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arXiv 1004.1480cond-mat.mtrl-scicond-mat.mes-hall
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有限迁移率外延生长模型中晶格诱导拓扑电流引起的生长不稳定性

Growth instability due to lattice-induced topological currents in limited mobility epitaxial growth models

Wittawat Kanjanaput, Surachate Limkumnerd, Patcha Chatraphorn

摘要:

能量驱动的Ehrlich-Schwoebel(ES)势垒是导致分子束外延(MBE)生长薄膜表面出现准规则丘状结构的主要原因。最近提出的第二种机制的土堆形成的拓扑诱导通量的颗粒起源于线张力的步骤边缘,形成周围的土堆的轮廓线。通过大规模的模拟MBE生长在各种晶格平面上使用有限的流动性,固体对固体模型介绍的Wolf-Villain和Das Sarma-Tamborenea在2+1维,我们提出了另一种类型的拓扑上坡粒子电流,这是独特的一些晶格,迄今被忽视的文献。没有ES屏障,我们的模拟产生壮观的土堆非常相似,在某些情况下,在许多最近的MBE实验中观察到的。在这些电流不再存在的晶格上,表面似乎是尺度不变的,统计粗糙,如传统的连续增长方程所预测的。

英文摘要:

The energetically driven Ehrlich-Schwoebel (ES) barrier had been generally accepted as the primary cause of the growth instability in the form of quasi-regular mound-like structures observed on the surface of thin film grown via molecular beam epitaxy (MBE) technique. Recently the second mechanism of mound formation was proposed in terms of a topologically induced flux of particles originating from the line tension of the step edges which form the contour lines around a mound. Through large-scale simulations of MBE growth on a variety of crystalline lattice planes using limited mobility, solid-on-solid models introduced by Wolf-Villain and Das Sarma-Tamborenea in 2+1 dimensions, we propose yet another type of topological uphill particle current which is unique to some lattice, and has hitherto been overlooked in the literature. Without ES barrier, our simulations produce spectacular mounds very similar, in some cases, to what have been observed in many recent MBE experiments. On a lattice where these currents cease to exist, the surface appears to be scale-invariant, statistically rough as predicted by the conventional continuum growth equation.

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