有限深抛物势量子环类氢杂质能级

计算物理 ›› 2013, Vol. 30 ›› Issue (3): 463-468.

有限深抛物势量子环类氢杂质能级

郑文礼¹, 李树深², 王雪峰²

1. 河北民族师范学院物理系, 承德 067000;
2. 中国科学院半导体研究所半导体超晶格国家重点实验室, 北京 100083

收稿日期:2012-08-16 修回日期:2012-12-10 出版日期:2013-05-25 发布日期:2013-05-25
作者简介:郑文礼(1968-),男,研究生,副教授,研究方向为低维半导体结构中电子、激子态,E-mail:zhengwenliheda@126.corn
基金资助:
国家自然科学基金(60521001);河北省教育厅自然科学研究指导项目(Z2010145);承德市财政局教育局基金(201112)资助项目

Energy Levels of Hydrogenic Impurities in Quantum Ring with Parabolic Potential of Finite Depth

ZHENG Wenli¹, LI Shushen², WANG Xuefeng²

1. Department of Physics, Hebei Normal College for Nationality, Chengde 067000, China;
2. National Laboratory for Superlattices and Microstructures, Institute of Semiconductors, Chinese Academy of Sciences, Beijing 100083, China

Received:2012-08-16 Revised:2012-12-10 Online:2013-05-25 Published:2013-05-25

摘要/Abstract

摘要： 在有效质量近似下,用微扰法研究InAs量子环内类氢杂质基态及低激发态的能级.受限势采用有限深抛物型势,在二维平面极坐标下,用薛定谔方程的解析解计算.数值结果显示:在抛物势平台区,类氢杂质能级不随电子径向坐标改变,并具有二维氢原子能级的特征;在有限深抛物势区,电子能级敏感地依赖于量子环半径,能级存在极小值,这是由于限制势采用抛物势的结果.如果减小环的半径,可以增加能级间距;简并能级发生分裂并且间距随半径增大而增大,第一激发态的简并没有消除,第二激发态的简并被部分地消除.本文结果对研究量子环的光跃迁及光谱结构有指导意义.

关键词: 有效质量, 简并微扰法, 量子环

Abstract: Energy levels of ground state and low-lying excited states of hydrogenic impurities in InAs quantum rings are investigated with effective mass approximation and perturbation method.It shows that energy levels of electron do not change with electronic radial coordinate.They have characteristics of two-dimensional hydrogen atom energy levels in parabolic potential platform area.Energy levels of electron are sensitively dependent on radius of the quantum ring.There exist a minimum on account of parabolic confinement potential in area of parabolic potential with finite depth.Degenerate energy levels of the first excited state for hydrogenic impurities are not relieved.As n ≥ 2 degenerate energy levels are split and energy spacings increase with increase of the radius.

Key words: effective mass, degenerate perturbation method, quantum ring

中图分类号:

O471.1

郑文礼, 李树深, 王雪峰. 有限深抛物势量子环类氢杂质能级[J]. 计算物理, 2013, 30(3): 463-468.

ZHENG Wenli, LI Shushen, WANG Xuefeng. Energy Levels of Hydrogenic Impurities in Quantum Ring with Parabolic Potential of Finite Depth[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2013, 30(3): 463-468.

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