中山大学学报自然科学版 ›› 2010, Vol. 49 ›› Issue (3): 34-37.

• 研究论文 • 上一篇    下一篇

强磁场对中心放置正电荷的GaAs量子环能量的影响

惠萍   

  1. (广东第二师范学院 物理系,广东 广州 510303)
  • 收稿日期:2009-07-10 修回日期:1900-01-01 出版日期:2010-05-25 发布日期:2010-05-25

The Impact of Strong Magnetic Field on Energies of GaAs Quantum Ring with a Positive Charge Placed in the Center

HUI Ping   

  1. (Department of Physics, Guangdong University of Education, Guangzhou 510303, China)
  • Received:2009-07-10 Revised:1900-01-01 Online:2010-05-25 Published:2010-05-25

摘要: 利用B样条技术研究强磁场中GaAs量子环的能量和量子尺寸效应。计算结果表明: 强磁场下 (B>3T), 量子环的基态能量E1和库仑能的绝对值EC随着磁场强度B的增大而增大。对应不同角动量(m=-1,-2,-3),E1-B曲线的间距被放置在中心的正电荷的库仑场拉宽; 基态能量E1随量子环半径r0的变化曲线出现一个极小值位置r00,r00随着B的增加而减小。在不同磁场下的E1-r0曲线的间距被放置在中心的正电荷的库仑场拉近, 库仑能的绝对值EC随着r0的增大而线性减小; 基态能量E1随着谐振子势ω0的增大而增大。库仑场使不同角动量(m=-1,-2,-3)下的E1-ω0曲线出现交叉现象,能级次序发生了变化。库仑能的绝对值EC随ω0的增加而非线性减小。

关键词: B样条技术, 量子环, 基态能量

Abstract: The GaAs quantum ring energies and sizedependent effect are studied by Bspline technique in strong magnetic field. The calculated results show: In the strong magnetic field (B>3T), ground state energies E1 and absolute value of Coulomd energy EC increases with magnetic field strength 〖WTBX〗B〖WTBZ〗,and the distance between E1-B curves of different angular momentum(m=-1,-2,-3)are pulled apart by Coulomd field of positive charge placed in the center; As quantum ring radius r0 increase, every E1-r0 curve has a minimum position r00, which decreases as the magnetic field strengthB increasing, and the distance between E1-r0 curves in different magnetic field strength Bare pulled closely by Coulomd field of positive charge placed in the center; The absolute value of Coulomd energy EC decreases linearly as the magnetic field strength B increasing. The ground state energies E1increase with harmonic potential ω0, the E1-ω0 curves of different angular momentum(m=-1,-2,-3) cross each other under the impact of Coulomd field,which lead to a change of the energy levels in the order. The absolute value of Coulomd energy EC decreases nonlinearly as ω0 increasing.


Key words: Bspline technique, quantum ring, ground state energies

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