Exciton and donor binding energies in quantum-well wires and quantum dots a fractional-dimensional space approach

doi:10.1088/1009-1963/13/5/032

中国物理B ›› 2004, Vol. 13 ›› Issue (5): 759-764.doi: 10.1088/1009-1963/13/5/032

Exciton and donor binding energies in quantum-well wires and quantum dots a fractional-dimensional space approach

孔小均¹, 李红²

(1)Department of Physics, Hebei Normal University, Shijiazhuang 050016, China; (2)National Laboratory of Magnetism, Institute of Physics, Chinese Academy of Sciences, Beijing 100080, China; Department of Physics, Hebei Normal University, Shijiazhuang 050016, China

收稿日期:2003-07-16 修回日期:2003-12-23 出版日期:2004-05-06 发布日期:2005-07-06
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos 10174095 and 90103024) and the Natural Science Foundation of Hebei Educational Committee.

Exciton and donor binding energies in quantum-well wires and quantum dots a fractional-dimensional space approach

Li Hong (李红)^ab, Kong Xiao-Jun (孔小均)^b

^a National Laboratory of Magnetism, Institute of Physics, Chinese Academy of Sciences, Beijing 100080, China; ^b Department of Physics, Hebei Normal University, Shijiazhuang 050016, China

Received:2003-07-16 Revised:2003-12-23 Online:2004-05-06 Published:2005-07-06
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos 10174095 and 90103024) and the Natural Science Foundation of Hebei Educational Committee.

摘要/Abstract

摘要： A simple method for calculating the free-exciton binding energies in the fractional-dimensional-space model for single-quantum-well structure has been extended to quantum-well wires and quantum dots, in which the real anisotropic system is modelled through an effective isotropic environment with a fractional dimension. In this scheme, the fractional-dimensional parameter is chosen via an analytical procedure and involves no ansatz. We calculated the ground-state binding energies of excitons and donors in quantum-well wires with rectangular cross sections. Our results are found to be in good agreement with previous variational calculations and available experimental measurements. We also discussed the ground-state exciton binding energy changing with different shapes of quantum-well wires.

关键词: binding energy, fractional-dimensional

Abstract: A simple method for calculating the free-exciton binding energies in the fractional-dimensional-space model for single-quantum-well structure has been extended to quantum-well wires and quantum dots, in which the real anisotropic system is modelled through an effective isotropic environment with a fractional dimension. In this scheme, the fractional-dimensional parameter is chosen via an analytical procedure and involves no ansatz. We calculated the ground-state binding energies of excitons and donors in quantum-well wires with rectangular cross sections. Our results are found to be in good agreement with previous variational calculations and available experimental measurements. We also discussed the ground-state exciton binding energy changing with different shapes of quantum-well wires.

Key words: binding energy, fractional-dimensional

中图分类号: (Quantum dots)

73.21.La

73.21.Hb (Quantum wires)

李红, 孔小均. Exciton and donor binding energies in quantum-well wires and quantum dots a fractional-dimensional space approach[J]. 中国物理B, 2004, 13(5): 759-764.

Li Hong (李红), Kong Xiao-Jun (孔小均). Exciton and donor binding energies in quantum-well wires and quantum dots a fractional-dimensional space approach[J]. Chinese Physics, 2004, 13(5): 759-764.

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Exciton and donor binding energies in quantum-well wires and quantum dots a fractional-dimensional space approach

Exciton and donor binding energies in quantum-well wires and quantum dots a fractional-dimensional space approach

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