中国物理B ›› 2002, Vol. 11 ›› Issue (8): 812-816.doi: 10.1088/1009-1963/11/8/312

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Electronic structure of hexagonal quantum-disc clusters

罗莹1, 马本堃1, 刘承师1, 王立民2   

  1. (1)Department of Physics and Institute of Theoretical Physics, Beijing Normal University, Beijing 100875, China; (2)Department of Physics and Institute of Theoretical Physics, Beijing Normal University, Beijing 100875, China; College of Physics, Hebei Normal University, Shijiazhuang 050016, China
  • 收稿日期:2002-04-19 修回日期:2001-12-09 出版日期:2002-08-12 发布日期:2005-06-12
  • 基金资助:
    Project supported by Scientific Research Foundation of College of Physics of Hebei Normal University.

Electronic structure of hexagonal quantum-disc clusters

Wang Li-Min (王立民)ab, Luo Ying (罗莹)a, Ma Ben-Kun (马本堃)a, Liu Cheng-Shi (刘承师)a   

  1. a Department of Physics and Institute of Theoretical Physics, Beijing Normal University, Beijing 100875, China; b College of Physics, Hebei Normal University, Shijiazhuang 050016, China
  • Received:2002-04-19 Revised:2001-12-09 Online:2002-08-12 Published:2005-06-12
  • Supported by:
    Project supported by Scientific Research Foundation of College of Physics of Hebei Normal University.

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摘要： Within the effective-mass approximation, we investigate the electronic structure of hexagonal quantum-disc clusters using the finite element method. With an increasing amount of quantum dots in the cluster, the electronic energy levels quickly expand into mini-bands, each consisting of discrete, unevenly distributed energy levels. The corresponding electronic eigenfunctions are linear combinations of the electron orbits in each quantum dot. The spatial symmetry of the combination is the same as the electronic eigenfunction of a single quantum dot.

Abstract: Within the effective-mass approximation, we investigate the electronic structure of hexagonal quantum-disc clusters using the finite element method. With an increasing amount of quantum dots in the cluster, the electronic energy levels quickly expand into mini-bands, each consisting of discrete, unevenly distributed energy levels. The corresponding electronic eigenfunctions are linear combinations of the electron orbits in each quantum dot. The spatial symmetry of the combination is the same as the electronic eigenfunction of a single quantum dot.

Key words: energy band, linear combination, spatial symmetry

中图分类号:  (Finite-element and Galerkin methods)

  • 02.70.Dh
68.65.Hb (Quantum dots (patterned in quantum wells)) 73.21.La (Quantum dots) 02.10.Ud (Linear algebra)