field [8–15] similar to the chiral edge states of electrons in the quantum Hall effect [16–18].”
BackgroundBroadband Topological Slow Light through Brillouin Zone Winding
Mann, S. A., & Alù, A. (2021) · Physical Review Letters · doi:10.1103/physrevlett.127.123601 · Cited by 48
Transport tuning of photonic topological edge states by optical cavities
Ji, C., Liu, G., Zhang, Y., Zou, B., & Yao, Y. (2019) · Physical Review A · doi:10.1103/physreva.99.043801 · Cited by 42
Topological photonics in metamaterials
Ma, S., Yang, B., & Zhang, S. (2022) · Photonics Insights · doi:10.3788/pi.2022.r02 · Cited by 46
“Shortly afterward, the idea was experimentally implemented by Wang et al. from MIT [21,22] .”
MethodTopological scattering resonances at ultralow frequencies
Gangaraj, S. A. H., Valagiannopoulos, C. A., & Monticone, F. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.023180 · Cited by 44
From topologically protected coherent perfect reflection to bound states in the continuum
Dai, S., Liu, L., Han, D., & Zi, J. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.98.081405 · Cited by 44
Perspective on the topological rainbow
Elshahat, S., Wang, C., Zhang, H., & Lu, C. (2021) · Applied Physics Letters · doi:10.1063/5.0074014 · Cited by 47
Unidirectional transmission in non-symmetric gratings made of isotropic material
Ye, W., Yuan, X., Guo, C., et al. (2010) · Optics Express · doi:10.1364/oe.18.007590 · Cited by 44
Yan, B., Peng, Y., Xie, J., Peng, Y., Shi, A., Li, H., Gao, F., Peng, P., Jiang, J., Liu, J., et al. (2024) · Laser & Photonics Review · doi:10.1002/lpor.202300686 · Cited by 46
Photonic Chern insulator through homogenization of an array of particles
Xiao, M., & Fan, S. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.96.100202 · Cited by 45
Optical isolation in topological-edge-state photonic arrays
El‐Ganainy, R., & Levy, M. (2015) · Optics Letters · doi:10.1364/ol.40.005275 · Cited by 44
Diagnosis of Interaction-driven Topological Phase via Exact Diagonalization
Wu, H.-Q., He, Y.-Y., Fang, C., et al. (2016) · Physical Review Letters · doi:10.1103/physrevlett.117.066403 · Cited by 43
Robust entanglement with three-dimensional nonreciprocal photonic topological insulators
Gangaraj, S. A. H., Hanson, G. W., & Antezza, M. (2017) · Physical Review A · doi:10.1103/physreva.95.063807 · Cited by 41
Enhanced Faraday rotation in magnetophotonic crystal infiltrated with graphene
Da, H., & Liang, G. (2011) · Applied Physics Letters · doi:10.1063/1.3605593 · Cited by 41
Hotspots from nonreciprocal surface waves
Chettiar, U. K., Davoyan, A. R., & Engheta, N. (2014) · Optics Letters · doi:10.1364/ol.39.001760 · Cited by 42
Controlling surface plasmon polaritons by a static and/or time-dependent external magnetic field
Kuzmiak, V., Eyderman, S., & Vanwolleghem, M. (2012) · Physical Review B · doi:10.1103/physrevb.86.045403 · Cited by 43
Interfacial waveforms in chiral lattices with gyroscopic spinners
Garau, M., Carta, G., Nieves, M. J., Jones, I. S., Movchan, N. V., & Movchan, A. B. (2018) · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rspa.2018.0132 · Cited by 58
He, C., Sun, X., Zhang, Z., Yuan, C., Lu, M., Chen, Y., & Sun, C. (2013) · Optics Express · doi:10.1364/oe.21.028933 · Cited by 43
Yang, J., Hwang, Y., & Oh, S. S. (2021) · Physical Review Research · doi:10.1103/physrevresearch.3.l022025 · Cited by 42
Coherent optical non-reciprocity in axisymmetric resonators
Lenferink, E. J., Wei, G., & Stern, N. P. (2014) · Optics Express · doi:10.1364/oe.22.016099 · Cited by 42
Tuning topological phase transitions in hexagonal photonic lattices made of triangular rods
Chan, H., & Guo, G. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.045422 · Cited by 40
Mandal, S., Banerjee, R., & Liew, T. C. H. (2022) · ACS Photonics · doi:10.1021/acsphotonics.1c01425 · Cited by 46
Topologically Protected States in One-Dimensional Systems
Fefferman, C., Lee-Thorp, J., & Weinstein, M. I. (2017) · Memoirs of the American Mathematical Society · doi:10.1090/memo/1173 · Cited by 42
“graphene, where a bulk gap is opened at a “Dirac point” by breaking timereversal symmetry [11,12,16,21,29], protected edge states are uni-directional and furthermore do not backscatter in the presence of interface perturbations [30,31, 40,45].”
