Finite difference time domain simulation of arbitrary shapes quantum dots

Elyas Parto, Ghasem Rezaei (), Ahmad Mohammadi Eslami and Tahmineh Jalali
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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

The European Physical Journal B: Condensed Matter and Complex Systems, 2019, vol. 92, issue 11, 1-6

Abstract: 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 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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DOI: 10.1140/epjb/e2019-100410-9

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