Electronic states in a cylindrical quantum dot with the modified Pöschl-Teller potential in the presence of external magnetic field

Hayrapetyan, D. B.; Achoyan, A.; Kazaryan, É. M.; Tevosyan, H. Kh.

doi:10.3103/s1068337213060054

Cited by 20 publications

(5 citation statements)

References 33 publications

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“…The choice of the confinement potential is a critical issue for realistic modeling of the energy spectrum of charge carriers. To model the limiting potential for a 1 Gan/In Ga N yy − cylindrical QD, we will use the Pöschl-Teller potential along the axial direction and the parabolic potential along the radial direction 21,22 In all the layers of the system (GaN,InGaN) spontaneous polarization occurs due to their wurtzite crystal structure, and additionally piezoelectric polarization is formed in the layer…”

Section: Theorymentioning

confidence: 99%

Exciton binding energy and interband absorption in a cylindrical quantum dot GaN/InxGa1-xN

Kharatyan

2024

Nanophotonics X

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Quantum dots represent a particularly intriguing class of materials due to their unique crystalline structure, characterized by the emergence of a substantial internal piezoelectric field, even at low indium concentrations. This distinctive feature renders them versatile for a wide range of applications, including light-emitting diodes spanning from red to ultraviolet wavelengths, solar panels, microcontrollers, and energy generation technologies. This research delves into the exploration of exciton states within cylindrical 1 Gan/In Ga N xx − quantum dots (QDs). To effectively model the confinement potential of such QDs, the modified Pöschl-Teller potential is employed in the axial direction, while for the radial direction parabolic potential is used. The study initially focuses on assessing the dependence of critical parameters. This includes the wave function, ground, and first excited state energies, as well as binding energies. These dependencies are examined regarding with the geometric characteristics of the quantum dot and the concentration of indium within the material. Of particular interest are the observed effects of varying indium concentrations, which have a profound impact on the internal piezoelectric field, influencing the spatial separation of electron-hole pairs and modulating the band gap curvature. Subsequently, our investigation extends to the analysis of absorption processes, specifically the interband absorption and the creation of the electron hole pair. We scrutinize the intricate relationships between these absorption processes, the geometric properties of the quantum dots, and the indium concentration. In addition, the selection rules have been revealed for the corresponding quantum transitions. In summary, this study provides valuable insights into the excitonic properties of cylindrical 1-GaN/In Ga N xx quantum dot considering taking into account piezoelectric effects arising due to the indium concentrations.

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Section: Theorymentioning

confidence: 99%

Exciton binding energy and interband absorption in a cylindrical quantum dot GaN/InxGa1-xN

Kharatyan

2024

Nanophotonics X

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“…External electric and magnetic fields causing quantization are alternative control tools for the energy spectrum of charge carriers inside QD [12,[18][19][20][21][22]. Strong external fields, at certain values of their intensities, may have the same, or even stronger size quantization effect than quantum dot shape Remind that the magnetic field affects the electron or hole motion only in transversal direction, in difference to the electrical field.…”

Section: Introductionmentioning

confidence: 97%

“…It is evident that with the increase in the quantum number the behavior of the confining potential diverges from the parabolic shape. For a more realistic approximation of the forming confining potential it was proposed to use a different potentials [8][9][10][11][12][13][14]. One of the confining potential models called Morse potential [15][16][17], the form of which is shown in Fig.…”

Section: Introductionmentioning

confidence: 99%

“…by expression(12), ν and ν ′ are sets of quantum numbers corresponding to the electron and the heavy hole, respectively, g E is the band gap of massive semiconductor, Ω is the frequency of the incident light, A is a quantity proportional to the square of the matrix element taken by Bloch functions. Consider selection rules for transitions between levels with different quantum numbers.…”

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confidence: 99%

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Light absorption of cylindrical quantum dot with Morse potential in the presence of parallel electrical and magnetic fields

et al. 2015

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The electronic states and direct interband light absorption are studied in the cylindrical quantum dot with Morse confining potential made of GaAs in the presence of parallel electrical and magnetic fields. Within the framework of perturbation theory and variation method expressions are obtained for the particle energy spectrum. The effect of the external fields on direct interband light absorption of cylindrical quantum dot is investigated. Selection rules are obtained at presence of parallel electrical and magnetic fields. The dependence of the absorption threshold on geometrical parameters of quantum dots and intensities of external fields is obtained.

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“…For instance, in the case of spherical QD [3][4][5] the only geometrical parameter is its radius. In the case of cylindrical QD [6][7][8][9][10] there are two such parameters: the cross-sectional radius and height of the cylinder. For the spherical quantum layer [11,12] the geometrical parameters are the internal and external radiuses.…”

Section: Introductionmentioning

confidence: 99%

Quasi-conical quantum dot: electron states and quantum transitions

Kazaryan,

Petrosyan,

Shahnazaryan

et al. 2014

Preprint

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The exactly solvable model of quasi-conical quantum dot, having a form of spherical sector is proposed. Due to the specific symmetry of the problem the separation of variables in spherical coordinates is possible in the one-electron Schrodinger equation. Analytical expressions for wave function and energy spectrum are obtained. It is shown that at small values of the stretch angle of spherical sector the problem reduced to the conical QD problem. The comparison with previously performed works showed good agreement of results. As an application of the obtained results, the quantum transitions in the system are considered.

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Electronic states in a cylindrical quantum dot with the modified Pöschl-Teller potential in the presence of external magnetic field

Cited by 20 publications

References 33 publications

Exciton binding energy and interband absorption in a cylindrical quantum dot GaN/InxGa1-xN

Exciton binding energy and interband absorption in a cylindrical quantum dot GaN/InxGa1-xN

Light absorption of cylindrical quantum dot with Morse potential in the presence of parallel electrical and magnetic fields

Quasi-conical quantum dot: electron states and quantum transitions

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