American Journal of Modern Physics

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Impurity Binding Energyin Quantum Dots with Parabolic Confinement in the Presence of Electric Field

Received: 18 November 2015    Accepted: 30 November 2015    Published: 20 December 2015
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Abstract

We present an efficient method for calculation of the impurity binding energy in a quantum dot with parabolic confinement in the presence of the electric field. The unknown wave function is expanded into a basis of one-dimensional harmonic oscillator states describing the electron's movement perpendicular to the plane of quantum well. Green's function technique used to calculate the coefficients of the expansion. Binding energy of impurity states is defined as poles of the wave function. Developed method applied to calculation of impurity binding energy for different position of impurity and the intensity of electric field.

DOI 10.11648/j.ajmp.20150406.15
Published in American Journal of Modern Physics (Volume 4, Issue 6, November 2015)
Page(s) 287-290
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Quantum Dot, Electric Field, Impurity

References
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[15] A. John Peter, Vemuri Lakshminarayana, “Effects of Electric Field on Electronic States in a GaAs/GaAlAs Quantum Dotwith Different Confinements”, Chin. Phys. Lett., vol. 25, pp. 3021-3024, 2008.
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Author Information
  • Kuang-Chi Institute of Advance Technology, Shenzhen, China

  • Kuang-Chi Institute of Advance Technology, Shenzhen, China

  • Donbass State Engineering Academy, Kramatorsk, Ukraine

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    Arnold Abramov, Zhiya Zhao, Alexander Kostikov. (2015). Impurity Binding Energyin Quantum Dots with Parabolic Confinement in the Presence of Electric Field. American Journal of Modern Physics, 4(6), 287-290. https://doi.org/10.11648/j.ajmp.20150406.15

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    ACS Style

    Arnold Abramov; Zhiya Zhao; Alexander Kostikov. Impurity Binding Energyin Quantum Dots with Parabolic Confinement in the Presence of Electric Field. Am. J. Mod. Phys. 2015, 4(6), 287-290. doi: 10.11648/j.ajmp.20150406.15

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    AMA Style

    Arnold Abramov, Zhiya Zhao, Alexander Kostikov. Impurity Binding Energyin Quantum Dots with Parabolic Confinement in the Presence of Electric Field. Am J Mod Phys. 2015;4(6):287-290. doi: 10.11648/j.ajmp.20150406.15

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  • @article{10.11648/j.ajmp.20150406.15,
      author = {Arnold Abramov and Zhiya Zhao and Alexander Kostikov},
      title = {Impurity Binding Energyin Quantum Dots with Parabolic Confinement in the Presence of Electric Field},
      journal = {American Journal of Modern Physics},
      volume = {4},
      number = {6},
      pages = {287-290},
      doi = {10.11648/j.ajmp.20150406.15},
      url = {https://doi.org/10.11648/j.ajmp.20150406.15},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajmp.20150406.15},
      abstract = {We present an efficient method for calculation of the impurity binding energy in a quantum dot with parabolic confinement in the presence of the electric field. The unknown wave function is expanded into a basis of one-dimensional harmonic oscillator states describing the electron's movement perpendicular to the plane of quantum well. Green's function technique used to calculate the coefficients of the expansion. Binding energy of impurity states is defined as poles of the wave function. Developed method applied to calculation of impurity binding energy for different position of impurity and the intensity of electric field.},
     year = {2015}
    }
    

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    AU  - Arnold Abramov
    AU  - Zhiya Zhao
    AU  - Alexander Kostikov
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    JF  - American Journal of Modern Physics
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    AB  - We present an efficient method for calculation of the impurity binding energy in a quantum dot with parabolic confinement in the presence of the electric field. The unknown wave function is expanded into a basis of one-dimensional harmonic oscillator states describing the electron's movement perpendicular to the plane of quantum well. Green's function technique used to calculate the coefficients of the expansion. Binding energy of impurity states is defined as poles of the wave function. Developed method applied to calculation of impurity binding energy for different position of impurity and the intensity of electric field.
    VL  - 4
    IS  - 6
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