Finite Element Method Linear Rectangular Element for Solving Finite Nanowire Superlattice Quantum Dot Structures

Hussain, Eman Ali; Hawasy, Jamil A. Al; Ali, Lamyaa H.

doi:10.9790/1813-0604010107

Cited by 1 publication

(1 citation statement)

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“…The confinement potential is defined as zero inside the quantum dot structure and 0 elsewhere. dot-like nanosystems of distinct shapes and composition [17,18,19,20,21,22,23,24,25,26,27]. A general environment that combines ⋅ and FEM methods for band structure calculation in nanostructures has been put forward by Veprek and collaborators [28].…”

Section: Introductionmentioning

confidence: 99%

Donor impurity energy and optical absorption in spherical sector quantum dots

Aouami

Feddi

Radu

et al. 2020

Heliyon

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The properties of the conduction band energy states of an electron interacting with a donor impurity center in spherical sector-shaped GaAs-Al 0.3 Ga 0.7 As quantum dots are theoretically investigated. The study is performed within the framework of the effective mass approximation through the numerical solution of the 3D Schrödinger equation for the envelope function via the finite element method. The modifications undergone by the spectrum due to the changes in the conical structure geometry (radius and apical angle) as well as in the position of the donor atom are discussed. With the information regarding electron states the linear optical absorption coefficient associated with transition between confined energy levels is evaluated and its features are discussed. The comparison of results obtained within the considered model with available experimental data in GaAs truncatedwhisker-like quantum dots shows very good agreement. Besides, our simulation leads to identify the lowest energy photoluminescence peak as donor-related, instead of being associated to acceptor atoms, as claimed after experimental measurement (Hiruma et al. (1995) [14]). Also, a checking of our numerical approach is performed by comparing with analytical solutions to the problem of a spherical cone-shaped GaN with infinite confinement and donor impurity located at the cone apex. Coincidence is found to be remarkable.

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