Crystallography on Curved Surfaces

Details Crystallography on Curved Surfaces Crystallography on Curved Surfaces

2006-04-07

arxiv.org/abs/cond-mat/0604203v1

Proceedings of the National Academy of Sciences, 103, 12323, 2006 (Free Article)

Physics

Condensed Matter

Soft Condensed Matter

12 Pages, 8 Figures

Scientific paper

10.1073/pnas.0602755103

We study static and dynamical properties that distinguish two dimensional crystals constrained to lie on a curved substrate from their flat space counterparts. A generic mechanism of dislocation unbinding in the presence of varying Gaussian curvature is presented in the context of a model surface amenable to full analytical treatment. We find that glide diffusion of isolated dislocations is suppressed by a binding potential of purely geometrical origin. Finally, the energetics and biased diffusion dynamics of point defects such as vacancies and interstitials is explained in terms of their geometric potential.

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