Work

Crystallography on curved surfaces

Year: 2006

Type: article

Abstract: We study static and dynamical properties that distinguish 2D 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 are explained in terms of their geometric potential.

Source: Proceedings of the National Academy of Sciences

DOI: 10.1073/pnas.0602755103

Authors: Vincenzo Vitelli, J. B. Lucks, D. R. Nelson

Institutions: Harvard University, University of Pennsylvania

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Hertz Foundation, Harvard University, Division of Materials Research

OpenAlex ID: W2172007743

FWCI: 5.134

Cites: 29

Cited by: 143

Related to: 10