论文标题
第一原理衍生的有效质量近似,以改善量子纳米结构的描述
First-principles-derived effective mass approximation for the improved description of quantum nanostructures
论文作者
论文摘要
有效的质量近似(EMA)可能是对半导体纳米结构的计算研究的有效方法,其尺寸太大而无法通过第一原理计算来处理,但是准确,可靠地引入EMA参数的方案为给定的纳米结构引入了EMA参数,仍有尚待解释。在此,我们根据第一原理衍生的数据报告了EMA方法,该方法可以准确预测量子纳米结构的光电特性。对于CDS/ZNS核/壳量子杆,我们最近报告了其实验合成,我们首先对无限纳米线进行密度功能理论(DFT)计算,以获得纳米镜介电常数,有效的质量,有效的质量和Kohn-Sham势。然后将DFT衍生的数据转移到有限的纳米棒案例中,以设置EMA方程,我们从中估算了光致发光(PL)特征。与基于大量EMA参数和突然电势的相应方法相比,我们确认我们的EMA方法更准确地描述了纳米棒的PL属性。我们发现,与实验观察到的趋势一致,纳米棒的光学间隙大致由纳米直径确定,并且随着纳米棒长的增加而降低了PL强度。开发的方法还适用于CDSE纳米板片,在这些方法中,可靠的实验数据最近可用。在这里,我们再次获得了计算和测量的光学差距值之间的出色协议,从而确认了我们方法的通用性。最终表明,突然限制电位近似最不利影响EMA模拟的准确性。
The effective mass approximation (EMA) could be an efficient method for the computational study of semiconductor nanostructures with sizes too large to be handled by first-principles calculations, but the scheme to accurately and reliably introduce EMA parameters for given nanostructures remains to be devised. Herein, we report on an EMA approach based on first-principles-derived data, which enables accurate predictions of the optoelectronic properties of quantum nanostructures. For the CdS/ZnS core/shell quantum rods, for which we recently reported its experimental synthesis, we first carry out density functional theory (DFT) calculations for an infinite nanowire to obtain the nanoscopic dielectric constant, effective mass, and Kohn-Sham potential. The DFT-derived data are then transferred to the finite nanorod cases to set up the EMA equations, from which we estimate the photoluminescence (PL) characteristics. Compared with the corresponding method based on bulk EMA parameters and abrupt potential, we confirm that our EMA approach more accurately describes the PL properties of nanorods. We find that, in agreement with the experimentally observed trends, the optical gap of nanorods is roughly determined by the nanorod diameter and the PL intensity is reduced with increasing the nanorod length. The developed methodology is additionally applied to CdSe nanoplatelets, where reliable experimental data became recently available. Here, we again obtain excellent agreements between calculated and measured optical gap values, confirming the generality of our approach. It is finally shown that the abrupt confinement potential approximation most adversely affects the accuracy of EMA simulations.