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Liquid crystals

Tangled loops and knots

Knot-shaped micrometric tubes embedded in a liquid crystal induce the formation of defect lines that loop around the knotted tubes to form knots.

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Figure 1: Defect loops and knot-shaped microparticles.
Figure 2: Defect loops winding around knotted microparticles2.

References

  1. Thomson, W. Phil. Mag. 34, 94105 (1867).

    Article  Google Scholar 

  2. Martinez, A. et al. Nature Mater. 13, 258–263 (2014).

    Article  CAS  Google Scholar 

  3. Poulin, P., Stark, H., Lubensky, T. C. & Weitz, D. Science 275, 1770–1773 (1997).

    Article  CAS  Google Scholar 

  4. Senyuk, B. et al. Nature 493, 200–205 (2013).

    Article  CAS  Google Scholar 

  5. Tkalec, U., Ravnik, M., Čopar, S., Žumer, S. & Muševič, I. Science 333, 62–65 (2011).

    Article  CAS  Google Scholar 

  6. Kleckner, D. & Irvine, W. T. M. Nature Phys. 9, 253–258 (2013).

    Article  CAS  Google Scholar 

  7. Dennis, M. R., King, R. P., Jack, B., O'Holleran, K. & Padgett, M. J. Nature Phys. 6, 118–121 (2010).

    Article  CAS  Google Scholar 

  8. Kedia, H., Bialynicki-Birula, I., Peralta-Salas, D. & Irvine, W. T. M. Phys. Rev. Lett. 111, 150404 (2013).

    Article  Google Scholar 

  9. Smalyukh, I. I., Lansac, Y., Clark, N. A. & Trivedi, R. P. Nature Mater. 9, 139–145 (2010).

    Article  CAS  Google Scholar 

  10. Terentjev, E. Nature Mater. 12, 187–189 (2013).

    Article  CAS  Google Scholar 

Download references

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Correspondence to William T. M. Irvine.

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Irvine, W., Kleckner, D. Tangled loops and knots. Nature Mater 13, 229–231 (2014). https://doi.org/10.1038/nmat3896

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