Effect of position-dependent effective mass on nonlinear optical properties in a quantum well

Li, Keyin; Jiang, Xiancong

doi:10.1016/j.ijleo.2016.12.011

Cited by 40 publications

(16 citation statements)

References 23 publications

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“…Within the framework of the effective mass approximation, the position dependent mass Schrödinger equation can be given by

\begin{array}{r} center & - [\frac{ℏ^{2}}{2 m (z)}] \frac{d^{2} ψ (z)}{d z^{2}} - \frac{d}{d z} [\frac{ℏ^{2}}{2 m (z)}] \frac{d ψ (z)}{d z} + V (z) ψ (z) \\ center \end{array} = E ψ true(z true)

where m ( z ) is the electron PDM and V ( z ) is the QW Gaussian potential which is defined as follows:

V true(z true) = - V_{0} e^{- z^{2} / L^{2}}

…”

Section: Theoretical Frameworkmentioning

confidence: 99%

“…Also, it has been shown that the developed model can be easily expanded to semiconductor heterostructures . The effect of spatially dependent effective mass in QW structures has become of increasing experimental and theoretical interest . The effects of the position‐dependent effective mass on the optical properties in parabolic QWs have been calculated by Herling and Rustgi, and they have stated that the bound energy levels are lowered with respect to those with constant effective mass .…”

Section: Introductionmentioning

confidence: 99%

“…Also, Yu and collaborators have carried out the solutions of the PDM Schrödinger equation for the Morse potential by expanding the potential and PDM themselves in a series about the origin . Recently, the effect of PDM on the nonlinear optical properties in a GaAs/AlAs semiconductor QW was intensively studied by Li et al Their results show that electron PDM has a significant impact on the electronic and nonlinear optical properties of the system. In other studies, Pradhan et al have considered the effect of the ILF irradiation on the electronic structure of a single QW, whilst Panda et al have calculated the electronic states in the laser‐dressed hexagonal and cubic single QWs using the effective mass equation.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

Sarı

Kasapoğlu

Şakiroğlu

et al. 2019

Physica Status Solidi (b)

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In this paper, the effects of the intense laser field (ILF) and position dependent mass (PDM) on the electronic structure in a Gaussian quantum well are theoretically deduced by using the diagonalization method for obtaining energy levels and corresponding wave functions. We find that, in the case of narrow PDM distribution, the dependence of the energy levels on the effective length of the electron mass distribution becomes more apparent, and the evolution of the dressed mass with ILF is significant. Given this feature, it is more meaningful to take into consideration the PDM of the electron in the low dimensional semiconductor heterostructures under the ILF.

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“…Within the framework of the effective mass approximation, the position dependent mass Schrödinger equation can be given by

\begin{array}{r} center & - [\frac{ℏ^{2}}{2 m (z)}] \frac{d^{2} ψ (z)}{d z^{2}} - \frac{d}{d z} [\frac{ℏ^{2}}{2 m (z)}] \frac{d ψ (z)}{d z} + V (z) ψ (z) \\ center \end{array} = E ψ true(z true)

where m ( z ) is the electron PDM and V ( z ) is the QW Gaussian potential which is defined as follows:

V true(z true) = - V_{0} e^{- z^{2} / L^{2}}

…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Sarı

Kasapoğlu

Şakiroğlu

et al. 2019

Physica Status Solidi (b)

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show abstract

“…[ 15 ] The number of studies that examine the properties of a spherical quantum dot having exponential PDM function can be increased. [ 16–18 ] Quantum dots with an infinite barrier in all these studies have been considered, and their common outcome is that, even if an electron with PDM does not have a confinement potential, it acts as if it is in a potential due to its PDM function, and the PDM function leads to the formation of bound states, and thus, parameters of PDM function crucially affect optical properties. When taking into consideration that the reason why a particle has effective mass is the total interactions in an environment, it is better understood that the PDM concept originates from the environment.…”

Section: Introductionmentioning

confidence: 99%

Optical analysis of quantum dot with velocity‐dependent potential

Bahar

Ungan

Kaya

et al. 2020

Int J of Quantum Chemistry

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In this study, for the first time, the velocity‐dependent potential (VDP) effects on the total refractive index changes (TRICs) and the total absorption coefficients (TACs) of the parabolic quantum dot with spherical confinement, generated by GaAs/GaAlAs heterostructure, are comprehensively investigated. In order to obtain the subband energy spectra and the electronic wave function of the quantum dot system, the wave equation is numerically solved due to the VDP's complexity by using Runge‐Kutta‐Fehlberg method within the effective mass approximation. The nonlinear optical specifications of the quantum dot with velocity‐dependent potential (QDVDP) are analyzed using the compact density matrix formalism within the framework of the iterative method. To investigate the optical specifications of QDVDP, the isotropic form factor of VDP is taken into consideration as the harmonic oscillator type, F(r) = γρ0r2 (being γ and ρ0 are constants). Optical analysis is also executed for parabolic encompassing under the influence of VDP, as well as VDP, analyzing for TRICs and TACs of QDVDP, for which the result is quite a change compared to cases without VDP due to the symmetry‐breaking repercussion on system confinement of VDP. The main motivation of the present study is to clearly distinguish VDP effects on optical properties of the quantum dot, carrying out an analysis on optimal range and alternative parameter for optical properties.

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“…The nonlinear optical properties of QWs, in particular optical absorption coefficients (OACs), the change of index changes (RICs), second (SHG) and third harmonic generations (THG) or nonlinear optical rectification (NOR), have attracted a lot of attention in theoretical studies in recent years [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. For example, Aytekin et.…”

Section: Introductionmentioning

confidence: 99%

Kısa Erimli Dipsiz Üstel Potansiyelli Bir Kuantum Kuyusunun Doğrusal Olmayan Optiksel Özellikleri

Ungan

2018

Cumhuriyet Science Journal

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In the present study, the effect of the depth of the confinement potential on the nonlinear optical of a GaAs quantum well with short-range bottomless exponential potential is studied in detail. The energy eigenvalues and eigenfunctions of this structure are calculated within the framework of effective mass and envelope function approximations. Analytic formulas for the linear, third-order nonlinear and total absorption coefficients and relative refractive index changes are obtained using the compact-density matrix approach (CDMA) and iterative method. Based on this model, our obtained numerical results are reported as a function of incident photon energy for several values of the depth of the confinement potential. The results show that the linear, third order nonlinear, and total absorption coefficients and relative refractive index changes are strongly affected by the depth of the confinement potential.

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Effect of position-dependent effective mass on nonlinear optical properties in a quantum well

Cited by 40 publications

References 23 publications

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

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

Optical analysis of quantum dot with velocity‐dependent potential

Kısa Erimli Dipsiz Üstel Potansiyelli Bir Kuantum Kuyusunun Doğrusal Olmayan Optiksel Özellikleri

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