On the anomalous Stark effect in a thin disc-shaped quantum dot

Oukerroum, A.; Feddi, E.; Bailach, J. Bosch; Martínez‐Pastor, Juan P.; Dujardin, F.; Assaid, E.

doi:10.1088/0953-8984/22/37/375301

Cited by 24 publications

(11 citation statements)

References 53 publications

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“…This problem will be treated by following our previous approach, in which we consider that the confinement potential can be considered to be sum of two independent terms

[ 41 ]. In these conditions, the independence of the in-plan and z-axial motions can be separated.…”

Section: Theoretical Background and Mathematical Modelingmentioning

confidence: 99%

Influence of Geometrical Shape on the Characteristics of the Multiple InN/InxGa1−xN Quantum Dot Solar Cells

et al. 2021

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Solar cells that are based on the implementation of quantum dots in the intrinsic region, so-called intermediate band solar cells (IBSCs), are among the most widely used concepts nowadays for achieving high solar conversion efficiency. The principal characteristics of such solar cells relate to their ability to absorb low energy photons to excite electrons through the intermediate band, allowing for conversion efficiency exceeding the limit of Shockley–Queisser. IBSCs are generating considerable interest in terms of performance and environmental friendliness. However, there is still a need for optimizing many parameters that are related to the solar cells, such as the size of quantum dots, their shape, the inter-dot distance, and choosing the right material. To date, most studies have only focused on studying IBSC composed of cubic shape of quantum dots. The main objective of this study is to extend the current knowledge of IBSC. Thus, we analyze the effect of the shape of the quantum dot on the electronic and photonic characteristics of indium nitride and indium gallium nitride multiple quantum dot solar cells structure considering cubic, spherical, and cylindrical quantum dot shapes. The ground state of electrons and holes energy levels in quantum dot are theoretically determined by considering the Schrödinger equation within the effective mass approximation. Thus, the inter and intra band transitions are determined for different dot sizes and different inter dot spacing. Consequently, current–voltage (J-V) characteristic and efficiencies of these devices are evaluated and compared for different shapes. Our calculations show that, under fully concentrated light, for the same volume of different quantum dots (QD) shapes and a well determined In-concentration, the maximum of the photovoltaic conversion efficiencies reaches 63.04%, 62.88%, and 62.43% for cubic, cylindrical, and spherical quantum dot shapes, respectively.

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“…This problem will be treated by following our previous approach, in which we consider that the confinement potential can be considered to be sum of two independent terms

[ 41 ]. In these conditions, the independence of the in-plan and z-axial motions can be separated.…”

Section: Theoretical Background and Mathematical Modelingmentioning

confidence: 99%

Influence of Geometrical Shape on the Characteristics of the Multiple InN/InxGa1−xN Quantum Dot Solar Cells

et al. 2021

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“…3 and for a given radius, we can extract the energy at zero electric field, and from Fig. 4, we extract the polarizability for the same radius and we use the relation (21) to determine the energy-whatever the electric field strength. In the aim to facilitate the comprehension of optical response in electroluminescence experiences of (D þ , X), we complete our discussion by comparing the polarizabilities of neutral donor (D 0 ), exciton (X), and exciton bound to an ionized donor (D þ , X).…”

Section: Fig 2 Comparison Of the Variations Of Band Gap Energy E ãmentioning

confidence: 99%

“…The electric field effect on the low dimension semiconductors continues to attract much interest. [13][14][15][16][17][18][19][20][21] It leads to the quantum confined Stark effect characterized by a red-shift, many times greater than the electron-hole binding energy.…”

Section: Introductionmentioning

confidence: 99%

Size dependence of the polarizability and Haynes rule for an exciton bound to an ionized donor in a single spherical quantum dot

Feddi

Zouitine

Oukerroum

et al. 2015

Journal of Applied Physics

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We study the effect of an external electric field on an exciton bound to an ionized donor (D þ , X) confined in a spherical quantum dot using a perturbative-variational method where the wave function and energy are developed in series of powers of the electric field strength. After testing this new approach in the determination of the band gap for some semiconductor materials, we generalize it to the case of (D þ , X) in the presence of the electric field and for several materials ZnO, PbSe, and InAs, with significant values of the mass ratio. Three interesting results can be deduced: First, we show that the present method allows to determine the ground state energy in the presence of a weak electric field in a simple way (E ¼ E 0 À af 2) using the energy without electric field E 0 and the polarizability a. The second point is that our theoretical predictions show that the polarizability of (D þ , X) varies proportionally to R 3.5 and follows an ordering a D 0 < a X < a ðD þ ;XÞ. The last point to highlight is that the Haynes rule remains valid even in the presence of a weak electric field.

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“…[1][2][3][4][5] The optical and electronic properties can also be controlled by an external electric field. A large amount of the past activities include studies of Stark effect of threedimensional quantum dots, [6][7][8][9] two-dimensional quantum disks, 10 and quantum rods. [11][12][13][14] The purpose of the present paper is to examine theoretically the electronic and optical properties of an exciton under a large electric field along the axis in a narrow quantum nanorod bounded by a large confinement potential at each end.…”

Section: Introductionmentioning

confidence: 99%

Excitons in a quasi-one-dimensional quantum nanorod under a strong electric field

Lyo

2014

Journal of Applied Physics

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Articles you may be interested inInfluence of surface optical phonons on exciton binding energies of a quasi-one-dimensional wurtzite GaN-based nanowire: Quantum size effect J. Appl. Phys. 113, 093710 (2013); 10.1063/1.4794527Exciton states and oscillator strengths in a cylindrical quantum wire with finite potential under transverse electric field Exciton in an anisotropic parabolic quantum-well wire in the presence of a magnetic fieldThe response of an exciton in the ground and first excited states to a strong DC electric field is studied in a quasi-one-dimensional nano quantum well (i.e., nanorod) bounded by high symmetric barriers by studying the energy, the oscillator strength, the root-mean-square (RMS) average of the electron-hole (e-h) separation, and the average positions of the electron and the hole. The interplaying effect between the barrier confinement, e-h attraction, and the field-induced e-h separation for exciton binding is examined. We find that, for a long nanorod, the exciton energy, as well as, the oscillator strength drops abruptly as a function of the field near the exciton-dissociation field while the RMS average of the e-h separation rises rapidly. For shorter rods, the transition is more gradual due to the combined effect of the confinement and the long-range e-h interaction. A strong field is shown to transform the optically-inactive first excited state into an optically-active state in the field range between the dissociation field of the ground state and that of the first excited level. We also find that, in the ground state, the (lighter) electron is dragged by the (heavier) hole below the dissociation field. The dependence of the above mentioned properties on the rod length is also investigated for varying fields. The results are compared with those obtained for the rods with parabolic confinement. V C 2014 AIP Publishing LLC. [http://dx.

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On the anomalous Stark effect in a thin disc-shaped quantum dot

Cited by 24 publications

References 53 publications

Influence of Geometrical Shape on the Characteristics of the Multiple InN/InxGa1−xN Quantum Dot Solar Cells

Influence of Geometrical Shape on the Characteristics of the Multiple InN/InxGa1−xN Quantum Dot Solar Cells

Size dependence of the polarizability and Haynes rule for an exciton bound to an ionized donor in a single spherical quantum dot

Excitons in a quasi-one-dimensional quantum nanorod under a strong electric field

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