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arXiv 1003.2611cond-mat.mtrl-sci
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应变外延膜中的形态不稳定性、演化和标度:相场晶体模型的振幅方程分析

Morphological instability, evolution, and scaling in strained epitaxial films: An amplitude equation analysis of the phase field crystal model

Zhi-Feng Huang, Ken Elder

摘要:

应变外延膜的形态学性质的研究通过一个介观的方法开发,将薄膜的晶体结构和标准的连续理论。膜表面轮廓和性质,如表面能,液-固相容性间隙和界面厚度,被确定为失配应变和膜弹性模量的函数。我们分析了应力驱动的膜表面形态的不稳定性,导致应变岛的形成。我们发现了一个普遍的岛的大小和失配应变之间的比例关系,这表明了一个交叉从著名的连续弹性结果在弱应变的行为由一个“完美的”晶格弛豫条件。交叉发生的应变被证明是一个功能的液-固界面厚度,并观察到拉伸和压缩应变之间的不对称性。膜的不稳定性被发现是伴随着模式耦合的复杂振幅的表面形态的轮廓,与应变膜的结晶性质,但在传统的连续理论缺席的一个因素。

英文摘要:

Morphological properties of strained epitaxial films are examined through a mesoscopic approach developed to incorporate both the film crystalline structure and standard continuum theory. Film surface profiles and properties, such as surface energy, liquid-solid miscibility gap and interface thickness, are determined as a function of misfit strains and film elastic modulus. We analyze the stress-driven instability of film surface morphology that leads to the formation of strained islands. We find a universal scaling relationship between the island size and misfit strain which shows a crossover from the well-known continuum elasticity result at the weak strain to a behavior governed by a "perfect" lattice relaxation condition. The strain at which the crossover occurs is shown to be a function of liquid-solid interfacial thickness, and an asymmetry between tensile and compressive strains is observed. The film instability is found to be accompanied by mode coupling of the complex amplitudes of the surface morphological profile, a factor associated with the crystalline nature of the strained film but absent in conventional continuum theory.

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