Defect absorption and emission for $p$-atic liquid crystals on cones
Farzan Vafa,
Grace H. Zhang,
David R. Nelson
Abstract:We investigate the ground state configurations of p-atic liquid crystals on fixed curved surfaces. We focus on the intrinsic geometry and show that isothermal coordinates are particularly convenient as they explicitly encode a geometric contribution to the elastic potential. In the special case of a cone with half-angle β, the apex develops an effective topological charge of −χ, where 2πχ = 2π(1−sin β) is the deficit angle of the cone, and a topological defect of charge σ behaves as if it had an effective topo… Show more
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