A Single Step Behavior and Phase Transitions : the restricted SOS model and the BCSOS mode.

单步行为和相变：受限 SOS 模型和 BCSOS 模式。

• 批准号: 07640521
• 负责人: AKUTSU Noriko
• 金额: $ 0.96万
• 依托单位: Osaka Electro-Communication University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1995
• 资助国家: 日本
• 起止时间: 1995 至 1996
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07640521/
• 关键词: BCSOS model; RSOS model; two-dimensional Ising model; roughering Transition; kink energy; step tention; step stiffness; equilibrium crystal shape

1. We calculate a step tension and a step stiffness of the Si (100) surface, which is modeled by a two-dimensional (2D) Ising model and by a restricted solid-on-solid model (RSOS), by a numerical renormalization group method and by an extended random walk method. The results are consistent with the recent experimental values observed by LEEM (low energy electron microscopy) and STM (scanning tunneling microscopy) within the error of 10%.2. For 2D frustrated Ising models, we calculate interface quantities exactly by an extended random walk method, and, we show quasi-reentrant interface behaviors. We calculated step quantities of 2D lattice gas system modeled by {1010} surfaces of Wurtzite structure. At high external fields, the step shows quasi-reentrant behaviors. At zero field (the Ih ice), we estimate kink formation energy and a surface tension, which coincide with the ones obtained by experiments.3. By Monte Carlo simulations of nearest neighbor 2D Ising model, BCSOS (body-centered cubic solid-on-solid) model and RSOS model, we studied the temperature dependence of a single step fluctuation width, the distribution function of the "deformation", the n-th moments of the "deformation" near at the transition temperature.

1. 我们通过数值重正化计算 Si (100) 表面的阶跃张力和阶跃刚度，该表面由二维 (2D) Ising 模型和受限实体对实体模型 (RSOS) 建模组方法和扩展随机游走方法。结果与近期LEEM（低能电子显微镜）和STM（扫描隧道显微镜）观察到的实验值一致，误差在10%以内。2．对于二维受挫伊辛模型，我们通过扩展的随机游走方法精确计算界面量，并且展示了准重入界面行为。我们计算了以纤锌矿结构的{1010}表面为模型的二维晶格气体系统的阶跃量。在高外部场下，该步骤显示出准重入行为。在零场（Ih冰）下，我们估计了扭结形成能和表面张力，与实验得到的结果一致。 3．通过最近邻二维伊辛模型、BCOSS（体心立方固体对固体）模型和RSOS模型的蒙特卡罗模拟，研究了单步波动宽度的温度依赖性、“变形”的分布函数、接近转变温度的“变形”的第 n 个时刻。

项目成果

Noriko Akutsu: "Ambiguity of Anisotropic Interface Tension for Complex Crystals" J. Phys. Soc. Jpn.64. 736-756 (1995)

Noriko Akutsu：“复杂晶体各向异性界面张力的模糊性”J. Phys。

Noriko Akutsu: "Quasi-Reentrant Interface Behavior of Two-dimensional Flustrated Ising Model" J. Phys. Soc. Jpn.65・5. 1233-1242 (1996)

阿久津纪子：“二维扰动伊辛模型的准重入界面行为”J. Phys.Jpn.65・5（1996）

Koichi Sudoh, Tatsuo Yoshinobu, Hiroshi Iwasaki, Noriko Akutsu, Yasuhiro Akutsu and Takao Yamamoto: "Fluctuations of a Single Step and Surface Height on Vicinal Surfaces" J.Phys.Soc.Jpn.Vol.65, No.4. 988-991 (1996)

Koichi Sudoh、Tatsuo Yoshinobu、Hiroshi Iwasaki、Noriko Akutsu、Yasuhiro Akutsu 和 Takao Yamamoto：“单步波动和邻近表面上的表面高度”J.Phys.Soc.Jpn.Vol.65，No.4。

Noriko Akutsu and Yasuhiro Akutsu: "Quasi-Reentrant Interface Behavior Two-dimensional frustrated Ising Models" J.Phys.Soc.Jpn.Vol.65, No.5. 1233-1242 (1996)

Noriko Akutsu 和 Yasuhiro Akutsu：“准重入界面行为二维受挫伊辛模型”J.Phys.Soc.Jpn.Vol.65，No.5。

Noriko Akutsu and Yasuhiro Akutsu: "Ambiguity of Anisotropic Interface Tension for Complex Crystals" J.Phys.Soc.Jpn.Vol.64, No.3. 736-756 (1995)

Noriko Akutsu 和 Yasuhiro Akutsu：“复杂晶体各向异性界面张力的模糊性”J.Phys.Soc.Jpn.Vol.64，No.3。