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Finite difference time domain simulation of arbitrary shapes quantum dots

  • Elyas Parto
  • Ghasem RezaeiEmail author
  • Ahmad Mohammadi Eslami
  • Tahmineh Jalali
Regular Article
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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

Keywords

Solid State and Materials 

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Copyright information

© EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Elyas Parto
    • 1
  • Ghasem Rezaei
    • 1
    Email author
  • Ahmad Mohammadi Eslami
    • 2
  • Tahmineh Jalali
    • 2
  1. 1.Department of PhysicsCollege of Sciences, Yasouj UniversityYasoujIran
  2. 2.Physics Department, Persian Gulf UniversityBushehrIran

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