Jeong Hyeong-Chai
Department of Physics, Sejong University, Seoul 143-747, Korea.
Phys Rev Lett. 2007 Mar 30;98(13):135501. doi: 10.1103/PhysRevLett.98.135501. Epub 2007 Mar 26.
A local growth algorithm for a decagonal quasicrystal is presented. We show that a perfect Penrose tiling (PPT) layer can be grown on a decapod tiling layer by a three dimensional (3D) local rule growth. Once a PPT layer begins to form on the upper layer, successive 2D PPT layers can be added on top resulting in a perfect decagonal quasicrystalline structure in bulk with a point defect only on the bottom surface layer. Our growth rule shows that an ideal quasicrystal structure can be constructed by a local growth algorithm in 3D, contrary to the necessity of nonlocal information for a 2D PPT growth.
提出了一种用于十边形准晶体的局部生长算法。我们表明，通过三维（3D）局部规则生长，可以在十面体铺砌层上生长出完美的彭罗斯铺砌（PPT）层。一旦在上层开始形成PPT层，就可以在其顶部添加连续的二维PPT层，从而在整体上形成完美的十边形准晶体结构，仅在底部表面层存在一个点缺陷。我们的生长规则表明，理想的准晶体结构可以通过三维局部生长算法构建，这与二维PPT生长需要非局部信息的情况相反。
