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Modelling of Quantum Dots with the Finite Element Method by Mantashian, G. A.; Mantashyan, P. A.; Hayrapetyan, D. B. is a scholarly article available to read on EtoBox.

What is Modelling of Quantum Dots with the Finite Element Method about?

Considering the increasing number of experimental results in the manufacturing process of quantum dots with different geometries, and the fact that most numerical methods that can be used to investigate quantum dots with non-trivial geometries require large computational capacities the finite element method becomes an incredibly attractive tool for modeling semiconductor QDs. In the current article, the authors have used the FEM to obtain the first twenty-six probability densities and energy values for the following GaAs structures: rectangular, spherical, cylindrical, ellipsoidal, spheroidal, and conical QDs, quantum rings, nanotadpoles, and nanostars. The results of the numerical calculations were compared with the exact analytical solutions and a good deviation was obtained. The ground states energies dependence on the element size was obtained to find the optimal parameter for the investigated structures. The abovementioned calculation results were used to obtain valuable insight into the effects of the size quantization s dependence on the shape of the QDs. Additionally, the wavefunctions and energies of spherical CdSe/CdS quantum dots were obtained while taking into account t

Author

Mantashian, G. A.; Mantashyan, P. A.; Hayrapetyan, D. B.

Published

2022

Language

EN