Finite depth square well model: Applicability and limitations

Pellegrini, Giovanni; Mattei, Giovanni; Mazzoldi, P.

doi:10.1063/1.1868875

Cited by 118 publications

(92 citation statements)

References 76 publications

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“…In the following study, we just limit our calculation to the intra-band transition between 1s and 1p (the lowest two energies in the conduction band which also satisfy to promise that the conclusions deduced from effective mass approximation are efficient [17,18]. To get the wave function Φ 1l we can only consider R 1l (r), because Y lm (θ , ϕ) is independent of the radius of the QD.…”

Section: Theorymentioning

confidence: 99%

Influences of Size and Relaxation Time on Optical Free Induction Decay in a Small Spherical CdSe/ZnS Quantum Dot Quantum Well

Yao

2009

Zeitschrift Für Naturforschung A

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The optical free induction decay (OFID) induced by the transition between 1s and 1p state in a small isolated spherical CdSe/ZnS quantum dot quantum well (QDQW) has been studied numerically under the framework of effective-mass approximation. The size and relaxation time-dependent properties of the OFID have been obtained and analyzed. It shows that the OFID-change mechanisms dependent on shell thickness and core size are different. Moreover, the OFID signal decays sharply in amplitude and life as the transverse relaxation time being reduced while the change is slight to the longitudinal relaxation time. By comparing these two factors, we infer that the size mainly influences the amplitude of the decay signal and the delay time is basically determined by the relaxation time.

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Section: Theorymentioning

confidence: 99%

Influences of Size and Relaxation Time on Optical Free Induction Decay in a Small Spherical CdSe/ZnS Quantum Dot Quantum Well

Yao

2009

Zeitschrift Für Naturforschung A

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“…The finite-depth-well EMA calculation that we used in this study was developed by Nanda et al 34 and Pellegrini et al 35 based on the infinite-depth-well EMA calculation proposed by Brus. 41 In this calculation, the electron and hole are confined in spherical QDs with the confining potentials V 0e and V 0h , respectively, and considered as independent particles of effective mass m e * and m h * inside the spherical QDs, while the masses of the electrons and holes outside of the QDs are denoted as m 0 , namely, the free electron mass.…”

Section: Calculationsmentioning

confidence: 99%

“…This calculation reproduced well the experimentally observed size dependence of the optical gap of II-VI and III-V binary and I-III-VI 2 ternary semiconductor QDs. 35,36 Parameters of E g , m e * and m h * used in the present calculation were determined by the following procedures: The energy band gap of a pseudo-binary alloyed semiconductor, such as AB x C 1 x , i.e., x(AB) (1 x)AC, is generally described by:…”

Section: Calculationsmentioning

confidence: 99%

“…Among the various calculation approaches previously developed, the finite-depth-well effective mass approximation (EMA), based on the energy band gap and effective masses of electrons and holes of the bulk material is a simple and useful calculation that reproduces the experimentally observed size dependent optical gap of semiconductor QDs. [34][35][36] In this work, we calculated the size and composition dependent optical gaps of colloidal QDs of Zn(Te 1 x Se x ) and Zn(Te 1 x S x ) alloys using finite-depth-well EMA and studied the composition and size effects of those alloyed QDs to guide the development of Cd-free II-VI chalcogenide-based QD-phosphors.…”

Section: Introductionmentioning

confidence: 99%

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Design of cadmium-free colloidal II–VI semiconductor quantum dots exhibiting RGB emission

Asano

Omata

2017

AIP Advances

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The size and composition dependence of the optical gap of colloidal alloyed quantum dots (QDs) of Zn(Te1−xSex) and Zn(Te1−xSx) were calculated by the finite-depth-well effective mass approximation method. QDs that exhibited red, green and blue emission were explored to develop cadmium-free II–VI chalcogenide-based QD-phosphors. We considered that highly monodisperse colloidal QDs with diameters of 3–6 nm are easy to synthesize and II–VI semiconductor QDs usually exhibit a Stokes shift ranging between 50 and 150 meV. We showed that Zn(Te1−xSex) QDs with 0.02≤x≤0.68, and 0≤x≤0.06, and 0.66≤x≤0.9 may be expected to exhibit green, and blue emission, respectively. Zn(Te1−xSx) QDs with 0.26≤x≤0.37, 0.01≤x≤0.2 and 0.45≤x≤0.61, 0≤x≤0.02, and 0.63≤x≤0.72, should give red, green and blue emission respectively. On the basis of our calculations, we showed that Zn(Te,Se) and Zn(Te,S) QDs are very promising cadmium-free II-VI chalcogenide semiconductor QD phosphors.

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“…By solving the Schrodinger equation for a spherical particle of radius a, a dispersion relation can be derived as [21] …”

Section: Energy Level Of Spherical Quantum Dotsmentioning

confidence: 99%

Efficiency Improvement of P-I-N Solar Cell by Embedding Quantum Dots

Lin¹,

Kiang²

2014

PIER

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Abstract-A model of solar cell embedding quantum dots in the intrinsic layer of a p-i-n solar cell has been presented. With proper selection of material, size and fractional volume, quantum dots can provide an intermediate band between the valence and conduction bands of the matrix material, which will absorb photons with energy lower than the original bandgap to absorb more incident photons in the otherwise unused spectral irradiance. The design approach to acquire the highest efficiency of the conventional p-i-n solar cell is presented as a benchmark. Quantum dots are then embedded in the intrinsic region of the reference solar cell to improve its efficiency. InAs is chosen to implement the quantum dots, to be embedded in the p-i-n solar cell made of GaAs. With a more packed arrangement of QD's from that in the literatures, the simulation results shows that the efficiency of the conventional GaAs p-i-n solar cell can be increased by 1.05%.

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Finite depth square well model: Applicability and limitations

Cited by 118 publications

References 76 publications

Influences of Size and Relaxation Time on Optical Free Induction Decay in a Small Spherical CdSe/ZnS Quantum Dot Quantum Well

Influences of Size and Relaxation Time on Optical Free Induction Decay in a Small Spherical CdSe/ZnS Quantum Dot Quantum Well

Design of cadmium-free colloidal II–VI semiconductor quantum dots exhibiting RGB emission

Efficiency Improvement of P-I-N Solar Cell by Embedding Quantum Dots

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