Mutually tangled colloidal knots and induced defect loops in nematic fields

Nature Materials

Volumn 13, Issue 3, 2014, Pages 258-263

  Martinez, Angel ^a   Ravnik, Miha ^b   Lucero, Brice ^a   Visvanathan, Rayshan ^a   Žumer, Slobodan ^b,c   Smalyukh, Ivan I ^a,d  

^a UNIVERSITY OF COLORADO   (United States)

^b UNIVERSITY OF LJUBLJANA   (Slovenia)

^c JO EF STEFAN INSTITUTE   (Slovenia)

^d University of Colorado at Boulder   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DEFECTS; LIQUID CRYSTALS; PHOTOPOLYMERIZATION; SCAFFOLDS;

COLLOIDAL DISPERSION; COLLOIDAL PARTICLE; ELASTIC FREE ENERGY; MICRO-PARTICLES; PHYSICAL SYSTEMS; TOPOLOGICAL CONSTRAINTS; TOPOLOGICAL DEFECT; TWO-PHOTON PHOTOPOLYMERIZATION;

TOPOLOGY;

EID: 84894464758     PISSN: 14761122     EISSN: 14764660     Source Type: Journal    
DOI: 10.1038/nmat3840     Document Type: Article

References (30)

1. Senyuk, B. et al. Shape-dependent oriented trapping and scaffolding of plasmonic nanoparticles by topological defects for self-assembly of colloidal dimers in liquid crystals. Nano Lett. 12, 955-963 (2012).
2. Alexander, G. P., Chen, B. G., Matsumoto, E. A. & Kamien, R. D. Colloquium: Disclination loops, point defects, and all that in nematic liquid crystals. Rev. Mod. Phys. 84, 497-514 (2012).
3. Tkalec, U., Ravnik, M.,Sumer, S. & Muevi£, I. Reconfigurable knots and links in chiral nematic colloids. Science 333, 62-65 (2011).
4. Livingston, C. Knot Theory (The Mathematical Association of America, Indiana University-Bloomington, 1993).
5. Kauffman, L. H. Knots and Physics 3rd edn (World Scientific, 2000).
6. Dennis, M. R., King, R. P., Jack, B., O'Holleran, K. & Padgett, M. J. Isolated optical vortex knots. Nature Phys. 6, 118-121 (2010).
7. Kleckner, D. M. & Irvine, W. T. Creation and dynamics of knotted vortices. Nature Phys. 9, 253-258 (2013).
8. Yi-Shi, D., Li, Z. & Xin-Hui, Z. Topological structure of knotted vortex lines in liquid crystals. Commun. Theor. Phys. 47, 1129-1134 (2007).
9. Faddeev, L. & Niemi, A. J. Stable knot-like structures in classical field theory. Nature 387, 58-61 (1997).
10. Bouligand, Y., Derrida, B., Poenaru, V., Pomeau, Y. & Toulouse, G. Distortions with double topological character: The case of cholesterics. J. Physique 39, 863-867 (1978).
11. Smalyukh, I. I., Lansac, Y., Clark, N. & Trivedi, R. Three-dimensional structure and multistable optical switching of triple twist Toron quasiparticles in anisotropic fluids. Nature Mater 9, 139-145 (2010).
12. Thomson, W. On vortex atoms. Phil. Mag. 34, 15-24 (1867).
13. Chuang, I., Durrer, R., Turok, N. & Yurke, B. Cosmology in the laboratory: Defect dynamics in liquid crystals. Science 251, 1336-1342 (1991).
14. Bowick, M. J., Chandar, L., Schiff, E. A. & Srivastava, A. M. The cosmological Kibble mechanism in the laboratory: string formation in liquid crystals. Science 263, 943-945 (1994).
15. Alsayed, A. M., Islam, M. F., Zhang, J., Collings, P. J. & Yodh, A. G. Premelting at defects within bulk colloidal crystals. Science 309, 1207-1210 (2005).
16. Chaikin, P. M. & Lubensky, T. C. Principles of Condensed Matter Physics (Cambridge Univ. Press, 2000).
17. Poulin, P., Holger, S., Lubensky, T. C. & Weitz, D. A. Novel colloidal interactions in anisotropic fluids. Science 275, 1770-1773 (1997).
18. Nelson, D. R. Toward a tetravalent chemistry of colloids. Nano Lett. 2, 1125-1129 (2002).
19. Loudet, J. C., Barois, P. & Poulin, P. Colloidal ordering from phase separation in a liquid-crystalline continuous phase. Nature 407, 611-613 (2000).
20. Martinez, A., Mireles, H. C. & Smalyukh, I. I. Large-area optoelastic manipulation of colloidal particles in liquid crystals using photoresponsive molecular surface monolayers. Proc. Natl Acad. Sci. USA 108, 20891-20896 (2011).
21. Wood, T. A., Lintuvuori, J. S., Schofield, A. B., Marenduzzo, D. & Poon, W. C. K. A self-quenched defect glass in a colloid-nematic liquid crystal composite. Science 334, 79-83 (2011).
22. Ravnik, M. & .umer, S. Landau-de Gennes modelling of nematic liquid crystal colloids. Liq. Cryst. 36, 1201-1214 (2009).
23. Senyuk, B. et al. Topological colloids. Nature 493, 200-205 (2013).
24. Wang, Y. et al. Colloids with valence and specific directional bonding. Nature 491, 51-55 (2012).
25. Marchetti, M. C. et al. Hydrodynamics of soft active matter. Rev. Mod. Phys. 85, 1143-1189 (2013).
26. Martinez, A., Lee, T., Asavei, Th., Rubinsztein-Dunlop, H. & Smalyukh, I. I. Three-dimensional complex-shaped photopolymerized microparticles at liquid crystal interfaces. Soft Matter 8, 2432-2437 (2012).
27. Lee, T., Trivedi, R. P. & Smalyukh, I. I. Multimodal nonlinear optical polarizing microscopy of long-range molecular order in liquid crystals. Opt. Lett. 35, 3447-3449 (2010).
28. Trivedi, R. P., Lee, T., Bertness, K. & Smalyukh, I. I. Unconventional structure-assisted optical manipulation of high-index nanowires in liquid crystals. Opt Express 18, 27658-27669 (2010).
29. Opar, S. & .umer, S. Nematic baids: Topological invariants and rewiring of disclinations. Phys. Rev. Lett. 106, 177801 (2011).
30. Buniy, R. V. & Kephart, T. Glueballs and the universal energy spectrum of tight knots and links. Int. J. Mod. Phys. A 20, 1252-1259 (2005).