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Self-assembly and electrostriction of arrays and chains of hopfion particles in chiral liquid crystals

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Electromagnetic knots
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Geometrical frustration and defects in condensed matter systems
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Winding Hopfions on R2×S1
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3D skyrmion and knot in two-component Bose–Einstein condensates
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Torus knots as Hopfions
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Static and dynamic properties of cholesteric fingers in electric field
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Principles of Optics
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Toward a Tetravalent Chemistry of Colloids
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Persistent tangled vortex rings in generic excitable media
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Ball lightning an electromagnetic knot?
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Spontaneous skyrmion ground states in magnetic metals
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Spontaneous motion in hierarchically assembled active matter
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Topological colloids
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Quasi-two-dimensional Skyrmion lattices in a chiral nematic liquid crystal
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Assembly and control of 3D nematic dipolar colloidal crystals
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Self-assembly of colloid-cholesteric composites provides a possible route to switchable optical materials
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Three-dimensional structure and multistable optical switching of triple-twisted particle-like excitations in anisotropic fluids
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Isolated optical vortex knots
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Creation and dynamics of knotted vortices
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Laser-directed hierarchical assembly of liquid crystal defects and control of optical phase singularities
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Electrically variable diffraction in spherulitic liquid crystals
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Principles of Condensed Matter Physics
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Multiple chiral topological states in liquid crystals from unstructured light beams
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3-sphere fibrations: a tool for analyzing twisted materials in condensed matter
inferredcites →https://doi.org/10.1103/physrevb.47.16419openalex-snapshot
Skyrmions and the crossover from the integer to fractional quantum Hall effect at small Zeeman energies
inferredcites →https://doi.org/10.1103/physrevb.76.184439openalex-snapshot
Vortex rings in ferromagnets: Numerical simulations of the time-dependent three-dimensional Landau-Lifshitz equation
inferredcites →https://doi.org/10.1103/physreve.86.021703openalex-snapshot
Optical generation of crystalline, quasicrystalline, and arbitrary arrays of torons in confined cholesteric liquid crystals for patterning of optical vortices in laser beams
inferredcites →https://doi.org/10.1103/physreve.87.032503openalex-snapshot
Optical generation, templating, and polymerization of three-dimensional arrays of liquid-crystal defects decorated by plasmonic nanoparticles
inferredcites →https://doi.org/10.1103/physreve.89.060502openalex-snapshot
Self-assembly of skyrmion-dressed chiral nematic colloids with tangential anchoring
inferredcites →https://doi.org/10.1103/physreve.90.012505openalex-snapshot
Two-dimensional skyrmions and other solitonic structures in confinement-frustrated chiral nematics
inferredcites →https://doi.org/10.1103/physreve.90.042502openalex-snapshot
Theory of skyrmion states in liquid crystals
inferredcites →https://doi.org/10.1103/physrevlett.100.180403openalex-snapshot
Knots in a Spinor Bose-Einstein Condensate
inferredcites →https://doi.org/10.1103/physrevlett.110.228101openalex-snapshot
Defect Annihilation and Proliferation in Active Nematics
inferredcites →https://doi.org/10.1103/physrevlett.110.237801openalex-snapshot
