中国物理B ›› 2011, Vol. 20 ›› Issue (12): 120303-120303.doi: 10.1088/1674-1056/20/12/120303

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Energy level of an electron in a saddle-potential quantum dot under a uniform magnetic field obtained by the invariant eigenoperator method

谢传梅1, 范洪义2   

  1. (1)College of Physics and Material Science, Anhui University, Hefei 230039, China;Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China; (2)Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China
  • 收稿日期:2011-05-16 修回日期:2011-06-25 出版日期:2011-12-15 发布日期:2011-12-15
  • 基金资助:
    Project supported by the Doctoral Scientific Research Startup Fund of Anhui University, China (Grant No. 33190059), the National Natural Science Foundation of China (Grant No. 10874174), the President Foundation of the Chinese Academy of Sciences, and the Open Fund of the State Key Laboratory for Infrared Physics.

Energy level of an electron in a saddle-potential quantum dot under a uniform magnetic field obtained by the invariant eigenoperator method

Xie Chuan-Mei(谢传梅)a)b)† and Fan Hong-Yi(范洪义)b)   

  1. a College of Physics and Material Science, Anhui University, Hefei 230039, China; b Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China
  • Received:2011-05-16 Revised:2011-06-25 Online:2011-12-15 Published:2011-12-15
  • Supported by:
    Project supported by the Doctoral Scientific Research Startup Fund of Anhui University, China (Grant No. 33190059), the National Natural Science Foundation of China (Grant No. 10874174), the President Foundation of the Chinese Academy of Sciences, and the Open Fund of the State Key Laboratory for Infrared Physics.

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摘要： We show that the recently proposed invariant eigenoperator method can be successfully applied to solving the energy levels of an electron in a saddle-potential quantum dot under a uniform magnetic field. The Landau diamagnetism decreases with the value ωy2 - ωx2 due to the existence of the saddle potential.

关键词: saddle-potential quantum dot, energy level of electron, invariant eigenoperator method

Abstract: We show that the recently proposed invariant eigenoperator method can be successfully applied to solving the energy levels of an electron in a saddle-potential quantum dot under a uniform magnetic field. The Landau diamagnetism decreases with the value ωy2 - ωx2 due to the existence of the saddle potential.

Key words: saddle-potential quantum dot, energy level of electron, invariant eigenoperator method

中图分类号:  (Quantum mechanics)

  • 03.65.-w
73.63.Kv (Quantum dots)