BackgroundRobust Fano resonance in the photonic valley Hall states
Ji, C., Zhang, Y., Zou, B., & Yao, Y. (2021) · Physical Review A · doi:10.1103/physreva.103.023512 · Cited by 42
Weyl points in photonic-crystal superlattices
Bravo‐Abad, J., Lü, L., Fu, L., Buljan, H., & Marin Soljacic, A. (2015) · 2D Materials · doi:10.1088/2053-1583/2/3/034013 · Cited by 40
“Specific examples of the exotic phenomena enabled by the presence of photonic Dirac cones include conical diffraction [6], pseudo-diffuse light transport [7], directional optical waveguiding [8, 9, 11], photonic Klein tunneling [14], angular selectivity of spontaneous emission [30], pseudo-magnetic properties in the o…”
BackgroundSelf-citationMultichannel optical diode with unidirectional diffraction relevant total transmission
Serebryannikov, A. E., Çakmak, A. Ö., & Özbay, E. (2012) · Optics Express · doi:10.1364/oe.20.014980 · Cited by 41
Unidirectional Extraordinary Sound Transmission with Mode-Selective Resonant Materials
Zhu, J., Zhu, X., Yin, X., et al. (2020) · Physical Review Applied · doi:10.1103/physrevapplied.13.041001 · Cited by 41
Kagome lattice from an exciton-polariton perspective
Gulevich, D. R., Yudin, D., Iorsh, I. V., & Shelykh, I. A. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.94.115437 · Cited by 40
Aghajamali, A., Zare, A., & Wu, C.-J. (2015) · Applied Optics · doi:10.1364/ao.54.008602 · Cited by 40
Topological Nanophotonics: Toward Robust Quantum Circuits
Blanco‐Redondo, A. (2019) · Proceedings of the IEEE · doi:10.1109/jproc.2019.2939987 · Cited by 45
“From the first theoretical proposals to realize topologically protected transport of light [1]–[3], slightly over a decade ago, we have witnessed astonishing progress in topological photonics [4], [5].”