Generating the Hopf Fibration Experimentally in Nematic Liquid Crystals
inferredcites →https://doi.org/10.1103/physrevlett.81.4798openalex-snapshot
Knots as Stable Soliton Solutions in a Three-Dimensional Classical Field Theory
inferredcites →https://doi.org/10.1103/physrevlett.82.1554openalex-snapshot
Propagating Magnetic Vortex Rings in Ferromagnets
inferredcites →https://doi.org/10.1103/revmodphys.61.385openalex-snapshot
Crystalline liquids: the blue phases
inferredcites →https://doi.org/10.1103/revmodphys.65.851openalex-snapshot
Pattern formation outside of equilibrium
inferredcites →https://doi.org/10.1103/revmodphys.84.497openalex-snapshot
Colloquium : Disclination loops, point defects, and all that in nematic liquid crystals
inferredcites →https://doi.org/10.1109/cleopr.2007.4391162openalex-snapshot
Optics of Liquid Crystal Displays
inferredcites →https://doi.org/10.1126/science.1166767openalex-snapshot
Skyrmion Lattice in a Chiral Magnet
inferredcites →https://doi.org/10.1126/science.1205705openalex-snapshot
Reconfigurable Knots and Links in Chiral Nematic Colloids
inferredcites →https://doi.org/10.1126/science.1209997openalex-snapshot
A Self-Quenched Defect Glass in a Colloid-Nematic Liquid Crystal Composite
inferredcites →https://doi.org/10.1126/science.275.5307.1770openalex-snapshot
Novel Colloidal Interactions in Anisotropic Fluids
inferredcites →https://doi.org/10.1134/s0021364009190102openalex-snapshot
Dynamical toroidal Hopfions in a ferromagnet with easy-axis anisotropy
inferredcites →https://doi.org/10.1140/epje/i2008-10313-8openalex-snapshot
A geometrical template for toroidal aggregates of chiral macromolecules
inferredcites →https://doi.org/10.1140/epje/i2008-10353-0openalex-snapshot
Electrically tunable diffraction of light from 2D nematic colloidal crystals
inferredcites →https://doi.org/10.1364/oe.18.027658openalex-snapshot
Three dimensional optical manipulation and structural imaging of soft materials by use of laser tweezers and multimodal nonlinear microscopy
inferredcites →https://doi.org/10.1364/ol.35.003447openalex-snapshot
Multimodal nonlinear optical polarizing microscopy of long-range molecular order in liquid crystals

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Three-Dimensional Topological Toron Domains in Magnetic Nanoparticles: A Micromagnetic Simulation
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Light‐Driven Electrohydrodynamic Instabilities in Liquid Crystals
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An Electrically Tunable Dual‐Mode Laser Based on Self‐Assembled Soft Photonic Liquid Crystals
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Fabrication of Arrays of Topological Solitons in Patterned Chiral Liquid Crystals for Real‐Time Observation of Morphogenesis
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Seeding and Emergence of Composite Skyrmions in a van der Waals Magnet
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Periodic Planar‐Homeotropic Anchoring Realized by Photoalignment for Stabilization of Chiral Superstructures
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Cholesteric Liquid Crystal Materials for Tunable Diffractive Optics
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Photoaligned Chiral Liquid Crystal Grating with Hysteresis Switching
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Thermal Control of Concentric Topographies Patterned by Dynamic Electro‐Templated Generated Chiral Solitonic Structures
inferred← citeshttps://doi.org/10.1002/apxr.202400153openalex-snapshot
3D Topological Toron‐Like Domains in Magnetic Nanoparticles: A Micromagnetic Simulation
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Multiple Optical States of Bioinspired Electro‐Responsive Cholesteric Liquid Crystal Materials
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Dynamic Spirals of Nanoparticles in Light‐Responsive Polygonal Fields
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A coupled Ericksen/Allen–Cahn model for liquid crystal droplets
inferred← citeshttps://doi.org/10.1016/j.cej.2018.11.193openalex-snapshot
Bionic SiO2@Fc(COCH3)2 core-shell nanostructure for enhancing the electrochromic properties of ferrocene
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Directing and reconfiguring colloidal assembly by disclination networks in nematic liquid crystal as templates
inferred← citeshttps://doi.org/10.1016/j.jcp.2017.09.035openalex-snapshot
The Ericksen model of liquid crystals with colloidal and electric effects
