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Based on the k·p perturbation theory, the 6×6 Luttinger-Kohn Hamiltonian which include the heavy hole band, light hole band, the split-orbit splitting band mixing effect and strain effect is given. The 6×6 Luttinger-Kohn Hamiltonian is exactly calculated by using Matlab, with the numerical simulation, the conduction band structure, the valence band structure, and the envelope function at the center on Brillouin zone are obtained. The results indicate that introducing the strain makes the crystal distort, the symmetry of the crystal structure change, and furthermore the band structure of the material change, providing an effective band cutting tool. The research work is characterized as follows: a complete system model which considers all the effects, involving the band-gap, the band offset, and the band structure, is establish. The model is also suitable to calculation the band structures of other Ⅲ-Ⅴfamily semiconductor quantum wells., authors=HUA Lingling1, YANG Yang2, authorsList=HUA Lingling;YANG Yang, authorCompany=1. Basis Department, North China Institute of Science and Technology, Beijing 101601, China2. 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应变量子阱能带结构的数值分析
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科技导报
| 研究论文 2013,31(17): 33-36
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科技导报
|研究论文
2013
, 31
(17) :
33
-36
应变量子阱能带结构的数值分析
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华玲玲1, 杨阳2
作者信息
1. 华北科技学院基础部,北京 1016012. 华北科技学院计算机学院,北京 101601
Numerical Analysis on the Band Structure of Strained Quantum Wells
HUA Lingling1, YANG Yang2
Affiliations
1. Basis Department, North China Institute of Science and Technology, Beijing 101601, China2. Computer Department, North China Institute of Science and Technology, Beijing 101601, China
Taking strained quantum wells of InGaAs/GaAs as an example, the strain effect in the quantum well structure is discussed. Based on the k·p perturbation theory, the 6×6 Luttinger-Kohn Hamiltonian which include the heavy hole band, light hole band, the split-orbit splitting band mixing effect and strain effect is given. The 6×6 Luttinger-Kohn Hamiltonian is exactly calculated by using Matlab, with the numerical simulation, the conduction band structure, the valence band structure, and the envelope function at the center on Brillouin zone are obtained. The results indicate that introducing the strain makes the crystal distort, the symmetry of the crystal structure change, and furthermore the band structure of the material change, providing an effective band cutting tool. The research work is characterized as follows: a complete system model which considers all the effects, involving the band-gap, the band offset, and the band structure, is establish. The model is also suitable to calculation the band structures of other Ⅲ-Ⅴfamily semiconductor quantum wells.
Key words
band structure
/
strained quantum well
/
6×6 Luttinger-Kohn Hamiltonian
/
Matlab