Polarization effects on spectra of spherical core/shell nanostructures: Perturbation theory against finite difference approach

Ibral, A.; Zouitine, A.; Assaid, E.; Achouby, H. El; Feddi, E.; Dujardin, F.

doi:10.1016/j.physb.2014.11.009

Cited by 12 publications

(5 citation statements)

References 39 publications

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“…The ground state energy of electrons and holes in a core/shell quantum dot is given by Eq. (21) of [22], an equation similar to ours, just mentioned previously. Such results are important, inter alia, for the interpretation of photoluminescence spectra of heterojunctions.…”

Section: Discussionmentioning

confidence: 54%

Semiconductor Quantum Wells with BenDaniel-Duke Boundary Conditions and Janus Nanorods

Barsan¹

2018

Semiconductors - Growth and Characterization

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The energy levels of bound states of an electron in a quantum well with BenDaniel-Duke boundary condition are studied. Analytic, explicit, simple, and accurate formulae have been obtained for the ground state and the first excited state. In our approach, the exact, transcendental eigenvalues equations were replaced with approximate, tractable, algebraic equations, using algebraic approximations for some trigonometric functions. Our method can be applied to both type I and type II semiconductors and easily extended to quantum dots. The same approach was used for the semi-quantitative analyze of two toy models of Janus nanorods.

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Section: Discussionmentioning

confidence: 54%

Semiconductor Quantum Wells with BenDaniel-Duke Boundary Conditions and Janus Nanorods

Barsan¹

2018

Semiconductors - Growth and Characterization

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“…( 21) of Ref. 18 , an equation similar to ours, just mentioned previously. Such results are important, inter alia, for the interpretation of photoluminescence spectra and photon harvesting of quantum dots.…”

Section: E Graphical Illustration Of Our Main Resultsmentioning

confidence: 68%

“…Also, the eigenvalue equations for the wave vectors of bound energy levels of a finite barrier rectangular shaped QD, equation (36) in [17], are quite similar to ours-( 27) and (28), but somewhat more complicated. The ground state energy of electrons and holes in a core/shell QD is given by equation (21) of [18], an equation similar to ours, just mentioned previously. Such results are important, inter alia, for the interpretation of photoluminescence spectra and photon harvesting of QDs.…”

Section: Discussion: Applications To Other Nanostructuresmentioning

confidence: 72%

Semiconductor quantum wells with BenDaniel–Duke boundary conditions: approximate analytical results

Barsan

Ciornei

2016

Eur. J. Phys.

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The Schrödinger equation for a particle moving in a square well potential with BenDaniel -Duke boundary conditions is solved. Using algebraic approximations for trigonometric functions, the transcendental equations of the bound states energy are transformed into tractable, algebraic equations. For the ground state and the first excited state, they are cubic equations; we obtain simple formulas for their physically interesting roots. The case of higher excited states is also analyzed. Our results have direct applications in the physics of type I and type II semiconductor heterostructures.2

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“…For the inverted core/shell structure of QDs (see Fig. 1), the wave functions of electron and hole are [25]…”

Section: Theoretical Modelmentioning

confidence: 99%

Optical properties of core/shell spherical quantum dots*

Shi

Yan

2020

Chinese Phys. B

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In this study, the effects of quantum dot size on the binding energy, radiative lifetime, and optical absorption coefficient of exciton state in both GaN/Al x Ga1−x N core/shell and Al x Ga1−x N/GaN inverted core/shell quantum dot structures are studied. For the GaN/Al x Ga1−x N core/shell structure, the variation trend of binding energy is the same as that of radiation lifetime, both of which increase first and then decrease with the increase of core size. For Al x Ga1−x N/GaN inverted core/shell structure, the binding energy decreases first and then increases with core size increasing, and the trends of radiation lifetime varying with core size under different shell sizes are different. For both structures, when the photon energy is approximately equal to the binding energy, the peak value of the absorption coefficient appears, and there will be different peak shifts under different conditions.

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Polarization effects on spectra of spherical core/shell nanostructures: Perturbation theory against finite difference approach

Cited by 12 publications

References 39 publications

Semiconductor Quantum Wells with BenDaniel-Duke Boundary Conditions and Janus Nanorods

Semiconductor Quantum Wells with BenDaniel-Duke Boundary Conditions and Janus Nanorods

Semiconductor quantum wells with BenDaniel–Duke boundary conditions: approximate analytical results

Optical properties of core/shell spherical quantum dots*

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