inferred← citeshttps://doi.org/10.1016/j.physletb.2025.139805openalex-snapshot
Glueballonia as Hopfions
inferred← citeshttps://doi.org/10.1021/acsnano.5b05715openalex-snapshot
Plasmon–Exciton Interactions Probed Using Spatial Coentrapment of Nanoparticles by Topological Singularities
inferred← citeshttps://doi.org/10.1038/nmat4826openalex-snapshot
Static three-dimensional topological solitons in fluid chiral ferromagnets and colloids
inferred← citeshttps://doi.org/10.1038/nphys4245openalex-snapshot
Spontaneous formation and dynamics of half-skyrmions in a chiral liquid-crystal film
inferred← citeshttps://doi.org/10.1038/s41467-017-00659-5openalex-snapshot
Squirming motion of baby skyrmions in nematic fluids
inferred← citeshttps://doi.org/10.1038/s41467-019-12723-3openalex-snapshot
Schools of skyrmions with electrically tunable elastic interactions
inferred← citeshttps://doi.org/10.1038/s41467-023-40335-5openalex-snapshot
Topological solitonic macromolecules
inferred← citeshttps://doi.org/10.1038/s41566-023-01360-4openalex-snapshot
Non-local skyrmions as topologically resilient quantum entangled states of light
inferred← citeshttps://doi.org/10.1038/s41567-019-0476-xopenalex-snapshot
Two-dimensional skyrmion bags in liquid crystals and ferromagnets
inferred← citeshttps://doi.org/10.1038/s41598-017-16241-4openalex-snapshot
Topology-commanded optical properties of bistable electric-field-induced torons in cholesteric bubble domains
inferred← citeshttps://doi.org/10.1038/s41598-018-35514-0openalex-snapshot
Liquid-crystalline half-Skyrmion lattice spotted by Kossel diagrams
inferred← citeshttps://doi.org/10.1038/s41598-019-56791-3openalex-snapshot
Current-induced shuttlecock-like movement of non-axisymmetric chiral skyrmions
inferred← citeshttps://doi.org/10.1038/s41598-024-83294-7openalex-snapshot
Liquid crystal torons in Poiseuille-like flows
inferred← citeshttps://doi.org/10.1038/s41598-025-26286-5openalex-snapshot
Comprehensive assessment of atmospheric interactions between Criegee intermediate and simplest Imine (CH2NH) in gas and aqueous phase environments
inferred← citeshttps://doi.org/10.1038/s42005-020-0288-4openalex-snapshot
Dynamics of electrically driven solitons in nematic and cholesteric liquid crystals
inferred← citeshttps://doi.org/10.1038/srep10845openalex-snapshot
Superior electro-optic response in multiferroic bismuth ferrite nanoparticle doped nematic liquid crystal device
inferred← citeshttps://doi.org/10.1039/c5sm01726bopenalex-snapshot
Electric field generation of Skyrmion-like structures in a nematic liquid crystal
inferred← citeshttps://doi.org/10.1039/c6sm01190jopenalex-snapshot
Cholesteric liquid crystals in rectangular microchannels: skyrmions and stripes
inferred← citeshttps://doi.org/10.1039/c9sm02033kopenalex-snapshot
Topological solitons, cholesteric fingers and singular defect lines in Janus liquid crystal shells
inferred← citeshttps://doi.org/10.1039/d0sm00676aopenalex-snapshot
Dynamic dissipative solitons in nematics with positive anisotropies
inferred← citeshttps://doi.org/10.1039/d2sm01347aopenalex-snapshot
Topological phases and curvature-driven pattern formation in cholesteric shells
inferred← citeshttps://doi.org/10.1039/d3sm01422copenalex-snapshot
Particle-based model of liquid crystal skyrmion dynamics
inferred← citeshttps://doi.org/10.1039/d4sm01008fopenalex-snapshot
Thermotropic reentrant isotropy and induced smectic antiferroelectricity in the ferroelectric nematic realm: comparing RM734 and DIO
inferred← citeshttps://doi.org/10.1063/1.4954709openalex-snapshot
Projection of phase singularities in moiré fringe onto a light field
inferred← citeshttps://doi.org/10.1063/1.5085282openalex-snapshot
Topological states in chiral active matter: Dynamic blue phases and active half-skyrmions
inferred← citeshttps://doi.org/10.1063/5.0072349openalex-snapshot
Spin excitation spectrum of a magnetic hopfion
inferred← citeshttps://doi.org/10.1063/5.0121314openalex-snapshot
Interaction between magnon and skyrmion: Toward quantum magnonics
inferred← citeshttps://doi.org/10.1073/pnas.2102926118openalex-snapshot
Layering transitions and metastable structures of cholesteric liquid crystals in cylindrical confinement
inferred← citeshttps://doi.org/10.1073/pnas.2107241118openalex-snapshot
Hierarchical self-assembly of polydisperse colloidal bananas into a two-dimensional vortex phase
inferred← citeshttps://doi.org/10.1073/pnas.2405168121openalex-snapshot
