期刊
JOURNAL OF APPLIED PHYSICS
卷 116, 期 23, 页码 -出版社
AMER INST PHYSICS
DOI: 10.1063/1.4904845
关键词
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资金
- National Key Research Program of China [2011ZX01015-001]
- National Basic Research Program of China (973 Program) [2011CBA00608, 2012CB619203]
- National Natural Science Foundation of China [61036010, 61177070, 11374295, U1431231]
A Lagrange-Hermite finite element method for the eight-band k center dot p model is developed. We demonstrate that besides the incompletion of k center dot p basis functions, the ill representation of first-order derivatives can also bend the conduction band structure down and lead to the highly oscillatory solutions. Our method simultaneously solves these two problems and achieves robust stability and high accuracy in real-space numerical calculation. The more physical asymmetric operator ordering is employed and the connection problem in abrupt interface is resolved by using an approximately abrupt interface. The situation of smooth interface used to explain the discrepancies between experiment and simulation of abrupt interface is also calculated by our method, and the result suggests that the influence of the interface smoothing should be considered in the short period superlattices or quantum structures of the narrow well. (C) 2014 AIP Publishing LLC.
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