Direct interband light absorption in the cylindrical quantum dot with modified Pöschl–Teller potential

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

doi:10.1016/j.physe.2012.10.005

Cited by 30 publications

(7 citation statements)

References 22 publications

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“…So, to model this process we first have to obtain the excitonic states of the system in the presence of an external electric field   0, 0, z F F  . We have chosen the sum of well-known modified Pöschl-Teller potentials (MPTP) [23][24][25] as the confinement potential for the axial direction. Traditionally, a finite rectangular potential well was used to describe the effect of the QDs confinement on the charge carriers.…”

Section: Methodsmentioning

confidence: 99%

Talbot Effect in InAs/GaAs Coupled Cylindrical Quantum Dots Ensemble

Mantashyan¹,

Mantashian²,

Hayrapetyan³

2022

Preprint

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Talbot effect is a self-imaging or lensless imaging phenomenon of a periodic grating illuminated by a collimated light beam at regular distances from the grating. Research on the Talbot effect has recently made significant strides thanks to the quick development of optical superlattices. The emergence of various applications of this effect in fields such as optics, acoustics, X-ray, plasmonics, and information processing has led to the increasing importance of obtaining a Talbot carpet with the use of different structures. In this paper, we investigate the Talbot effect that originates from the tunneling effect between an ensemble of vertically coupled cylindrical quantum dots (QDs). The Talbot carpet can be manipulated by changing the parameters of the QD system. In the current paper, two modified Pöschl-Teller potentials were used to model the QDs ensemble. The exciton’s lifetime and tunneling time’s dependence on the first QD’s potential half-width is found for a fixed value of the external electric field. The nonlinear changes in the refractive index and absorption spectrum dependent on the tunneling effect are obtained. Afterward, the Talbot carpet formation is investigated, particularly the dependences of the formed periodic wavefront’s visibility on medium length, coupling field’s strength, and tunneling parameter. Finally, we have observed the intensity distribution of the diffraction field at Talbot half-distance.

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Section: Methodsmentioning

confidence: 99%

Talbot Effect in InAs/GaAs Coupled Cylindrical Quantum Dots Ensemble

Mantashyan¹,

Mantashian²,

Hayrapetyan³

2022

Preprint

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“…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%

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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Direct interband light absorption in the cylindrical quantum dot with modified Pöschl–Teller potential

Cited by 30 publications

References 22 publications

Talbot Effect in InAs/GaAs Coupled Cylindrical Quantum Dots Ensemble

Talbot Effect in InAs/GaAs Coupled Cylindrical Quantum Dots Ensemble

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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