Command of three-dimensional solitary waves via photopatterning
inferred← citeshttps://doi.org/10.1073/pnas.2424917122openalex-snapshot
Thermotropic reentrant isotropic symmetry and induced smectic antiferroelectricity in the ferroelectric nematic material RM734
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Two-dimensional, blue phase tactoids
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Nematic liquid crystal gyroids as photonic crystals
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Ray optics simulations of polarised microscopy textures in chiral nematic droplets
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Computing equilibrium states of cholesteric liquid crystals in elliptical channels with deflation algorithms
inferred← citeshttps://doi.org/10.1080/02678292.2023.2169871openalex-snapshot
Theory of elastic interaction between axially symmetric 3D skyrmions in confined chiral nematic liquid crystals and in skyrmion bags
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Topological solitons in chiral liquid crystals
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Hopfions, heliknotons, skyrmions, torons and both abelian and nonabelian vortices in chiral liquid crystals
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Imaging three-dimensional magnetic systems with x-rays
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Plasmonic reflection color filters with metallic random nanostructures
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Review: knots and other new topological effects in liquid crystals and colloids
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Thick liquid crystalline cholesteric shells
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Multiscale geometrical and topological learning in the analysis of soft matter collective dynamics
inferred← citeshttps://doi.org/10.1103/gy6m-m7ckopenalex-snapshot
Topological transition from a hopfion to a toron via flexoelectric self-polarization in chiral liquid crystals
inferred← citeshttps://doi.org/10.1103/lhxc-1z9copenalex-snapshot
Photonic Shankar Skyrmion
inferred← citeshttps://doi.org/10.1103/physrevapplied.15.054023openalex-snapshot
Electrically Driven Formation and Dynamics of Skyrmionic Solitons in Chiral Nematics
inferred← citeshttps://doi.org/10.1103/physrevb.107.184432openalex-snapshot
Magnon dynamics in a skyrmion-textured domain wall of antiferromagnets
inferred← citeshttps://doi.org/10.1103/physrevb.95.245428openalex-snapshot
Spin-valley skyrmions in graphene at filling factor ν=−1
inferred← citeshttps://doi.org/10.1103/physrevb.98.054404openalex-snapshot
Homogeneous and heterogeneous nucleation of skyrmions in thin layers of cubic helimagnets
inferred← citeshttps://doi.org/10.1103/physrevb.98.174437openalex-snapshot
Binding a hopfion in a chiral magnet nanodisk
inferred← citeshttps://doi.org/10.1103/physrevb.99.214412openalex-snapshot
Nonlinear emergent elasticity and structural transitions of a skyrmion crystal under uniaxial distortion
inferred← citeshttps://doi.org/10.1103/physrevd.105.105006openalex-snapshot
Relations among topological solitons
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Effects of chiral dopants on double-twist configurations of lyotropic chromonic liquid crystals in a cylindrical cavity
inferred← citeshttps://doi.org/10.1103/physreve.100.052703openalex-snapshot
Helicoids in chiral liquid crystals under external fields
inferred← citeshttps://doi.org/10.1103/physreve.101.042702openalex-snapshot
Surface anchoring as a control parameter for stabilizing torons, skyrmions, twisted walls, fingers, and their hybrids in chiral nematics
inferred← citeshttps://doi.org/10.1103/physreve.93.042708openalex-snapshot
Energy surface and minimum energy paths for Fréedericksz transitions in bistable cholesteric liquid crystals
inferred← citeshttps://doi.org/10.1103/physreve.93.052702openalex-snapshot
Reversal of helicoidal twist handedness near point defects of confined chiral liquid crystals
inferred← citeshttps://doi.org/10.1103/physreve.96.012708openalex-snapshot
Theory of helicoids and skyrmions in confined cholesteric liquid crystals
inferred← citeshttps://doi.org/10.1103/physreve.97.040702openalex-snapshot
Harmonic field in knotted space
inferred← citeshttps://doi.org/10.1103/physreve.97.052701openalex-snapshot
Dynamics of topological solitons, knotted streamlines, and transport of cargo in liquid crystals
inferred← citeshttps://doi.org/10.1103/physrevfluids.1.023303openalex-snapshot
