First Study on the Electronic and Donor Atom Properties of the Ultra-Thin Nanoflakes Quantum Dots

Nanoflakes ultra-thin quantum dots are theoretically studied as innovative nanomaterials delivering outstanding results in various high fields. In this work, we investigated the surface properties of an electron confined in spherical ultra-thin quantum dots in the presence of an on-center or off-cen...

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Main Authors: Laaziz Belamkadem, Omar Mommadi, Reda Boussetta, Mohamed Chnafi, Juán A. Vinasco, David Laroze, Laura M. Pérez, Abdelaziz El Moussaouy, Yahya M. Meziani, Esin Kasapoglu, Viktor Tulupenko, Carlos A. Duque
Format: Article
Language:English
Published: MDPI AG 2022-03-01
Series:Nanomaterials
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Online Access:https://www.mdpi.com/2079-4991/12/6/966
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author Laaziz Belamkadem
Omar Mommadi
Reda Boussetta
Mohamed Chnafi
Juán A. Vinasco
David Laroze
Laura M. Pérez
Abdelaziz El Moussaouy
Yahya M. Meziani
Esin Kasapoglu
Viktor Tulupenko
Carlos A. Duque
author_facet Laaziz Belamkadem
Omar Mommadi
Reda Boussetta
Mohamed Chnafi
Juán A. Vinasco
David Laroze
Laura M. Pérez
Abdelaziz El Moussaouy
Yahya M. Meziani
Esin Kasapoglu
Viktor Tulupenko
Carlos A. Duque
author_sort Laaziz Belamkadem
collection DOAJ
description Nanoflakes ultra-thin quantum dots are theoretically studied as innovative nanomaterials delivering outstanding results in various high fields. In this work, we investigated the surface properties of an electron confined in spherical ultra-thin quantum dots in the presence of an on-center or off-center donor impurity. Thus, we have developed a novel model that leads us to investigate the different nanoflake geometries by changing the spherical nanoflake coordinates (<i>R</i>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ϕ</mi></semantics></math></inline-formula>). Under the infinite confinement potential model, the study of these nanostructures is performed within the effective mass and parabolic band approximations. The resolution of the Schrödinger equation is accomplished by the finite difference method, which allows obtaining the eigenvalues and wave functions for an electron confined in the nanoflakes surface. Through the donor and electron energies, the transport, optoelectronic, and surface properties of the nanostructures were fully discussed according to their practical significance. Our findings demonstrated that these energies are more significant in the small nanoflakes area by altering the radius and the polar and azimuthal angles. The important finding shows that the ground state binding energy depends strongly on the geometry of the nanoflakes, despite having the same surface. Another interesting result is that the presence of the off-center shallow donor impurity permits controlling the binding energy, which leads to adjusting the immense behavior of the curved surface nanostructures.
