Shape Entropy of a Reconfigurable Ising Surface

Abstract

Disclinations in a 2D sheet create regions of Gaussian curvature whose inversion produces a reconfigurable surface with many distinct metastable shapes, as shown by molecular dynamics of a disclinated graphene monolayer. This material has a near-Gaussian "density of shapes" and an effectively antiferromagnetic interaction between adjacent cones. A $\sim 10$ nm patch has hundreds of distinct metastable shapes with tunable stability and topography on the size scale of biomolecules. As every conical disclination provides an Ising-like degree of freedom, we call this technique "Isigami".

arXiv comment6 Pages, 6 figures: Published in PRL August 26 2022. Supplementary is 15 pages, 12 figures. Ancillary files include simulation code and particle position files used by the code. Videos referenced in the paper are included with supplementary material published with PRL: they can also be reproduced by running included simulation code

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