Porous nematic microfluidics for generation of umbilic defects and umbilic defect lattices
inferred← citeshttps://doi.org/10.1103/physrevlett.115.097802openalex-snapshot
Ferromagnetic Switching of Knotted Vector Fields in Liquid Crystal Colloids
inferred← citeshttps://doi.org/10.1103/physrevlett.128.027801openalex-snapshot
Cholesteric Shells: Two-Dimensional Blue Fog and Finite Quasicrystals
inferred← citeshttps://doi.org/10.1103/physrevresearch.3.l012005openalex-snapshot
Alignment-induced reconfigurable walls for patterning and assembly of liquid crystal skyrmions
inferred← citeshttps://doi.org/10.1103/physrevx.10.031042openalex-snapshot
Control of Light by Topological Solitons in Soft Chiral Birefringent Media
inferred← citeshttps://doi.org/10.1103/physrevx.7.011006openalex-snapshot
Diversity of Knot Solitons in Liquid Crystals Manifested by Linking of Preimages in Torons and Hopfions
inferred← citeshttps://doi.org/10.1103/q6vl-2hkvopenalex-snapshot
Programmable collective motion of polar solitons in chiral liquid crystals
inferred← citeshttps://doi.org/10.1103/rr4k-x9m5openalex-snapshot
Construction of hopfion crystals
inferred← citeshttps://doi.org/10.1103/s3vd-brsnopenalex-snapshot
Tying Knots in Particle Physics
inferred← citeshttps://doi.org/10.1117/1.ap.5.1.015001openalex-snapshot
Topological transformation and free-space transport of photonic hopfions
inferred← citeshttps://doi.org/10.1117/12.2079096openalex-snapshot
Nematic topological line defects as optical waveguides
inferred← citeshttps://doi.org/10.1117/12.2214550openalex-snapshot
Photonic crystals, light manipulation, and imaging in complex nematic structures
inferred← citeshttps://doi.org/10.1117/12.2507520openalex-snapshot
Theoretical study on optical properties of liquid crystalline Skyrmion lattice
inferred← citeshttps://doi.org/10.1126/sciadv.adj9373openalex-snapshot
Field-controlled dynamics of skyrmions and monopoles
inferred← citeshttps://doi.org/10.1134/s1062873824710237openalex-snapshot
Electric Field-Induced Dynamics of Topological Loops in Chiral Nematic Liquid Crystal Droplets
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Gamma-Convergent Projection-Free Finite Element Methods for Nematic Liquid Crystals: The Ericksen Model
inferred← citeshttps://doi.org/10.1142/s0217984920503492openalex-snapshot
Sudden generation of anomalous anti-vortex states in a two-component superconductor
inferred← citeshttps://doi.org/10.1186/s43593-025-00102-zopenalex-snapshot
Structured light meets machine intelligence
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Higher topological index spaces in polarization optics
inferred← citeshttps://doi.org/10.1364/oe.26.001174openalex-snapshot
Reflection spectra and near-field images of a liquid crystalline half-Skyrmion lattice
inferred← citeshttps://doi.org/10.1364/oe.27.029055openalex-snapshot
Light-controlled skyrmions and torons as reconfigurable particles
inferred← citeshttps://doi.org/10.1364/oe.382845openalex-snapshot
Optically enriched and guided dynamics of active skyrmions
inferred← citeshttps://doi.org/10.1364/ol.40.004392openalex-snapshot
Photoswitchable and dye-doped bubble domain texture of cholesteric liquid crystals
inferred← citeshttps://doi.org/10.1364/ol.561669openalex-snapshot
Polarization-controlled orbital angular momentum of light passing through a cholesteric spherulite
inferred← citeshttps://doi.org/10.1364/optica.487989openalex-snapshot
Optical second-order skyrmionic hopfion
inferred← citeshttps://doi.org/10.3390/cryst10090840openalex-snapshot
Surface Stabilized Topological Solitons in Nematic Liquid Crystals
inferred← citeshttps://doi.org/10.3390/cryst12010094openalex-snapshot
Recent Progresses on Experimental Investigations of Topological and Dissipative Solitons in Liquid Crystals
inferred← citeshttps://doi.org/10.3390/cryst9110574openalex-snapshot
Thermo-Optical Generation of Particle-Like Structures in Frustrated Chiral Nematic Film
inferred← citeshttps://doi.org/10.3390/nano13212908openalex-snapshot
Dynamically Tunable Assemblies of Superparamagnetic Nanoparticles Stabilized with Liquid Crystal-like Ligands in Organic Thin Films
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A Finite Element Method for a Phase Field Model of Nematic Liquid Crystal Droplets
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On the energy of topological defect lattices
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