Effect of Intense Laser Field in Gaussian Quantum Well With Position‐Dependent Effective Mass

Sarı, H.; Kasapoğlu, E.; Şakiroğlu, S.; Sökmen, I.; Duque, C.A.

doi:10.1002/pssb.201800758

Cited by 14 publications

(4 citation statements)

References 71 publications

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“…It is important to highlight that among the reasons that have motivated us to choose this model of effective mass that decreases with the absolute value of the z-coordinate and that presents the same GaAs effective mass at point z = 0 are the following: (i) it is a model where the spatial dependence of the effective mass adapts very well to the profile of the probability density for the ground state, and (ii) it is an effective mass model that gives a very good account of the presence of singularities in the confinement potential. Sari et al have used a model with Gaussian mass distribution in quantum wells and quantum dots with Gaussian-like confinement potential [24,25]. It is well known that in a model of effective mass theory, a direct connection can be established between the electron effective mass and the gap energy of the respective semiconductor.…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Position-Dependent Effective Mass and Asymmetry Effects on the Electronic and Optical Properties of Quantum Wells with Improved Rosen–Morse Potential

Kasapoglu,

Yücel,

Duque

2023

Condensed Matter

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In this study, we investigated, for the first time, the effects of the spatially varying effective mass, asymmetry parameter, and well width on the electronic and optical properties of a quantum well which has an improved Rosen–Morse potential. Calculations were made within the framework of the effective mass and parabolic band approximations. We have used the diagonalization method by choosing a wave function based on the trigonometric orthonormal functions to find eigenvalues and eigenfunctions of the electron confined within the improved Rosen–Morse potential. Our results show that the position dependence mass, asymmetry, and confinement parameters cause significant changes in the electronic and optical properties of the structure we focus on since these effects create a significant increase in electron energies and a blue shift in the absorption spectrum. The increase in energy levels enables the development of optoelectronic devices that can operate at wider wavelengths and absorb higher-energy photons. Through an appropriate choice of parameters, the Rosen–Morse potential offers, among many advantages, the possibility of simulating heterostructures close to surfaces exposed to air or vacuum, thus giving the possibility of substantially enriching the allowed optical transitions given the breaking of the system´s symmetries. Similarly, the one-dimensional Rosen–Morse potential model proposed here can be extended to one- and zero-dimensional structures such as core/shell quantum well wires and quantum dots. This offers potential advancements in fields such as optical communication, imaging technology, and solar cells.

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Section: Theoretical Frameworkmentioning

confidence: 99%

Position-Dependent Effective Mass and Asymmetry Effects on the Electronic and Optical Properties of Quantum Wells with Improved Rosen–Morse Potential

Kasapoglu,

Yücel,

Duque

2023

Condensed Matter

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“…Among the broad spectrum of applications [14][15][16][17][18][19], the study of heterostructures has been one particularly standing out [20][21][22][23]. Quantum dots (microscopic structures in which the electrons dynamics are strongly restricted in space) can be modelled by considering charge carriers with position-dependent masses [20,[24][25][26][27]. The electronic and optical properties of these nanostructures can be engineered and fine tuned by changing their size and shape [28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional bound states of cylindrical quantum heterostructures with position-dependent mass carriers

Christiansen,

Lima

2023

Phys. Scr.

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We present a comprehensive spectral analysis of cylindrical quantum heterostructures by considering effective electronic carriers with position-dependent mass for five different kinetic-operator orderings. We obtain the bound energy eigenstates of particles in a three-dimensional cylindrical nanowire under a confining hyperbolic potential with both open and closed boundary conditions in the radial and the axial directions. In the present model we consider carriers with continuous mass distributions within the dot with abrupt mass discontinuities at the barriers, moving in a quantum dot that connects different substances. Continuity of mass and potential at the interfaces with the external layers result as a particular case. Our approach is mostly analytical and allows a precise comparison among von Roos ordering classes.

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“…In materials such as heterostructures, the particles in the materials possess position-dependent effective mass (PDM) caused DOI: 10.1002/andp.202300363 by the unique fabrication of the material. [1][2][3][4][5][6][7][8][9][10][11] Heterostructures are composite materials composed of distinct layers of different semiconductor materials stacked together with precise control at the atomic level. These structures are widely used in various electronic and optoelectronic devices due to their unique properties, such as bandgap engineering and confinement effects.…”

Section: Introductionmentioning

confidence: 99%

A Non‐Standard Coupling Between Quantum Systems Originated From Their Kinetic Energy

Shushi

2023

Annalen der Physik

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In standard quantum mechanics, the coupling between quantum systems is described by a potential interaction term in the Hamiltonian. This type of coupling is well‐rooted in nature and shapes the universe around us, from the interactions between single photons to the attractive force between atoms that forms molecules. Quantum mechanics does not forbid other kinds of interactions to take place. In this paper, a non‐standard quantum coupling between quantum systems is proposed, originated from the kinetic energy rather than the potential interaction in the Hamiltonian. Unlike the potential‐based coupling, the proposed coupling changes the fundamental structure of quantum mechanics in the form of modified uncertainty relations that are shaped by the coupling between the particles in the system. Two prototypical examples of non‐standard systems that perform such kinetic‐based coupling are presented. In the first example, it considers a particle confined in a heterostructure, such as a quantum dot, where the coupling is between the particle and dynamic walls that determine the size of the heterostructure. The second example involves a particle in a 3D heterostructure with coupling between its position axes. It then discusses several future implications of the proposed type of non‐standard coupling.

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Effect of Intense Laser Field in Gaussian Quantum Well With Position‐Dependent Effective Mass

Cited by 14 publications

References 71 publications

Position-Dependent Effective Mass and Asymmetry Effects on the Electronic and Optical Properties of Quantum Wells with Improved Rosen–Morse Potential

Position-Dependent Effective Mass and Asymmetry Effects on the Electronic and Optical Properties of Quantum Wells with Improved Rosen–Morse Potential

Three-dimensional bound states of cylindrical quantum heterostructures with position-dependent mass carriers

A Non‐Standard Coupling Between Quantum Systems Originated From Their Kinetic Energy

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