Vitelli Vincenzo, Lucks J B, Nelson D R
Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104-6396, USA.
Proc Natl Acad Sci U S A. 2006 Aug 15;103(33):12323-8. doi: 10.1073/pnas.0602755103. Epub 2006 Aug 7.
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.
我们研究了二维晶体在弯曲衬底上的静态和动态特性，这些特性将其与处于平坦空间中的对应物区分开来。在一个适合进行完全解析处理的模型表面的背景下，提出了一种在高斯曲率变化时位错解离的一般机制。我们发现，孤立位错的滑移扩散受到纯几何起源的束缚势的抑制。最后，从几何势的角度解释了诸如空位和间隙原子等点缺陷的能量学和偏置扩散动力学。
