Hydrogenic Donor in a Spherical Quantum Dot with Different Confinements

Peter, A. John; Navaneethakrishnan, K.

doi:10.1088/0256-307x/26/8/087302

Cited by 13 publications

(5 citation statements)

References 17 publications

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“…Michels et al (1937) have proposed the first and simple model of atomic confinement. The pioneering works of Chuu et al (1992), Porras-Montenegro and Pérez-Merchancano (1992), Zhu et al (1990), Zhu and Chen (1994), and other works realized by Varshni (1998Varshni ( , 1999, Peter and Navaneethakrishnan (2009), have investigated the states of hydrogenic, helium and heliumlike systems as impurities in quantum dots. The electronic states in quantum dots is observed to be tailored by its radius and shape (Daniela et al 1993, Pandey et al 2004, Liu Dong-Ming and Wen-Fang 2009, Sergio and Rodolfo 2010, Yakar et al 2011.…”

Section: Introductionmentioning

confidence: 99%

Electric dipole polarizability of two electron quantum dots and endohedrally confined helium and helium-like atoms

Melono

Lukong

Motapon

2018

J. Phys. B: At. Mol. Opt. Phys.

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The energy levels, electric dipole polarizabilities of helium/helium-like quantum dots and endohedrally confined helium/helium-like atoms are studied via a configuration interaction method coupled with a B-spline based variational approach. The systems are characterized by their energies and the results compared with those reported in literature. The electric dipole polarizability sensitivity is observed to be tailored by the parameters characterizing the electronic confinement which as well quenches the nuclear effects on the behavior of the system when it is subjected to an external electric field. For the quantum dots, the polarizability decreases with the confinement strengthening while the endohedral confinement strengthening is observed to enhance the dipole polarizability.

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Section: Introductionmentioning

confidence: 99%

Electric dipole polarizability of two electron quantum dots and endohedrally confined helium and helium-like atoms

Melono

Lukong

Motapon

2018

J. Phys. B: At. Mol. Opt. Phys.

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“…x \left.\right) - E_{1 p}^{\text{sub}} \left.\right) / �?^{2}}$$where

E_{1 s}^{\text{sub}}

and

E_{1 p}^{\text{sub}}

are the 1 s ‐ground state and 1 p ‐excites state subband energies, and these energies are found from the ground and excited state transcendental equations, respectively. [ 41,47 ] Energies are given as follows for 1 s and 1 p impurity states [ 13 ]

E_{1 s}^{\text{imp}} = \left(\text{min}\right)_{\left(\lambda\right)_{1 s} \textrm{ }} \psi_{1 s}^{\text{imp}} \text{|} H^{A = 1 , B = 0} \text{|} \psi_{1 s}^{\text{imp}} / \psi_{1 s}^{\text{imp}} \text{|} \psi_{1 s}^{\text{imp}}

and

E_{1 p}^{\text{imp}} = \left(\text{min}\right)_{\left(\lambda\right)_{1 p} \textrm{ }} \psi_{1 p}^{\text{imp}} \text{|} H^{A = 1 , B = 1} \text{|} \psi_{1 p}^{\text{imp}} / \psi_{1 p}^{\text{imp}} \text{|} \psi_{1 p}^{\text{imp}}

The intradonor transition energy between ground state 1 s and excited state 1 p is defined as [ 43,47 ]

…”

Section: Theorymentioning

confidence: 99%

“…where E sub 1s and E sub 1p are the 1s-ground state and 1p-excites state subband energies, and these energies are found from the ground and excited state transcendental equations, respectively. [41,47] Energies are given as follows for 1s and 1p impurity states [13]…”

Section: Theorymentioning

confidence: 99%

“…In recent years, the investigation of the physical and optical properties of quantum wells (QWWs), wires (QWs), and dots (QDs) made of different materials has been of great importance in heterostructures, and many theoretical and experimental studies have been carried out for these structures. [1][2][3][4][5][6][7][8][9][10][11][12][13][14] In particular, QDs based on GaAs/GaAlAs (QD1), InAs/InGaAs (QD2), InAs/InAlAs (QD3), and InP/InGaP (QD4), which are composed of semiconductor materials, are widely used in various application areas, especially in microelectronic and optoelectronic devices. [15][16][17][18][19][20] Also, impurities play an important role in understanding the optical and electronic properties of such structures.…”

Section: Introductionmentioning

confidence: 99%

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Calculation of Intradonor Normalized Transition Energy in Spherical Quantum Dots Made of Different Materials

Mese

Cicek

Özkapı

et al. 2023

Physica Status Solidi (b)

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Under the effective mass approximation, the binding energies, transition energies between 1s and 1p states, and normalized transition energies of spherical quantum dots made of different materials are calculated using the variational method. In particular, binding, transition, and normalized transition energies are examined depending on the radius of the quantum dot and the position of the hydrogenic impurity. It is observed that the binding energy and transition energy decrease as the radius of the quantum dot increases, whereas the normalized transition energy increases. In all four different structures, it is seen that the binding energy first reaches a maximum and then starts to decrease according to the position of the hydrogenic impurity. In contrast, the transition energy behaves almost the opposite. Additionally, when the change of the normalized transition energy is examined according to the impurity position, it is determined that it decreases up to the value of ri/R = 0.6 and then remains almost constant. According to our literature review, the normalized transition energy for the four different quantum dots is calculated for the first time in this study.

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“…These physical parameters are well-known for the GaAs material. According to Peter (2009) [24], m å = 0.067m 0 and ε = 13.3, with m 0 being the mass of a free electron. Other materials are also used in the manufacturing of quantum dots, including materials such as InAs, InSb, CdTe.…”

Section: Theoretical Descriptionmentioning

confidence: 99%

Shape and quantum size effects on the electronic structure, oscillator strengths and state lifetimes of helium-like quantum dots

Doba,

Melingui Melono,

Motapon

2023

Phys. Scr.

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Transition energies, electric static polarizability, oscillator strengths and state lifetimes of helium-like quantum dots are determined as a function of their shape and size. A configuration interaction approach based on B-spline functions is used. We found that, the oscillator strengths present an extremum around a low value of the dot radius whatever the shape of the confining potential. This extremum is due to the pressure on the energy levels in such a way that for a particular value of the dot radius, the second electron in the excited one-electron state reaches the borders of the confinement potential. The extremum position depends on the impurity charge and the oscillator strength value at this point changes with the potential well shape. As well, the increase of the effective mass involves the shift of the position of the oscillator strength extremum towards weak radius values. The first excited state lifetime globally increases with the dot radius and the reduction of the nuclear charge but presents a shoulder for a certain low value of the dot radius mostly marked for a triangular form of the confining potential.

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Hydrogenic Donor in a Spherical Quantum Dot with Different Confinements

Cited by 13 publications

References 17 publications

Electric dipole polarizability of two electron quantum dots and endohedrally confined helium and helium-like atoms

Electric dipole polarizability of two electron quantum dots and endohedrally confined helium and helium-like atoms

Calculation of Intradonor Normalized Transition Energy in Spherical Quantum Dots Made of Different Materials

Shape and quantum size effects on the electronic structure, oscillator strengths and state lifetimes of helium-like quantum dots

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