磁场对二维量子环中电子基态能级的影响

doi:10.13190/jbupt.201003.84.033

北京邮电大学学报 ›› 2010, Vol. 33 ›› Issue (3): 84-87.doi: 10.13190/jbupt.201003.84.033

磁场对二维量子环中电子基态能级的影响

贾博雍, 刘玉敏, 赵伟, 俞重远，韩利红

（光通信与光电子学教育部重点实验室(北京邮电大学)，北京 100876）

收稿日期:2009-06-18 修回日期:2010-03-11 出版日期:2010-06-28 发布日期:2010-05-14
通讯作者: 俞重远 E-mail:yuzhongyuan30@gmail.com
基金资助:
国家高技术研究发展计划项目（2009AA03Z405）；北京邮电大学青年科研创新计划专项项目（BUPT2009RC0411）

The Influence of Magnetic Field on the Electron Ground State 
Energy of Two-Dimensional Quantum Ring

JIA Bo-yong, LIU Yu-min, ZHAO Wei, YU Zhong-yuan, HAN Li-hong

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

Received:2009-06-18 Revised:2010-03-11 Online:2010-06-28 Published:2010-05-14

摘要/Abstract

摘要：

为分析量子环纳米材料的电子结构特性，在有效质量包络函数理论框架内，通过求解单带薛

定谔方程，计算了在无磁场和有磁场时，InAs/GaAs二维量子环中电子的基态能级，分析了

能级随量子环内半径、外半径、平均半径和宽度的变化. 计算及分析结果表明，垂直于量子

环平面的磁场对提高电子基态能量有明显效果；此外，磁场还会减小能级对量子环外半径的

依赖关系，即当外半径超过某一临界值时，能级不再发生变化. 

关键词: 二维量子环, 电子, 基态能级, 磁场

Abstract:

In the framework of effective mass envelope function, by solving the single-band Schrdinger 

equation, the ground state energy level of two-dimensional InAs/GaAs quantum ring is

calculated both in the absence and the presence of the magnetic field to analyze the electronic

structure of quantum ring nanomaterials. The relationships between the energy level

and the inner radius, outer radius, average radius and width of the ring are analyzed. It is indicated

that the magnetic field perpendicular to the plane of the quantum ring will evidently increase the

ground state energy. Moreover, the magnetic field makes the dependence of the energy level on

outer radius of the ring weaker, i.e. the level will keep in changeless if the outer radius exceeds a

critical value.

Key words: twodimensional quantum ring, electron, ground state energy level, magnetic field

中图分类号:

TN304.02

贾博雍刘玉敏赵伟俞重远韩利红. 磁场对二维量子环中电子基态能级的影响[J]. 北京邮电大学学报, 2010, 33(3): 84-87.

JIA Bo-yong, LIU Yu-min, ZHAO Wei, YU Zhong-yuan, HAN Li-hong.

The Influence of Magnetic Field on the Electron Ground State 

Energy of Two-Dimensional Quantum Ring [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2010, 33(3): 84-87.

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磁场对二维量子环中电子基态能级的影响

The Influence of Magnetic Field on the Electron Ground State 
Energy of Two-Dimensional Quantum Ring

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