Akutsu Noriko, Kangawa Yoshihiro
Research Institute for Applied Mechanics, Kyushu University, 6-1 Kasuga-koen, Kasuga, Fukuoka, 816-8580, Japan.
Faculty of Engineering, Osaka Electro-Communication University, Hatsu-cho, Neyagawa, Osaka, 572-8530, Japan.
Sci Rep. 2024 Nov 29;14(1):29662. doi: 10.1038/s41598-024-79380-5.
Kinetic roughening of the (001) singular surface during steady crystal growth is studied on the basis of a lattice model using the Monte Carlo method. At a sufficiently low temperature, there are known to be two kinetic roughening points as the driving force for crystal growth increases. At a low driving force , there is the Karder-Parisi-Zhang (KPZ) roughening transition point. On the KPZ rough surface, elementary steps around islands are well defined though the surface is thermodynamically rough, with a roughness exponent consistent with the KPZ universal value of 0.3869. Island-on-island structures were found to be crucial in forming the KPZ rough surface. To understand the effects of the atomical roughness of the (001) surface and the interplay of steps on long-period undulations on this surface, the dependence on the temperature T and driving force for crystal growth of surface quantities is investigated. At higher temperatures, additional Berezinskii-Kosterlitz-Thouless (BKT) rough and re-entrant KPZ regions are found for large , where the crystal surface grows adhesively. A T- kinetic roughening diagram is also presented.
基于晶格模型，采用蒙特卡罗方法研究了稳态晶体生长过程中(001)奇异表面的动力学粗糙化。在足够低的温度下，已知随着晶体生长驱动力的增加会出现两个动力学粗糙化点。在低驱动力时，存在 Karder-Parisi-Zhang（KPZ）粗糙化转变点。在 KPZ 粗糙表面上，尽管表面在热力学上是粗糙的，但岛周围的基本台阶定义明确，粗糙度指数与 KPZ 通用值 0.3869 一致。发现岛-岛结构对于形成 KPZ 粗糙表面至关重要。为了理解(001)表面的原子粗糙度以及台阶对该表面长周期起伏的相互作用的影响，研究了表面量对温度 T 和晶体生长驱动力的依赖性。在较高温度下，对于较大的驱动力，发现了额外的 Berezinskii-Kosterlitz-Thouless（BKT）粗糙和再入 KPZ 区域，此时晶体表面粘附生长。还给出了 T-驱动力动力学粗糙化图。
