Hybridization of colloidal handlebodies with singular defects and topological solitons in chiral liquid crystals

Abstract

Topology can manifest itself in colloids when quantified by invariants like Euler characteristics of nonzero-genus colloidal surfaces, albeit spherical colloidal particles are most often studied, and colloidal particles with complex topology are rarely considered. On the other hand, singular defects and topological solitons often define the physical behavior of the molecular alignment director fields in liquid crystals. Interestingly, nematic liquid crystalline dispersions of colloidal particles allow for probing the interplay between topologies of surfaces and fields, but only a limited number of such cases have been explored so far. Here, we study the hybridization of topological solitons, singular defects, and topologically nontrivial colloidal particles with the genus of surfaces different from zero in a chiral nematic liquid crystal phase. Hybridization occurs when distortions separately induced by colloidal particles and LC solitons overlap, leading to energy minimization-driven redistribution of director field deformations and defects. As a result, hybrid director configurations emerge, combining topological features from both components. We uncover a host of director field configurations complying with topological theorems, which can be controlled by applying electric fields. Rotational and translational dynamics arise due to the nonreciprocal evolution of the director fields in response to alternating electric fields of different frequencies. These findings help define a platform for controlling topologically hyper-complex colloidal structures and dynamics with electrically reconfigurable singular defects and topological solitons induced by colloidal handlebodies.

arXiv comment28 pages, 8 figures, Accepted for publication in Soft Matter. Final published version available at https://doi.org/10.1039/d5sm00014a

References in corpus (19)

• Topological Defects and Interactions in Nematic Emulsions
• Topological colloids
• Liquid Crystal Colloids
• Static Hopf Solitons and Knotted Emergent Fields in Solid-State Noncentrosymmetric Magnetic Nanostructures
• Three-dimensional crystals of adaptive knots
• Nematic liquid crystal boojums with handles on colloidal handlebodies
• Liquid crystals boojum-colloids
• Nematic braids: topological invariants and rewiring of disclinations
• Schools of skyrmions with electrically tunable elastic interactions
• Surface anchoring as a control parameter for stabilizing torons, skyrmions, twisted walls, fingers and their hybrids in chiral nematics
• Hexadecapolar colloids
• Active shape-morphing elastomeric colloids in short-pitch cholesteric liquid crystals
• Colloidal topological insulators
• Topological carnival: electrically-powered motions of toron crystallites in chiral liquid crystals
• Geometric transformation and three-dimensional hopping of Hopf solitons
• Edge pinning and transformation of defect lines induced by faceted colloidal rings in nematic liquid crystals
• Colloidal Surfaces with Boundaries, Apex Boojums and Nested Elastic Self-Assembly of Nematic Colloids
• Topological nanocolloids with facile electric switching of plasmonic properties
• Chiral, Topological, and Knotted Colloids in Liquid Crystals