BackgroundAcoustic frequency filter based on anisotropic topological phononic crystals
Chen, Z., Zhao, J., Mei, J., & Wu, Y. (2017) · Scientific Reports · doi:10.1038/s41598-017-15409-2 · Cited by 40
Line Waves Existing at Junctions of Dual-Impedance Metasurfaces
Xu, Z., Chang, J., Fang, S., Zhang, Q., Davis, R. J., Sievenpiper, D. F., & Cui, T. J. (2021) · ACS Photonics · doi:10.1021/acsphotonics.1c00344 · Cited by 45
Tunable topological edge and corner states in an all-dielectric photonic crystal
Zhao, Y., Liang, F., Han, J., Wang, X., Zhao, D., & Wang, B. (2022) · Optics Express · doi:10.1364/oe.465461 · Cited by 40
Corner modes of the breathing kagome lattice: Origin and robustness
Herrera, M. A. J., Kempkes, S. N., de Paz, M. B., García‐Etxarri, A., Swart, I., Smith, C. M., & Bercioux, D. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.105.085411 · Cited by 42
Extremely Broadband Topological Surface States in a Photonic Topological Metamaterial
Kim, M., Gao, W., Lee, D., Ha, T., Kim, T., Zhang, S., & Rho, J. (2019) · Advanced Optical Materials · doi:10.1002/adom.201900900 · Cited by 38
“on implemented in photonics [4, 5, 6, 7, 8]. Besides Weyl points, other topological states, such as quantum Hall effect and quantum spin Hall effect have been also predicted and observed in photonics [9, 10, 11, 12, 13, 14, 15, 16, 17, 18]. During the last several years, photonic topological materials have developed r…”
BackgroundTunable band topology in gyroscopic lattices
Mitchell, N., Nash, L. M., & Irvine, W. T. M. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.98.174301 · Cited by 38
Zhu, Z., Liu, K., Xu, W. K., et al. (2012) · Optics Letters · doi:10.1364/ol.37.004008 · Cited by 38
Geometric phase induced interface states in mutually inverted two-dimensional photonic crystals
Huang, X., Yang, Y., Hang, Z. H., Zhang, Z.-Q., & Chan, C. T. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.93.085415 · Cited by 37
Photonic realization of the (2+1)-dimensional parity anomaly
Ochiai, T. (2012) · Physical Review B · doi:10.1103/physrevb.86.075152 · Cited by 37
Topological valley transport under long-range deformations
Xu, Z., Kong, X., Davis, R. J., Bisharat, D. J., Zhou, Y., Yin, X., & Sievenpiper, D. F. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.013209 · Cited by 42
Double Dirac cone in two-dimensional phononic crystals beyond circular cells
Dai, H., Liu, T., Jiao, J., Xia, B., & Yu, D. (2017) · Journal of Applied Physics · doi:10.1063/1.4979852 · Cited by 38
Valley-dependent corner states in honeycomb photonic crystals without inversion symmetry
Phan, H. T., Liu, F., & Wakabayashi, K. (2021) · Optics Express · doi:10.1364/oe.427222 · Cited by 39
Pseudospin induced topological corner state at intersecting sonic lattices
Zhang, Z., Hu, B., Liu, F., Cheng, Y., Liu, X., & Christensen, J. (2020) · Physical review. B./Physical review. B · doi:10.1103/physrevb.101.220102 · Cited by 36
Topological ring-cavity laser formed by honeycomb photonic crystals
Sun, X., & Hu, X. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.103.245305 · Cited by 41
Metaweaves: Sector-Way Nonreciprocal Metasurfaces
Mazor, Y., & Steinberg, B. Z. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.153901 · Cited by 37
Planar Optical Cavities Hybridized with Low‐Dimensional Light‐Emitting Materials
Jang, J., Jeong, M., Lee, J., Kim, S., Yun, H., & Rho, J. (2022) · Advanced Materials · doi:10.1002/adma.202203889 · Cited by 38
Floquet Topological Phases in One-Dimensional Nonlinear Photonic Crystals
Lu, J., He, L., Addison, Z., Melé, E. J., & Zhen, B. (2021) · Physical Review Letters · doi:10.1103/physrevlett.126.113901 · Cited by 38
Nearly Total Omnidirectional Reflection by a Single Layer of Nanorods
Du, J., Lin, Z., Chui, S. T., Dong, G., & Zhang, W. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.163902 · Cited by 38
Topology-Controlled Photonic Cavity Based on the Near-Conservation of the Valley Degree of Freedom
Li, Y., Yu, Y., Feng-yu, L., Zhang, B., & Shvets, G. B. (2020) · Physical Review Letters · doi:10.1103/physrevlett.125.213902 · Cited by 37
Observation of Backscattering-Immune Chiral Electromagnetic Modes Without Time Reversal Breaking
Chen, W.-J., Hang, Z. H., Dong, J., Xiao, X., Wang, H., & Chan, C. T. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.023901 · Cited by 37
Revival resonant scattering, perfect caustics, and isotropic transport of pseudospin-1 particles
Xu, H.-Y., & Lai, Y. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.94.165405 · Cited by 38
Hatsugai, Y. (2010) · New Journal of Physics · doi:10.1088/1367-2630/12/6/065004 · Cited by 36
Cubic 3D Chern photonic insulators with orientable large Chern vectors
Devescovi, C., García‐Díez, M., Robredo, I., de Paz, M. B., Lasa‐Alonso, J., Bradlyn, B., Mañes, J. L., Vergniory, M. G., & García‐Etxarri, A. (2021) · Nature Communications · doi:10.1038/s41467-021-27168-w · Cited by 39
“magnetization of ferri-magnetic materials [5].”
