Calculation of valence band structures of InAs/GaAs quantum ring 
and quantum dot: using numerical Fourier transform method

doi:10.1016/S1005-8885(09)60433-7

中国邮电高校学报(英文) ›› 2010, Vol. 17 ›› Issue (1): 106-110.doi: 10.1016/S1005-8885(09)60433-7

Calculation of valence band structures of InAs/GaAs quantum ring
and quantum dot: using numerical Fourier transform method

贾博雍,俞重远,刘玉敏,田宏达

Key Laboratory of Information Photonics and Optical Communications,
Ministry of Education, Beijing University of Posts and Telecommunications, Beijing 100876, China

收稿日期:2008-12-10 修回日期:1900-01-01 出版日期:2010-02-28
通讯作者: 贾博雍

Calculation of valence band structures of InAs/GaAs quantum ring
and quantum dot: using numerical Fourier transform method

JIA Bo-yong, YU Zhong-yuan, LIU Yu-min, TIAN Hong-da

Key Laboratory of Information Photonics and Optical Communications,
Ministry of Education, Beijing University of Posts and Telecommunications, Beijing 100876, China

Received:2008-12-10 Revised:1900-01-01 Online:2010-02-28
Contact: YU Zhong-yuan

摘要/Abstract

摘要：

This article puts forward a new method in calculating the band structures of low-dimensional semiconductor structures. In this study, the valence band structures of InAs/GaAs quantum ring and lens-shaped quantum dot are calculated with four-band model, in the framework of effective-mass envelope function theory. To determine the Hamiltonian matrix elements, this article develops the numerical Fourier transform method instead of the widely used analytical integral method. The valence band mixing is considered. The hole energy levels change dramatically with the geometrical parameters of the quantum ring and quantum dot. It is demonstrated that numerical Fourier transform method can be adopted in low-dimensional structures with any shape. The results of Fourier transform method are consistent with the ones of analytical integral in literature; and they are helpful for studying and fabricating optoelectronic devices.

关键词:

valence;band;structures,;quantum;ring,;quantum;dot,;numerical;Fourier;transform;

Abstract:

Key words:

valence band structures;quantum ring;quantum dot;numerical Fourier transform

JIA Bo-yong, YU Zhong-yuan, LIU Yu-min, TIAN Hong-da. Calculation of valence band structures of InAs/GaAs quantum ring
and quantum dot: using numerical Fourier transform method[J]. Acta Metallurgica Sinica(English letters), 2010, 17(1): 106-110.

参考文献

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Calculation of valence band structures of InAs/GaAs quantum ring
and quantum dot: using numerical Fourier transform method

Calculation of valence band structures of InAs/GaAs quantum ring
and quantum dot: using numerical Fourier transform method

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Calculation of valence band structures of InAs/GaAs quantum ring and quantum dot: using numerical Fourier transform method

Calculation of valence band structures of InAs/GaAs quantum ring and quantum dot: using numerical Fourier transform method

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Calculation of valence band structures of InAs/GaAs quantum ring
and quantum dot: using numerical Fourier transform method

Calculation of valence band structures of InAs/GaAs quantum ring
and quantum dot: using numerical Fourier transform method