Monte Carlo study of crystalline order and defects on weakly curved surfaces.

@article{Hexemer2007MonteCS,
  title={Monte Carlo study of crystalline order and defects on weakly curved surfaces.},
  author={Alexander Hexemer and Vincenzo Vitelli and Edward J. Kramer and Glenn H. Fredrickson},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2007},
  volume={76 5 Pt 1},
  pages={
          051604
        }
}
We numerically study the ground states of particles interacting via a repulsive Yukawa potential on two rigid substrates shaped as isolated and periodically arranged bumps characterized by a spatially varying Gaussian curvature. Below a critical aspect ratio that describes the substrate deformation, the lattice is frustrated, but defect free. A further increase of the aspect ratio triggers defect unbinding transitions that lower the total potential energy by introducing dislocations either in… Expand
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