Ground States of Crystalline Caps: Generalized Jellium on Curved Space.

  title={Ground States of Crystalline Caps: Generalized Jellium on Curved Space.},
  author={Siyu Li and Roya Zandi and Alex Travesset and Gregory M. Grason},
  journal={Physical review letters},
  volume={123 14},
We study the ground states of crystals on spherical surfaces. These ground states consist of positive disclination defects in structures spanning from flat and weakly curved caps to closed shells. Comparing two continuum theories and one discrete-lattice simulation, we first investigate the transition between defect-free caps to single-disclination ground states and show it to be continuous and symmetry breaking. Further, we show that ground states adopt icosahedral subgroup symmetries across… 

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