- Open Access
Shaping boundaries to control and transport topological defects in colloidal nematic liquid crystals
Phys. Rev. Research 8, 023217 – Published 28 May, 2026
DOI: https://doi.org/10.1103/wbbt-w9nm
Abstract
Anisotropic rodlike particles form liquid crystalline phases with varying degrees of orientational and translational order. When confined geometrically, these phases can give rise to topological defects, which can be selected and controlled by tuning how the rods align near boundaries, known as anchoring. While anchoring in molecular liquid crystals can be controlled through surface functionalization, this approach is not easily applicable to microscale colloidal systems, which have so far been limited to planar anchoring. Here, using particle-based simulations, Landau–de Gennes theory, and experiments on colloidal rods, we demonstrate that topographical patterning of the boundary can effectively control the anchoring type and, in turn, the defect state in two-dimensional confined nematics. Building on this, we numerically predict that dynamically shape shifting the boundaries can transform and transport topological defects.
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References (47)
- L. Onsager, The effects of shape on the interaction of colloidal particles, Ann. N. Y. Acad. Sci. 51, 627 (1949).
- J. A. Castellano, Liquid Gold: The Story of Liquid Crystal Displays an d th e Creation of an Industry (World Scientific, Singapore, 2005).
- N. D. Mermin, The topological theory of defects in ordered media, Rev. Mod. Phys. 51, 591 (1979).
- G. P. Alexander, B. G. ge Chen, E. A. Matsumoto, and R. D. Kamien, Colloquium: Disclination loops, point defects, and all that in nematic liquid crystals, Rev. Mod. Phys. 84, 497 (2012).
- K. Harth and R. Stannarius, Topological point defects of liquid crystals in quasi-two-dimensional geometries, Front. Phys. 8, 112 (2020).
- M. Kleman and O. D. Lavrentovich, in Soft Matter Physics: An Introduction, edited by M. Kleman and O. D. Lavrentovich (Springer, New York, 2003).
- P.-G. De Gennes and J. Prost, The Physics of Liquid Crystals (Oxford University Press, Oxford, 1993), Vol. 83.
- A. J. Vromans and L. Giomi, Orientational properties of nematic disclinations, Soft Matter 12, 6490 (2016).
- X. Tang and J. V. Selinger, Orientation of topological defects in 2D nematic liquid crystals, Soft Matter 13, 5481 (2017).
- O. Lavrentovich, Defects in liquid crystals: Surface and interfacial anchoring effects, Patterns of Symmetry Breaking, edited by H. Arodz, J. Dziarmaga, and W. H. Zurek (Springer, Dordrecht, 2003), pp. 161–195.
- S. Shojaei-Zadeh and S. L. Anna, Role of surface anchoring and geometric confinement on focal conic textures in smectic-A liquid crystals, Langmuir 22, 9986 (2006).
- T. M. Hernandez, J. A. Davis, I. Moreno, D. M. Cottrell, and D. Sand, Complete polarization control of light from a liquid crystal spatial light modulator, Opt. Express 20, 364 (2012).
- J. Lu, Y. Bao, C. L. Su, and K. P. Loh, Properties of strained structures and topological defects in graphene, ACS Nano 7, 8350 (2013).
- I.-C. Khoo and S.-T. Wu, Optics and Nonlinear Optics of Liquid Crystals (World Scientific, Singapure, 1993).
- I. Muševič, M. Škarabot, U. Tkalec, M. Ravnik, and S. Žumer, Two-dimensional nematic colloidal crystals self-assembled by topological defects, Science 313, 954 (2006).
- M. J. Shin, M.-J. Gim, and D. K. Yoon, Directed self-assembly of topological defects of liquid crystals, Langmuir 34, 2551 (2018).
- M. J. Uline, S. Meng, and I. Szleifer, Surfactant driven surface anchoring transitions in liquid crystal thin films, Soft Matter 6, 5482 (2010).
- G. P. Bryan-Brown, E. L. Wood, and I. C. Sage, Weak surface anchoring of liquid crystals, Nature (London) 399, 338 (1999).
- J. Patel and H. Yokoyama, Continuous anchoring transition in liquid crystals, Nature (London) 362, 525 (1993).
- R. A. Drawhorn and N. L. Abbott, Anchoring of nematic liquid crystals on self-assembled monolayers formed from alkanethiols on semitransparent films of gold, J. Phys. Chem. 99, 16511 (1995).
- R. van Roij, M. Dijkstra, and R. Evans, Orientational wetting and capillary nematization of hard-rod fluids, Europhys. Lett. 49, 350 (2000).
- L. Harnau, F. Penna, and S. Dietrich, Colloidal hard-rod fluids near geometrically structured substrates, Phys. Rev. E 70, 021505 (2004).
- M. Dijkstra, R. van Roij, and R. Evans, Wetting and capillary nematization of a hard-rod fluid: A simulation study, Phys. Rev. E 63, 051703 (2001).
