期刊
JOURNAL OF COMPUTATIONAL ELECTRONICS
卷 7, 期 4, 页码 521-529出版社
SPRINGER
DOI: 10.1007/s10825-008-0262-y
关键词
Nanostructures; k.p; Strain; Finite elements; Bandstructure; Spurious solutions
资金
- Swiss National Science Foundation [200021-107932]
The k.p envelope function method is a popular tool for the study of electronic properties of III-V nanostructures. The equations are usually transferred to real-space and solved using standard numerical techniques. The powerful and flexible finite element method was seldom employed due to problems with spurious solutions. The method would be favorable for the calculation of electronic properties of large strained nanostructures as it allows a flexible representation of complex geometries. In this paper, we show our consistent implementation of the k.p envelope equations for nanostructures of any dimensionality. By including Burt-Foreman operator ordering and ensuring the ellipticity of the equations, we are able to calculate reliable and spurious solution free subband structures for the standard k.p 4x4, 6x6 and 8x8 models for zinc-blende and wurtzite crystals. We further show how to consistently include strain effects up to second order by means of the Pikus-Bir transformation. Finally, we analyze the performance of our implementation using benchmark examples.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据