Electronic states in core/shell GaN/YxGa1−xN quantum well (QW) with the modified Pöschl–Teller plus Woods–Saxon potential in the presence of electric field

Onyeaju, M. C.; Ikot, Akpan N.; Onate, C. A.; Aghemenloh, E.; Hassanabadi, H.

doi:10.1142/s0217979217501193

Cited by 7 publications

(2 citation statements)

References 33 publications

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“…Various methods have been employed to determine both the exact and approximate eigenvalue solutions of wave equations with different potential models. These methods encompass parametric techniques [18], functional analysis, particularly the Nikiforov-Uvarov method [19], Supersymmetric Quantum Mechanics (SUSY) [20][21][22][23][24], the asymptotic iteration method (AIM) [25][26][27], the factorization method [28][29][30], and more. For bound-state solutions, it's possible to obtain them either through analytical means (particularly when ℓ = 0) or approximately when ℓ is not equal to 0.…”

Section: Introductionmentioning

confidence: 99%

Impact of topological defects and Yukawa potential combined with inverse square on eigenvalue spectra of diatomic molecules O ₂, NO, LiH, HCl

Ahmed,

Kumar Nayek

2024

Phys. Scr.

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In this paper, we investigate a quantum system composed of non-relativistic particles interacting with an external potential while in the presence of a topological defect produced by a point-like global monopole. We derive the radial equation of the Schrödinger equation for this system, considering a Yukawa potential combined with inverse square potential within the backdrop of a point-like global monopole. To determine the eigenvalue solutions for this quantum system, we employ a suitable approximation scheme known as the Pekeris approximation. This approximation is applied to the centrifugal term, and we solve the resulting radial equation using the parametric Nikiforov-Uvarov (NU) method. Subsequently, we examine the quantum system when only Yukawa potential is present, and we obtain the eigenvalue solutions using the same procedure. In both cases, we observe that the presence of the global monopole topological defect has a signiﬁcant impact on the energy spectrum of quantum particles interacting with an external potential. To illustrate this eﬀect, we consider a few diatomic molecules, such as O2, NO, LiH, and HCl. We present the energy spectrum and compare our results with previously published ﬁndings in the literature. Furthermore, we generate several plots to visually depict the inﬂuence of the global monopole on the energy eigenvalues for these diﬀerent molecules.

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Section: Introductionmentioning

confidence: 99%

Impact of topological defects and Yukawa potential combined with inverse square on eigenvalue spectra of diatomic molecules O ₂, NO, LiH, HCl

Ahmed,

Kumar Nayek

2024

Phys. Scr.

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“…The effects of the ILF on the electronic structure in a Gaussian quantum well were investigated by Sari et al [ 19 ]; Kasapoglu et al investigated the effects of non-resonant high-frequency ILF on the electronic and optical properties of both the symmetric and asymmetric double Morse quantum wells, and quantum wells/quantum dots which have Razavy potential [ 20 , 21 ]. Furthermore, some of these potentials, which are called QES, have been studied under electric and magnetic fields [ 22 , 23 , 24 , 25 , 26 , 27 ].…”

Section: Introductionmentioning

confidence: 99%

Theoretical Study of the Exciton Binding Energy and Exciton Absorption in Different Hyperbolic-Type Quantum Wells under Applied Electric, Magnetic, and Intense Laser Fields

Yücel

Sarı

Duque

et al. 2022

IJMS

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In this study, we investigated the exciton binding energy and interband transition between the electron and heavy-hole for the single and double quantum wells which have different hyperbolic-type potential functions subject to electric, magnetic, and non-resonant intense laser fields. The results obtained show that the geometric shapes of the structure and the applied external fields are very effective on the electronic and optical properties. In the absence of the external fields, the exciton binding energy is a decreasing function of increasing well sizes except for the strong confinement regime. Therefore, for all applied external fields, the increase in the well widths produces a red-shift at the absorption peak positions. The magnetic field causes an increase in the exciton binding energy and provides a blue-shift of the absorption peak positions corresponding to interband transitions. The effect of the electric field is quite pronounced in the weak confinement regime, it causes localization in opposite directions of the quantum wells of the electron and hole, thereby weakening the Coulomb interaction between them, causing a decrease in exciton binding energy, and a red-shift of the peak positions corresponding to the interband transitions. Generally, an intense laser field causes a decrease in the exciton binding energy and produces a red-shift of the peak positions corresponding to interband transitions.

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Optical Absorption and Photoluminescence of Cylindrical Quantum Dot with Modified Pöschl-Teller and Morse Confining Potentials

Kotanjyan

Tevosyan

2020

Springer Proceedings in Physics

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Electronic states in core/shell GaN/YxGa1−xN quantum well (QW) with the modified Pöschl–Teller plus Woods–Saxon potential in the presence of electric field

Cited by 7 publications

References 33 publications

Impact of topological defects and Yukawa potential combined with inverse square on eigenvalue spectra of diatomic molecules O ₂, NO, LiH, HCl

Impact of topological defects and Yukawa potential combined with inverse square on eigenvalue spectra of diatomic molecules O ₂, NO, LiH, HCl

Theoretical Study of the Exciton Binding Energy and Exciton Absorption in Different Hyperbolic-Type Quantum Wells under Applied Electric, Magnetic, and Intense Laser Fields

Optical Absorption and Photoluminescence of Cylindrical Quantum Dot with Modified Pöschl-Teller and Morse Confining Potentials

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Electronic states in core/shell GaN/YxGa1−xN quantum well (QW) with the modified Pöschl–Teller plus Woods–Saxon potential in the presence of electric field

Cited by 7 publications

References 33 publications

Impact of topological defects and Yukawa potential combined with inverse square on eigenvalue spectra of diatomic molecules O 2, NO, LiH, HCl

Impact of topological defects and Yukawa potential combined with inverse square on eigenvalue spectra of diatomic molecules O 2, NO, LiH, HCl

Theoretical Study of the Exciton Binding Energy and Exciton Absorption in Different Hyperbolic-Type Quantum Wells under Applied Electric, Magnetic, and Intense Laser Fields

Optical Absorption and Photoluminescence of Cylindrical Quantum Dot with Modified Pöschl-Teller and Morse Confining Potentials

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Impact of topological defects and Yukawa potential combined with inverse square on eigenvalue spectra of diatomic molecules O ₂, NO, LiH, HCl

Impact of topological defects and Yukawa potential combined with inverse square on eigenvalue spectra of diatomic molecules O ₂, NO, LiH, HCl