CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2013, Vol. 30 ›› Issue (3): 463-468.

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

ZHENG Wenli1, LI Shushen2, WANG Xuefeng2   

  1. 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

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

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