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135 papers
Remembrances of Michael E. Fisher
David R. Nelson
This contribution will be published in '50 years of the renormalization group', dedicated to the memory of Michael E. Fisher, edited by Amnon Aharony, Ora Entin-Wohlman, David Huse…
Vibrations and tunneling of strained nanoribbons at finite temperature
Paul Z. Hanakata, Sourav S. Bhabesh, David Yllanes +2
Crystalline sheets (e.g., graphene and transition metal dichalcogenides) liberated from a substrate are a paradigm for materials at criticality because flexural phonons can fluctua…
Active topological defect absorption by a curvature singularity
Farzan Vafa, David R. Nelson, Amin Doostmohammadi
Using the Born-Oppenheimer approximation, we present a general description of topological defects dynamics in -atic materials on curved surfaces, and simplify it in the case of…
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…