The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Knotted threads of darkness
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Citations
Cites
Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes
Allen, L., Beijersbergen, M. W., Spreeuw, R. J. C., & Woerdman, J. P. (1992) · Physical Review A · doi:10.1103/physreva.45.8185 · Cited by 10,455
Nye, J. F., & Berry, M. V. (1974) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1974.0012 · Cited by 2,157
The degree of knottedness of tangled vortex lines
Moffatt, H. K. (1969) · Journal of Fluid Mechanics · doi:10.1017/s0022112069000991 · Cited by 1,528
Stable knot-like structures in classical field theory
Faddeev, L., & Niemi, A. J. (1997) · Nature · doi:10.1038/387058a0 · Cited by 702
Budworth, G. (1983) · Cited by 425
Knots and ParticlesPreprint
Faddeev, L. D., & Niemi, A. J. (1996) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/9610193 · Cited by 285
Creating Vortex Rings and Three-Dimensional Skyrmions in Bose-Einstein Condensates
Ruostekoski, J., & Anglin, J. R. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.3934 · Cited by 264
Knotted and linked phase singularities in monochromatic waves
Berry, M. V., & Dennis, M. R. (2001) · Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rspa.2001.0826 · Cited by 228
Self-citationThomson, W. (1867) · The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science · doi:10.1080/14786446708639836 · Cited by 173
Berry, M., & Dennis, M. R. (2001) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/34/42/311 · Cited by 77
Self-citation
Cited by
Chapter 5 Singular Optics: Optical Vortices and Polarization Singularities
Dennis, M. R., O'Holleran, K., & Padgett, M. J. (2009) · Progress in Optics · doi:10.1016/s0079-6638(08)00205-9 · Cited by 666
Self-citationDennis, M. R., King, R. P., Jack, B., O’Holleran, K., & Padgett, M. J. (2010) · Nature Physics · doi:10.1038/nphys1504 · Cited by 486
Self-citationAnguita, J. A., Neifeld, M. A., & Vasic, B. V. (2008) · Applied Optics · doi:10.1364/ao.47.002414 · Cited by 442
Optical ferris wheel for ultracold atoms
Franke-Arnold, S., Leach, J., Padgett, M. J., Lembessis, V. E., Ellinas, D., Wright, A. J., Girkin, J. M., Öhberg, P., & Arnold, A. S. (2007) · Optics Express · doi:10.1364/oe.15.008619 · Cited by 346
Self-citationTopological complex-energy braiding of non-Hermitian bands
Wang, K., Dutt, A., Wojcik, C. C., & Fan, S. (2021) · Nature · doi:10.1038/s41586-021-03848-x · Cited by 322
Metadata
- Authors
- Leach, J., Dennis, M. R., Courtial, J., & Padgett, M. J.
- Venue
- Nature
- Published
- 2004-11-10
- Volume
- 432
- Issue
- 7014
- Pages
- 165-165
- ISSN
- 0028-0836 (ISSN-L)
- 1476-4687
- OpenAlex
- W2002623614
- Cited by
- 254
- References
- 11
- FWCI
- 6.14
- Type
- journal article
- Language
- en
- Open access
- closed
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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.
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- CoChat. (2026). Citation check: Knotted threads of darkness. https://app.cochat.ai/papers/10.1038/432165a
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- Leach, J., Dennis, M. R., Courtial, J., & Padgett, M. J. (2004). Knotted threads of darkness. Nature. https://doi.org/10.1038/432165a
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
