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Curvature as an external field in mechanical antiferromagnets
Abigail Plummer, Paul Z. Hanakata, David R. Nelson
A puckered sheet is a freestanding crystalline membrane with an embedded array of bistable buckled units. Recent work has shown that the bistable units behave like spins in a two-d…
Defect absorption and emission for -atic liquid crystals on cones
Farzan Vafa, Grace H. Zhang, David R. Nelson
We investigate the ground state configurations of -atic liquid crystals on fixed curved surfaces. We focus on the intrinsic geometry and show that isothermal coordinates are par…
Fractional defect charges in -atic liquid crystals on cones
Grace H. Zhang, David R. Nelson
Conical surfaces, with a delta function of Gaussian curvature at the apex, are perhaps the simplest example of geometric frustration. We study two-dimensional liquid crystals with…