Energy Levels in Nanowires and Nanorods with a Finite Potential Well

Gulyamov, G.; Gulyamov, A. G.; Davlatov, A. B.; Juraev, Kh. N.

doi:10.1155/2020/4945080

Cited by 13 publications

(6 citation statements)

References 51 publications

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“…Two methods were used to calculate electron energy for cylindrical layers of different radii. Electron and hole energy in cylindrical layers of constant thickness depended weakly on the inner radius, based on an analysis of the dependence of electron and hole energy on inner and outer radii [10]. Betancourt-Riera et al studied the electronic states of a core/shell semiconductor quantum well wire using Raman scattering of electrons.…”

Section: Introductionmentioning

confidence: 99%

Electronic states in GaAs/AlGaAs/GaAs core/shell cylindrical quantum wires

Qasem,

Machichi,

Touiss

et al. 2024

Phys. Scr.

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Cylindrical quantum wires (CQWRs) based on GaAs/AlGaAs/GaAs core/shell semiconductors are multilayer semiconductor nanostructures that exhibit interesting electronic properties. In this study, we explore in detail the electronic band structure and electronic transmission spectrum in these core/shell CQWRs in relation to various parameters such as inner and outer shell radius and aluminum-doping rate. Using Green's function formalism, an advanced theoretical approach to solving Schrödinger's equation in the effective mass approximation, taking into account the confinement potential of the cylindrical geometry. The results show that as the difference between the outer and inner radii of the shell increases, the number of electronic states increases due to the weakening of geometric confinement. In addition, as the concentration of Aluminum in the shell increases, the electronic states move to higher energies, due to the increase in confinement by the height of the potential. This study aims to provide an overview of the electronic states in core/shell nanowires, due to modification in Al molar concentration and shell size; they offer advantages such as better electronic transmission. We can control the electronic band structure of this nanowire, which can be used to fabricate high-performance electronic devices such as transistors, diodes and sensors.

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Section: Introductionmentioning

confidence: 99%

Electronic states in GaAs/AlGaAs/GaAs core/shell cylindrical quantum wires

Qasem,

Machichi,

Touiss

et al. 2024

Phys. Scr.

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“…The confinement of electrons and holes in potential wells results in the quantization of energy levels, which can be obtained by solving the Schrödinger equation [1][2][3]. Several approaches have been employed to solve this equation, including graphical methods [15][16][17], and various approximate techniques [18][19][20][21][22][23][24][25][26][27][28][29] numerical solutions [30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

“…For instance, Alharbi [31] utilized the finite difference method to investigate the effects of nonparabolicity on the energy states in quantum wells. Harrison [32] and Gulyamov et al [33,34] employed the shooting method to calculate the energy levels and wave functions in nanowires and quantum wells. Barsan and Ciornei [28] provided approximate analytical results for semiconductor quantum wells considering the BenDaniel-Duke boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Unraveling the effects of non-parabolicity on electron energy levels in InP/InAs/InP heterostructures

Davlatov,

Gulyamov,

Nabiyev

et al. 2024

Phys. Scr.

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In this research, electron energy levels were calculated analytically using Nelson's formula, the shooting method, and Garrett's formula for effective mass. These calculations were performed for a rectangular finite deep potential well, focusing on the InP/InAs/InP heterostructure, which is a narrow-bandgap semiconductor system. Our results demonstrate that the nonparabolicity of the dispersion has a more significant effect on higher energy levels compared to lower ones, with deviations of up to 15% for the third energy level. An equation estimating the number of observable energy levels in the potential well is suggested, revealing that considering nonparabolicity leads to a 20% increase in the number of levels compared to the parabolic dispersion case. The relationship between the widths of infinite and finite potential wells for equivalent energy levels follows a linear behaviour, with bonding coefficients ranging from 95,93% to 97,49% and a maximum difference of 1.5% between parabolic and non-parabolic cases. The transcendental equation for the energy levels is linearized, yielding a fourth-order equation that provides results within 98% accuracy compared to the original equation. These findings contribute to the understanding of the energy distribution in InP/InAs/InP heterostructures with a view to their application in optoelectronic devices such as lasers, light-emitting diodes

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“…Semiconductor nanowires (NWs) continue to garner significant interest in various applications ranging from nextgeneration electronics to nanoscale probes for biological systems [1,2,3,4]. With cross-sectional dimensions tailorable to a few nanometers, these systems allow quantum confinement effects to emerge as electrons become quantized into discrete energy levels [5,6,7]. In particular, core-shell nanowires give rise to additional quantum effects since mobile two-dimensional electron gases (2DEGs) can form at the semiconductor-semiconductor heterojunction interface [8,9,10,11,12,13].…”

Section: Introductionmentioning

confidence: 99%

HADOKEN: An open-source software package for predicting electron confinement effects in various nanowire geometries and configurations

2022

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We present an open-source software package, HADOKEN (High-level Algorithms to Design, Optimize, and Keep Electrons in Nanowires), for predicting electron confinement/localization effects in nanowires with various geometries, arbitrary number of concentric shell layers, doping densities, and external boundary conditions. The HADOKEN code is written in the MATLAB programming environments to aid in its readability and general accessibility to both users and practitioners. We provide several examples and outputs on a variety of different nanowire geometries, boundary conditions, and doping densities to demonstrate the capabilities of the HADOKEN software package. As such, the use of this predictive and versatile tool by both experimentalists and theorists could lead to further advances in both understanding and tailoring electron confinement effects in these nanosystems.

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Energy Levels in Nanowires and Nanorods with a Finite Potential Well

Cited by 13 publications

References 51 publications

Electronic states in GaAs/AlGaAs/GaAs core/shell cylindrical quantum wires

Electronic states in GaAs/AlGaAs/GaAs core/shell cylindrical quantum wires

Unraveling the effects of non-parabolicity on electron energy levels in InP/InAs/InP heterostructures

HADOKEN: An open-source software package for predicting electron confinement effects in various nanowire geometries and configurations

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