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arXiv 0802.4456cond-mat.mtrl-scicond-mat.stat-mech
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弹性异质性和各向异性对自组装外延量子点形貌的影响

Effects of elastic heterogeneity and anisotropy on the morphology of self-assembled epitaxial quantum dots

Chandan Kumar, Lawrence H. Friedman

摘要:

外延自组装量子点(SAQD)是技术和基础利益,但其可靠的制造仍然提出了一个技术挑战。为了更好地理解外延自组装量子点(SAQD)的形成、形态和有序性,必须有一个精确的模型,以帮助进一步的实验和预测SAQD形成的趋势。SAQD的形成是由于弹性失配应变的失稳效应,但大多数SAQD形成的解析模型和一些数值模型要么假设弹性均匀各向异性膜-衬底系统,要么假设弹性非均匀各向同性系统。在这项工作中,我们执行完整的薄膜-衬底弹性计算。然后,我们将弹性计算到一个随机线性增长模型。我们发现,使用均匀的弹性可以导致误差的弹性能量密度高达26%,并为典型的建模参数导致的误差约11%的平均点间距的估计值。我们还量化了弹性异质性对SAQD阶估计的影响,并证实了以前的发现,通过在临界膜高度附近生长膜来增强阶的可能性。

英文摘要:

Epitaxial self-assembled quantum dots (SAQDs) are of both technological and fundamental interest, but their reliable manufacture still presents a technical challenge. To better understand the formation, morphology and ordering of epitaxial self-assembled quantum dots (SAQDs), it is essential to have an accurate model that can aid further experiments and predict the trends in SAQD formation. SAQDs form because of the destabilizing effect of elastic mismatch strain, but most analytic models and some numerical models of SAQD formation either assume an elastically homogeneous anisotropic film-substrate system or assume an elastically heterogeneous isotropic system. In this work, we perform the full film-substrate elastic calculation. Then we incorporate the elasticity calculation into a stochastic linear growth model. We find that using homogeneous elasticity can cause errors in the elastic energy density as large as 26%, and for typical modeling parameters lead to errors of about 11% in the estimated value of average dot spacing. We also quantify the effect of elastic heterogeneity on the order estimates of SAQDs and confirm previous finding on the possibility of order enhancement by growing a film near the critical film height.

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