Binding energy of an exciton in a GaN/AlN nanodot: Role of size and external electric field

Chafai, A.; Essaoudi, I.; Ainane, A.; Dujardin, F.; Ahuja, Rajeev

doi:10.1016/j.physb.2019.01.047

Cited by 10 publications

(4 citation statements)

References 29 publications

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“…[42], while Φh(rh) denotes the hole wave function taken as in Ref. [27]. However, α1, α2, and β are positive variational parameters, introduced in order to take into account the mutual Coulomb correlation between charge carriers.…”

Section: Theoretical Frameworkmentioning

confidence: 99%

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Insight into negative trions binding energy behavior inside type-I and reversed type-I core/shell quantum dots: A variational analysis

Chafai,

Essaoudi,

Ainane

et al. 2023

Mat & Dev

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Many body interactions between single particles inside low-dimensional semiconducting materials play a critical role in their optical characteristics. Within this context, tuning trionic and excitonic binding energy enables tailoring of the optical band gap of a given material. In this paper, we theoretically investigated the binding energy (Eb) of negatively charged excitons inside GaN/AlN type-I, and AlN/GaN inverted type-I core/shell quantum dots. Firstly, we started our study by examining the variation in the energy of electrons (holes) according to the change in the internal and external radii { as a means to obtain an insight into the energetic behavior of non-correlated single particles inside the two understudied nanosystems. The feature of the radial probability density distribution of confined single particles and negative trions is also discussed. Afterwards, we examined the impact of the heteronanodot spatial parameters (core radius and shell thickness) on the binding energy of confined trions. A comparison between the Eb behavior of negative trions inside core/shell type-I, and reversed type-I nanodots is also highlighted. Our results exhibit a strong dependence of the negative trion binding energy on the core material size and the shell thickness, and on the core-to-shell band mismatch as well. The obtained data also show the opportunity of modulating the negatively charged exciton correlation energy in a broad range extending from 220 to 650 meV . That paves the way for new optoelectronic devices based on III-Nitride core/shell quantum dots.

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Section: Theoretical Frameworkmentioning

confidence: 99%

“…For instance, Ref. [27] treats the size modulation of exciton binding energy in a GaN/AlN nanodot. While Williams et al [28] investigated the change of the exciton, bi-exciton, and charged exciton energy with respect to the GaN/AlN QDs dimensionality.…”

Section: Introductionmentioning

confidence: 99%

Insight into negative trions binding energy behavior inside type-I and reversed type-I core/shell quantum dots: A variational analysis

Chafai,

Essaoudi,

Ainane

et al. 2023

Mat & Dev

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show abstract

“…Over the years, the study of the electronic and optical properties of atomic, molecular or nanoscale systems, especially under the influence of external perturbations has become very relevant for the researchers. Effects of external environments such as a magnetic field [11][12][13][14][15][16][17][18][19][20][21][22], an electric field [23][24][25][26], both electric and magnetic fields [27,28] and hydrostatic pressure [29] on the electronic and optical properties of the nanostructure systems with impurities located on or out from the center constitute a subject of considerable interest of theoretical and experimental studies. Recently, many investigations both theoretical and experimental have been carried out on the energy levels and binding energies of hydrogenic impurities in the presence of a magnetic field using diverse calculation methods such as perturbation, variational and finite-difference methods [30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Binding energies, oscillator strengths of core/shell spherical quantum dots with or without on- or off-center donor impurities under an external magnetic field

Aboulaï¹,

Melono²,

Doba³

et al. 2022

Phys. Scr.

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Non-relativistic energy levels, binding energies and oscillator strengths of CdSe⁄ZnT e core/shell spherical quantum dots with or without impurities submitted to an external magnetic ﬁeld have been investigated by using a B-spline based variational method, within the framework of the eﬀective mass approximation. In the case where the system contains hydrogenic impurity, the eﬀects of its oﬀ-center displacement combined to the height of the conﬁning potential have also been studied. The dielectric constant as well as the eﬀective mass are considered to be dependent on the radius. The modiﬁcations occurring due to the presence of the magnetic ﬁeld have been analyzed. We have found that the electronic and optical properties are strongly aﬀected by the magnetic ﬁeld strength, the spatial conﬁnement and the oﬀ-center displacement. The oscillator strengths and the binding energies increase with the magnetic ﬁeld, but its eﬀect on the binding energies (both ground and excited states) is dimmed by the reduction of the core-to-shell radii ratio and the increase of the oﬀ-center displacement to the vicinity of the shell. However, the oscillator strengths increase with the magnetic ﬁeld when the oﬀ-center displacement increases towards the shell.

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“…[11][12][13][14] Generally speaking, because excitons can show the electrical and optical properties of quantum dots to a certain extent, many people have done research on excitons in both experiment and theory. [15][16][17] Chafai et al [18] used the variational method to predict that in the spherical GaN/AlN core/shell quantum dot, the external electric field will reduce the binding energy of exciton state, and the increase of quantum dot size will also reduce the binding energy. Pattammal et al [19] studied the influence of well width on exciton radiation life-time in InGaN/GaN quantum wires.…”

Section: Introductionmentioning

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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Binding energy of an exciton in a GaN/AlN nanodot: Role of size and external electric field

Cited by 10 publications

References 29 publications

Insight into negative trions binding energy behavior inside type-I and reversed type-I core/shell quantum dots: A variational analysis

Insight into negative trions binding energy behavior inside type-I and reversed type-I core/shell quantum dots: A variational analysis

Binding energies, oscillator strengths of core/shell spherical quantum dots with or without on- or off-center donor impurities under an external magnetic field

Optical properties of core/shell spherical quantum dots*

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