Binding energy and optical properties of an off-center hydrogenic donor impurity in a spherical quantum dot placed at the center of a cylindrical nano-wire

Safarpour, Gh.; Barati, Mansoor; Zamani, Ali; Niknam, E.

doi:10.1016/j.jlumin.2013.09.002

Cited by 16 publications

(3 citation statements)

References 35 publications

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“…In the case of a spherical QD with infinitely rectangular walls, when the impurity center is localized in the center of the QD, the problem can be solved analytically [ 17 ]. However, even a small displacement of the impurity from the center of the QD leads to mathematical difficulties and the problem has to already be solved within the framework of the variational method or in the approximation of the perturbation theory [ 18 , 19 , 20 ].…”

Section: Introductionmentioning

confidence: 99%

Long-wave Absorption of Few-Hole Gas in Prolate Ellipsoidal Ge/Si Quantum Dot: Implementation of Analytically Solvable Moshinsky Model

et al. 2020

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In this paper, the behavior of a heavy hole gas in a strongly prolate ellipsoidal Ge/Si quantum dot has been investigated. Due to the specific geometry of the quantum dot, the interaction between holes is considered one-dimensional. Based on the adiabatic approximation, it is shown that in the z-direction, hole gas is localized in a one-dimensional parabolic well. By modeling the potential of pair interaction between holes in the framework of oscillatory law, the problem is reduced to a one-dimensional, analytically solvable Moshinsky model. The exact energy spectrum of the few-hole gas has been calculated. A detailed analysis of the energy spectrum is presented. The character of long-wave transitions between the center-of-mass levels of the system has been obtained when Kohn theorem is realized.

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Section: Introductionmentioning

confidence: 99%

Long-wave Absorption of Few-Hole Gas in Prolate Ellipsoidal Ge/Si Quantum Dot: Implementation of Analytically Solvable Moshinsky Model

et al. 2020

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“…Zhao and Liang [29] investigated the phonon effect on hydrogenic impurity states in cylindrical quantum wires. The binding energy and optical properties of an off-center hydrogenic donor impurity in an InAs spherical quantum dot placed at the center of a GaAs cylindrical nanowire were investigated in [30]. Bryant [31] and Brown et al [32] calculated the binding energies of the impurity states in quantum well wires of cylindrical and rectangular cross-section, respectively.…”

Section: Introductionmentioning

confidence: 99%

Energy gap renormalization and diamagnetic susceptibility in quantum wires with different cross-sectional shape

et al. 2016

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In this study, we investigate the effect of the cross-sectional shape on the energy gap renormalization and diamagnetic susceptibility in various quantum wires. To this end, we consider quantum wires with different cross-sectional shapes such as circular, square, hexagonal, and triangular. First, we employ the finite-element method and Arnoldi algorithm to solve the Schrödinger equation. Then, we calculate the energy levels, wavefunctions, binding energy, energy gap renormalization, and diamagnetic susceptibility. Our numerical results show that the binding energy decreases when the cross-sectional area is increased for all the quantum wires. Moreover, it is inferred that the cross-sectional shape is not important for large crosssectional area when calculating the binding energy. Indeed, the main parameter is the cross-sectional area rather than the length of a side. The energy gap renormalization decreases with increasing cross-sectional area, regardless of the impurity concentration. We observe that the highest and lowest energy gap renormalization correspond to triangular and circular quantum wires, respectively. The absolute value of the diamagnetic susceptibility increases with increasing crosssectional area for all the quantum wires investigated.

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“…Therefore, many authors have studied the binding energies, the effects of electric and magnetic field and other physical properties of oneelectron QD with various size and shapes [1][2][3][4][5][6]. In one-electron QDs, linear and nonlinear absorption coefficients have attracted the attention of researchers both experimentally and theoretically [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25], because QDs have the potential for the device applications such as farinfrared photodetectors, laser amplifiers(wavelength 10m), optical memories, light emitting diodes and high-speed electrooptical modulators [26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Linear and nonlinear absorption coefficients of spherical two-electron quantum dot

Yakar

Çakır

Özmen

2015

Computer Physics Communications

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Binding energy and optical properties of an off-center hydrogenic donor impurity in a spherical quantum dot placed at the center of a cylindrical nano-wire

Cited by 16 publications

References 35 publications

Long-wave Absorption of Few-Hole Gas in Prolate Ellipsoidal Ge/Si Quantum Dot: Implementation of Analytically Solvable Moshinsky Model

Long-wave Absorption of Few-Hole Gas in Prolate Ellipsoidal Ge/Si Quantum Dot: Implementation of Analytically Solvable Moshinsky Model

Energy gap renormalization and diamagnetic susceptibility in quantum wires with different cross-sectional shape

Linear and nonlinear absorption coefficients of spherical two-electron quantum dot

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