From bell shapes to pyramids: A reduced continuum model for self-assembled quantum dot growth

被引：21

作者：

Korzec, M. D. ^{[1
]}

Evans, P. L. ^{[2
]}

机构：

[1] Weierstrass Inst Appl Anal & Stochast, D-10117 Berlin, Germany

[2] Humboldt Univ, Inst Math, D-10099 Berlin, Germany

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2010年 / 239卷 / 08期

关键词：

Anisotropic surface energy; Self-assembly of quantum dots; Small slope approximation; Stationary solutions; Coarsening; Linear stability analysis; FREE SOLID FILMS; MORPHOLOGICAL INSTABILITY; EVOLUTION; TRANSITION; SURFACE;

D O I：

10.1016/j.physd.2010.01.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A continuum model for the growth of self-assembled quantum clots that incorporates Surface diffusion, an elastically deformable substrate, wetting interactions and anisotropic surface energy is presented. Using a small slope approximation a thin-film equation for the Surface profile that describes faceted growth is derived. A linear stability analysis shows that anisotropy acts to destabilize the surface. It lowers the critical height of flat films and there exists an anisotropy strength above which all thicknesses are unstable. A numerical algorithm based on spectral differentiation is presented and simulations are carried out. These clearly show faceting of the growing islands and a power law coarsening behavior. (C) 2010 Elsevier B.V All rights reserved

引用

页码：465 / 474

页数：10

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