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Topological Rigidity and Non-Abelian defect junctions in chiral nematic systems with effective biaxial symmetry
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We study topologically stable defect structures in systems where the defect line classification in three dimensions and associated algebra of interactions (the fundamental group) are governed by the non-Abelian 8-element group, the quaternions Q_8. The non-Abelian character of the defect algebra leads to a topological rigidity of bound defect pairs, and trivalent junctions which are the building blocks of multi-junction trivalent networks. We realize such structures in laboratory chiral nematics and analyze their behavior analytically, along with numerical modeling.
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Cited by 2 Pith papers
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Fusion and Fission of Particle-like Chiral Nematic Vortex Knots
Electrically pulsed vortex knots in a chiral liquid crystal undergo reversible fusion and fission, conserving the Hopf index and realizing connected sums of knots.
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Emergent dimer-model topological order and quasi-particle excitations in liquid crystals: combinatorial vortex lattices
Photopatterned liquid crystal vortex lines realize rewritable dimer-model topological order with charged quasi-particle excitations.
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