BackgroundInfluentialEdge states and the valley Hall effect
Drouot, A., & Weinstein, M. I. (2020) · Advances in Mathematics · doi:10.1016/j.aim.2020.107142 · Cited by 37
“The types of perturbed honeycomb operators or edge operators we consider were introduced in [22,23] to capture the essential features of theoretical and experimental work [30,45,49].”
BackgroundTopological slow light via coupling chiral edge modes with flatbands
Yu, L., Xue, H., & Zhang, B. (2021) · Applied Physics Letters · doi:10.1063/5.0039839 · Cited by 36
“[8] Z.”
BackgroundMethodInfluentialFlat and self-trapping photonic bands through coupling of two unidirectional edge modes
Fang, Y.-T., He, H.-Q., Hu, J.-X., Chen, L., & Zhang, W. (2015) · Physical Review A · doi:10.1103/physreva.91.033827 · Cited by 37
Inverse Design of Photonic Topological Insulators with Extra‐Wide Bandgaps
Chen, Y., Meng, F., Jia, B., Li, G., & Huang, X. (2019) · physica status solidi (RRL) - Rapid Research Letters · doi:10.1002/pssr.201900175 · Cited by 36
Chirality-assisted three-dimensional acoustic Floquet lattices
Peng, Y., Li, Y., Shen, Y., Geng, Z.-G., Zhu, J., Qiu, C., & Zhu, X. (2019) · Physical Review Research · doi:10.1103/physrevresearch.1.033149 · Cited by 36
Transforming Unidirectional Edge Waveguide Into Unidirectional Air Waveguide
Fang, Y.-T., He, H.-Q., & Hu, J.-X. (2015) · IEEE Journal of Selected Topics in Quantum Electronics · doi:10.1109/jstqe.2015.2487879 · Cited by 36
Broadband unidirectional electromagnetic mode at interface of anti-parallel magnetized media
Zhu, H., & Jiang, C. (2010) · Optics Express · doi:10.1364/oe.18.006914 · Cited by 36
Topological Photonic States in Waveguide Arrays
Kang, J., Wei, R., Zhang, Q., & Dong, G. (2022) · Advanced Physics Research · doi:10.1002/apxr.202200053 · Cited by 41
Quantum Topological Boundary States in Quasi‐Crystals
Wang, Y., Lu, Y., Gao, J., Sun, K., Jiao, Z., Tang, H. L., & Jin, X. (2019) · Advanced Materials · doi:10.1002/adma.201905624 · Cited by 36
Photonic topological Chern insulators based on Tellegen metacrystals
Jacobs, D. A., Miroshnichenko, A. E., Kivshar, Y. S., & Khanikaev, A. B. (2015) · New Journal of Physics · doi:10.1088/1367-2630/17/12/125015 · Cited by 34
Non-Reciprocal, Robust Surface Plasmon Polaritons on Gyrotropic Interfaces
Pakniyat, S., Holmes, A. M., Hanson, G. W., Gangaraj, S. A. H., Antezza, M., Silveirinha, M. G., Jam, S., & Monticone, F. (2020) · IEEE Transactions on Antennas and Propagation · doi:10.1109/tap.2020.2969725 · Cited by 36
“As such, they are forced to pass over the discontinuity, and the lack of scattering or diffraction makes them interesting from a wave-propagation aspect and promising for device applications [11]–[13].”
