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Finite difference time domain simulation of arbitrary shapes quantum dots

Author

Listed:
  • Elyas Parto

    (College of Sciences, Yasouj University)

  • Ghasem Rezaei

    (College of Sciences, Yasouj University)

  • Ahmad Mohammadi Eslami

    (Physics Department, Persian Gulf University)

  • Tahmineh Jalali

    (Physics Department, Persian Gulf University)

Abstract

Utilizing the finite difference time domain (FDTD) method, energy eigenvalues of spherical, cylindrical, pyramidal and cone-like quantum dots are calculated. To do this, by the imaginary time transformation, we transform the schrödinger equation into a diffusion equation. Then, the FDTD algorithm is hired to solve this equation. We calculate four lowest energy eigenvalues of these QDs and then compared the simulation results with analytical ones. Our results clearly show that simulation results are in very good agreement with analytical results. Therefore, we can use the FDTD method to find accurate results for the Schrödinger equation. Graphical abstract

Suggested Citation

  • Elyas Parto & Ghasem Rezaei & Ahmad Mohammadi Eslami & Tahmineh Jalali, 2019. "Finite difference time domain simulation of arbitrary shapes quantum dots," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 92(11), pages 1-6, November.
    • Handle: RePEc:spr:eurphb:v:92:y:2019:i:11:d:10.1140_epjb_e2019-100410-9
    DOI: 10.1140/epjb/e2019-100410-9
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    Cited by:

    1. S. Taghipour & G. Rezaei & A. Gharaati, 2022. "Electromagnetically induced transparency in a spherical Gaussian quantum dot," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(9), pages 1-9, September.

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    Keywords

    Solid State and Materials;

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