Topological protection of photonic mid-gap defect modes
Open accessThe claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
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?
Due to recent progress in implementing waveguide elements that invert the sign of hybridization, the complexity of this model could recently be captured by a photonic cavity lattice structure.
“Due to recent progress in implementing waveguide elements that invert the sign of hybridization 21 , the complexity of this model could recently be captured by a photonic cavity lattice structure 22 .”
From Topolectrical-circuit realization of topological corner modes (2018) · cites this paper as [22]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Quantized 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 · see citing works
Quantum Spin Hall Insulator State in HgTe Quantum Wells
König, M., Wiedmann, S., Brüne, C., Roth, A., Buhmann, H., Molenkamp, L. W., Qi, X.-L., & Zhang, S.-C. (2007) · Science · doi:10.1126/science.1148047 · Cited by 6,151 · see citing works
Ozawa, T., Price, H. M., Amo, A., Goldman, N., Hafezi, M., Lu, L., Rechtsman, M. C., Schuster, D., Simon, J., Zilberberg, O., et al. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015006 · Cited by 3,722 · see citing works
Self-citationPhotonic Floquet topological insulators
Rechtsman, M. C., Zeuner, J. M., Plotnik, Y., Lumer, Y., Podolsky, D., Dreisow, F., Nolte, S., Segev, M., & Szameit, A. (2013) · Nature · doi:10.1038/nature12066 · Cited by 3,332 · see citing works
Self-citationArtificial gauge field for photons in coupled cavity arrays
Umucalılar, R. O., & Carusotto, I. (2011) · Physical Review A · doi:10.1103/physreva.84.043804 · Cited by 300 · see citing works
Universal Sign Control of Coupling in Tight-Binding Lattices
Keil, R., Poli, C., Heinrich, M., Arkinstall, J., Weihs, G., Schomerus, H., & Szameit, A. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.213901 · Cited by 83 · see citing works
Flagged first, then by citations
Research works printed but not linked: 9
- [10]L.-H. Wu and X. Hu, Phys. Rev. Lett. 114 , 223901 (2015). http://dx.doi.org/10.1103/PhysRevLett.114.223901 · DOI · Paper page
- [13]C. L. Kane and E. J. Mele, Phys. Rev. Lett. 95 , 226801 (2005). http://dx.doi.org/10.1103/PhysRevLett.95.226801 · DOI · Paper page
- [14]C. L. Kane and E. J. Mele, Phys. Rev. Lett. 95 , 146802 (2005). http://dx.doi.org/10.1103/PhysRevLett.95.146802 · DOI · Paper page
- [18]W. Shockley, Phys. Rev. 56 , 317 (1939). http://dx.doi.org/10.1103/PhysRev.56.317 · DOI
- [21]A. Y. Kitaev, Physics-Uspekhi 44 , 131 (2001). http://stacks.iop.org/1063-7869/44/i=10S/a=S29
- [22]C. L. Fefferman, J. P. Lee-Thorp, and M. I. Weinstein, Proceedings of the National Academy of Sciences 111 , 8759 (2014).
- [26]J. K. Asb´ oth, L. Oroszl´ any, and A. P´ alyi, in Lecture Notes in Physics, Berlin Springer Verlag, Vol. 919 (Springer, 2016).
- [36]C. Poli, H. Schomerus, M. Bellec, U. Kuhl, and F. Mortessagne, arXiv preprint arXiv:1512.02284 (2015). · arXiv
- [39]A. P. Schnyder, S. Ryu, A. Furusaki, and A. W. W. Ludwig, AIP Conference Proceedings 1134 , 10 (2009).
Cited by
Sorted by citations
Ozawa, T., Price, H. M., Amo, A., Goldman, N., Hafezi, M., Lu, L., Rechtsman, M. C., Schuster, D., Simon, J., Zilberberg, O., et al. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015006 · Cited by 3,722 · see citing works
Self-citationTopolectrical-circuit realization of topological corner modes
Imhof, S., Berger, C., Bayer, F., Brehm, J., Molenkamp, L. W., Kiessling, T., Schindler, F., Lee, C. H., Greiter, M., Neupert, T., et al. (2018) · Nature Physics · doi:10.1038/s41567-018-0246-1 · Cited by 1,034 · see citing works
Photonic topological boundary pumping as a probe of 4D quantum Hall physics
Zilberberg, O., Huang, S., Guglielmon, J., Wang, M., Chen, K. P., Kraus, Y. E., & Rechtsman, M. C. (2018) · Nature · doi:10.1038/nature25011 · Cited by 533 · see citing works
Self-citationTopoelectrical circuit octupole insulator with topologically protected corner states
Bao, J., Zou, D., Zhang, W., He, W., Sun, H., & Zhang, X. (2019) · Physical Review B · doi:10.1103/physrevb.100.201406 · Cited by 149 · see citing works
“The other kinds of second- and third-order topological phases have also been observed in acoustic, photonic and electronic systems [22-44].”
BackgroundObserving movement of Dirac cones from single-photon dynamics
Lu, Y.-H., Wang, Y., Chang, Y.-J., Li, Z.-M., Cui, W.-H., Gao, J., Zhou, W.-H., Zheng, H., & Jin, X.-M. (2021) · Physical Review B · doi:10.1103/physrevb.103.064304 · Cited by 7 · see citing works
“With the successful experimental observation and validation here, it is of great interest to generalize our approach of dynamical observation to the other attractive models, including Lieb-lattices [36–39] with localized states in the continuum, Kagome-breathing-lattices [40], fractal topological photonic quasicrystal…”
Method
- Authors
- Noh, J., Benalcazar, W. A., Huang, S., Collins, M. J., Chen, K. P., Hughes, T. L., & Rechtsman, M. C.
- Affiliations
- Pennsylvania State University (US)
- University of Illinois Urbana-Champaign (US)
- University of Pittsburgh (US)
- Corresponding author
- Rechtsman, Mikael C.
- ORCID
- Hughes, Taylor L.
- Venue
- Nature Photonics
- Published
- 2018-06-04
- Volume
- 12
- Issue
- 7
- Pages
- 408-415
- ISSN
- 1749-4885 (ISSN-L)
- 1749-4893
- OpenAlex
- W2555843628
- Cited by
- 630
- References
- 6
- Citations by year
- 2026: 47 · 2025: 63 · 2024: 73 · 2023: 93 · 2022: 84 · 2021: 107 · 2020: 95 · 2019: 49 · 2018: 18 · 2017: 1
- FWCI
- 31.09
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Nature Photonics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Photonic Crystals and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
- Keywords
- topological protection, photonic crystal defects, topological zero modes, topological invariants
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.
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