BackgroundYannopapas, V. (2011) · Physical Review B · doi:10.1103/physrevb.84.195126 · Cited by 34
Transient response of a gyro-elastic structured medium: Unidirectional waveforms and cloaking
Garau, M., Nieves, M. J., Carta, G., et al. (2019) · International Journal of Engineering Science · doi:10.1016/j.ijengsci.2019.05.007 · Cited by 34
Intrinsic Spin-Momentum Dynamics of Surface Electromagnetic Waves in Dispersive Interfaces
Shi, P., Lei, X., Zhang, Q., Li, H., Du, L., & Yuan, X. (2022) · Physical Review Letters · doi:10.1103/physrevlett.128.213904 · Cited by 36
Green's function theory for one-way particle chains
Hadad, Y., Mazor, Y., & Steinberg, B. Z. (2013) · Physical Review B · doi:10.1103/physrevb.87.035130 · Cited by 33
Sun, L., Wang, H., He, Y., Zhang, Y., Tang, G., He, X., Dong, J., & Su, Y. (2022) · Laser & Photonics Review · doi:10.1002/lpor.202200354 · Cited by 35
Nonreciprocal extraordinary optical transmission through subwavelength slits in metallic film
Zhu, H., & Jiang, C. (2011) · Optics Letters · doi:10.1364/ol.36.001308 · Cited by 33
Demonstration of negative refraction induced by synthetic gauge fields
Yang, Y., Ge, Y., Li, R., Lin, X., Jia, D., Guan, Y.-J., Yuan, S., Sun, H.-X., Chong, Y. D., & Zhang, B. (2021) · Science Advances · doi:10.1126/sciadv.abj2062 · Cited by 34
Self-citationEffective Hamiltonian for Photonic Topological Insulator with Non-Hermitian Domain Walls
Li, Y., Fan, C., Hu, X., Ao, Y., Lu, C., Chan, C. T., Kennes, D. M., & Gong, Q. (2022) · Physical Review Letters · doi:10.1103/physrevlett.129.053903 · Cited by 36
Chiral surface waves on hyperbolic-gyromagnetic metamaterials
Chern, R.-L., & Yu, Y.-Z. (2017) · Optics Express · doi:10.1364/oe.25.011801 · Cited by 34
Magnetic control of Goos-Hänchen shifts in a yttrium-iron-garnet film
Yu, W., Sun, H., & Gao, L. (2017) · Scientific Reports · doi:10.1038/srep45866 · Cited by 34
“φ = + + − A B g k A B k d 2 tan( ) (34) e e y”
Design of broadband all-dielectric valley photonic crystals at telecommunication wavelength
Han, Y., Fei, H., Lin, H., Zhang, Y., Zhang, M., & Yang, Y. (2021) · Optics Communications · doi:10.1016/j.optcom.2021.126847 · Cited by 34
Dual-polarization two-dimensional valley photonic crystals
He, X., Liu, J., Shi, F., Shen, K., Chen, W.-J., Chen, X., & Dong, J. (2022) · Science China Physics Mechanics and Astronomy · doi:10.1007/s11433-022-1916-7 · Cited by 33
Nonlinear optical waveguide lattices: Asymptotic analysis, solitons, and topological insulators
Ablowitz, M. J., & Cole, J. T. (2022) · Physica D Nonlinear Phenomena · doi:10.1016/j.physd.2022.133440 · Cited by 35
Yu, J., Chen, H., Wu, Y., et al. (2012) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/100/47007 · Cited by 33
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