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spelling doaj.art-84ddfd500a8a4a6f851f67aa63c9468e2023-11-30T21:46:17ZengMDPI AGNanomaterials2079-49912022-03-0112696610.3390/nano12060966First Study on the Electronic and Donor Atom Properties of the Ultra-Thin Nanoflakes Quantum DotsLaaziz Belamkadem0Omar Mommadi1Reda Boussetta2Mohamed Chnafi3Juán A. Vinasco4David Laroze5Laura M. Pérez6Abdelaziz El Moussaouy7Yahya M. Meziani8Esin Kasapoglu9Viktor Tulupenko10Carlos A. Duque11OAPM Group, Laboratory of Materials, Waves, Energy and Environment, Department of Physics, Faculty of Sciences, University Mohamed I, Oujda 60000, MoroccoOAPM Group, Laboratory of Materials, Waves, Energy and Environment, Department of Physics, Faculty of Sciences, University Mohamed I, Oujda 60000, MoroccoOAPM Group, Laboratory of Materials, Waves, Energy and Environment, Department of Physics, Faculty of Sciences, University Mohamed I, Oujda 60000, MoroccoOAPM Group, Laboratory of Materials, Waves, Energy and Environment, Department of Physics, Faculty of Sciences, University Mohamed I, Oujda 60000, MoroccoInstituto de Alta Investigación, CEDENNA, Universidad de Tarapacá, Casilla 7D, Arica 1000000, ChileInstituto de Alta Investigación, CEDENNA, Universidad de Tarapacá, Casilla 7D, Arica 1000000, ChileDepartamento de Física, FACI, Universidad de Tarapacá, Casilla 7D, Arica 1000000, ChileOAPM Group, Laboratory of Materials, Waves, Energy and Environment, Department of Physics, Faculty of Sciences, University Mohamed I, Oujda 60000, MoroccoGroup of Nanotechnology, USAL-NANOLAB, Universidad de Salamanca, 37008 Salamanca, SpainFaculty of Science, Department of Physics, Sivas Cumhuriyet University, Sivas 58140, TurkeyDonbass State Engineering Academy, 84313 Kramatorsk, UkraineGrupo de Materia Condensada-UdeA, Facultad de Ciencias Exactas y Naturales, Instituto de Física, Universidad de Antioquia UdeA, Calle 70 No. 52-21, Medellín AA 1226, ColombiaNanoflakes ultra-thin quantum dots are theoretically studied as innovative nanomaterials delivering outstanding results in various high fields. In this work, we investigated the surface properties of an electron confined in spherical ultra-thin quantum dots in the presence of an on-center or off-center donor impurity. Thus, we have developed a novel model that leads us to investigate the different nanoflake geometries by changing the spherical nanoflake coordinates (<i>R</i>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ϕ</mi></semantics></math></inline-formula>). Under the infinite confinement potential model, the study of these nanostructures is performed within the effective mass and parabolic band approximations. The resolution of the Schrödinger equation is accomplished by the finite difference method, which allows obtaining the eigenvalues and wave functions for an electron confined in the nanoflakes surface. Through the donor and electron energies, the transport, optoelectronic, and surface properties of the nanostructures were fully discussed according to their practical significance. Our findings demonstrated that these energies are more significant in the small nanoflakes area by altering the radius and the polar and azimuthal angles. The important finding shows that the ground state binding energy depends strongly on the geometry of the nanoflakes, despite having the same surface. Another interesting result is that the presence of the off-center shallow donor impurity permits controlling the binding energy, which leads to adjusting the immense behavior of the curved surface nanostructures.https://www.mdpi.com/2079-4991/12/6/966ultra-thin quantum dotnanoflakesdonor impurityground state energybinding energy
spellingShingle Laaziz Belamkadem
Omar Mommadi
Reda Boussetta
Mohamed Chnafi
Juán A. Vinasco
David Laroze
Laura M. Pérez
Abdelaziz El Moussaouy
Yahya M. Meziani
Esin Kasapoglu
Viktor Tulupenko
Carlos A. Duque
First Study on the Electronic and Donor Atom Properties of the Ultra-Thin Nanoflakes Quantum Dots
Nanomaterials
ultra-thin quantum dot
nanoflakes
donor impurity
ground state energy
binding energy
title First Study on the Electronic and Donor Atom Properties of the Ultra-Thin Nanoflakes Quantum Dots
title_full First Study on the Electronic and Donor Atom Properties of the Ultra-Thin Nanoflakes Quantum Dots
title_fullStr First Study on the Electronic and Donor Atom Properties of the Ultra-Thin Nanoflakes Quantum Dots
title_full_unstemmed First Study on the Electronic and Donor Atom Properties of the Ultra-Thin Nanoflakes Quantum Dots
title_short First Study on the Electronic and Donor Atom Properties of the Ultra-Thin Nanoflakes Quantum Dots
title_sort first study on the electronic and donor atom properties of the ultra thin nanoflakes quantum dots
topic ultra-thin quantum dot
nanoflakes
donor impurity
ground state energy
binding energy
url https://www.mdpi.com/2079-4991/12/6/966
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