- A. H. Lewis, I. Garlea, J. Alvarado, O. J. Dammone, P. D. Howell, A. Majumdar, B. M. Mulder, M. Lettinga, G. H. Koenderink, and D. G. Aarts, Colloidal liquid crystals in rectangular confinement: Theory and experiment, Soft Matter 10, 7865 (2014).
- J. Y. Kim, K. Nayani, H. S. Jeong, H.-J. Jeon, H.-W. Yoo, E. H. Lee, J. O. Park, M. Srinivasarao, and H.-T. Jung, Macroscopic alignment of chromonic liquid crystals using patterned substrates, Phys. Chem. Chem. Phys. 18, 10362 (2016).
- D. W. Berreman, Solid surface shape and the alignment of an adjacent nematic liquid crystal, Phys. Rev. Lett. 28, 1683 (1972).
- G. Babakhanova and O. D. Lavrentovich, The techniques of surface alignment of liquid crystals, in Modern Problems of the Physics of Liquid Systems, edited by L. A. Bulavin and L. Xu (Springer International Publishing, Cham, 2019), pp. 165–197.
- Y.-K. Kim, S. V. Shiyanovskii, and O. D. Lavrentovich, Morphogenesis of defects and tactoids during isotropic–nematic phase transition in self-assembled lyotropic chromonic liquid crystals, J. Phys.: Condens. Matter 25, 404202 (2013).
- E. I. L. Jull, G. Campos-Villalobos, Q. Tang, M. Dijkstra, and L. Tran, Curvature-directed anchoring and defect structure of colloidal smectic liquid crystals in confinement, PNAS Nexus 3, pgae470 (2024).
- M. A. Bates and D. Frenkel, Phase behavior of two-dimensional hard rod fluids, J. Chem. Phys. 112, 10034 (2000).
- I. C. Gârlea, P. Mulder, J. Alvarado, O. Dammone, D. G. A. L. Aarts, M. P. Lettinga, G. H. Koenderink, and B. M. Mulder, Finite particle size drives defect-mediated domain structures in strongly confined colloidal liquid crystals, Nat. Commun. 7, 12112 (2016).
- J. Everts, M. Punter, S. Samin, P. van der Schoot, and R. van Roij, A Landau-de Gennes theory for hard colloidal rods: Defects and tactoids, J. Chem. Phys. 144, 194901 (2016).
- A. Kuijk, A. van Blaaderen, and A. Imhof, Synthesis of monodisperse, rodlike silica colloids with tunable aspect ratio, J. Am. Chem. Soc. 133, 2346 (2011).
- A. Kuijk, A. Imhof, M. H. W. Verkuijlen, T. H. Besseling, E. R. H. van Eck, and A. van Blaaderen, Colloidal silica rods: Material properties and fluorescent labeling, Part. Part. Syst. Charact. 31, 706 (2014).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/wbbt-w9nm for videos of the experimental and simulation results.
- COMSOL AB, Stockholm, Sweden, COMSOL multiphysics®, 2024, https://www.comsol.com/.
- D. A. King and R. D. Kamien, What promotes smectic order: Applying mean-field theory to the ends, Phys. Rev. E 107, 064702 (2023).
- D. de las Heras, E. Velasco, and L. Mederos, Topological defects in a two-dimensional liquid crystal confined in a circular nanocavity, Phys. Rev. E 79, 061703 (2009).
- X. Yao, L. Zhang, and J. Z. Y. Chen, Defect patterns of two-dimensional nematic liquid crystals in confinement, Phys. Rev. E 105, 044704 (2022).
- A. Martinez, H. C. Mireles, and I. I. Smalyukh, Large-area optoelastic manipulation of colloidal particles in liquid crystals using photoresponsive molecular surface monolayers, Proc. Natl. Acad. Sci. USA 108, 20891 (2011).
- Ž. Kos and J. Dunkel, Nematic bits and universal logic gates, Sci. Adv. 8, eabp8371 (2022).
- M. Warner and E. M. Terentjev, Liquid Crystal Elastomers (Oxford University Press, Oxford, 2003).
- W. Feng, D. J. Broer, and D. Liu, Oscillating chiral-nematic fingerprints wipe away dust, Adv. Mater. 30, 1704970 (2018).
- J. Peixoto, D. Hall, D. J. Broer, I. I. Smalyukh, and D. Liu, Mechanical actuation via homeomorphic transformations of topological solitons within polymer coatings, Adv. Mater. 36, 2308425 (2024).
- G. Campos-Villalobos, A. Matias, E. Jull, L. Tran, and M. Dijkstra, Shaping Boundaries to Control and Transport Topological Defects in Colloidal Nematic Liquid Crystals, Zenodo, 2026, https://doi.org/10.5281/zenodo.19846577
- C. Vega and S. Lago, A fast algorithm to evaluate the shortest distance between rods, Comput. Chem. 18, 55 (1994).
- N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, Equation of state calculations by fast computing machines, J. Chem. Phys. 21, 1087 (1953).