Intense laser field effects on a Woods–Saxon potential quantum well

Restrepo, R.L.; Morales, A. L.; Akimov, V.; Tulupenko, V.; Kasapoğlu, E.; Ungan, F.; Duque, C.A.

doi:10.1016/j.spmi.2015.03.070

Cited by 21 publications

(6 citation statements)

References 13 publications

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“…V(z, P) is the Woods-Saxon confinement potential, which is given by [22][23][24]: ´-(eV) is the hydrostatic pressure-dependent energy gap for a GaAs semiconductor at Γ-point, Δ 0 = 0.314 (eV) is the spin-orbit splitting, Q c = 0.6 is the conduction band offset parameter,…”

Section: Theorymentioning

confidence: 99%

Optical properties of Al_xGa_1−xAs/GaAs Woods–Saxon quantum well in the presence of hydrostatic pressure and applied electric field

Zhang¹,

Shi²,

Yuan³

2022

Commun. Theor. Phys.

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The third harmonic generation (THG), linear and nonlinear optical absorption coefficients (OACs), and refractive index changes (RICs) are investigated in a Woods-Saxon quantum well (QW) modulated by the hydrostatic pressure and applied electric field. The effect of non-uniform aluminum doping(position-dependent effective mass (PDEM)) on the mass of the system is discussed, and further to explore the influence of PDEM on the nonlinear THG, OACs, and RICs of the Woods-Saxon QW. These nonlinear optical properties above are obtained using the compact-density matrix formalism. The electron states in a Woods-Saxon QW under the constant effective mass(CEM) and PDEM are calculated by solving Schrödinger equation via the finite difference technique. The contributions from competing effects of the hydrostatic pressure and applied electric field to the nonlinear optical properties with CEM and PDEM are reported, as well as the comparison with each other. The observations reveal that the regulation of external fields and the influence of PDEM play an important role in the photoelectric properties of QW.

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Section: Theorymentioning

confidence: 99%

Optical properties of Al_xGa_1−xAs/GaAs Woods–Saxon quantum well in the presence of hydrostatic pressure and applied electric field

Zhang¹,

Shi²,

Yuan³

2022

Commun. Theor. Phys.

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“…In the high‐frequency regime, Eq. can be recast into the form :

[- \frac{ℏ^{2}}{2 m^{*}} \frac{{normald}^{2}}{d z^{2}} + 〈 V (z, α_{0}) 〉 + | e | Fz] ϕ false(z false) = E ϕ false(z false) .

Here,

〈 V false(z, α_{0} false) 〉

is the laser‐dressed confinement potential emphasizing the fact that the particle 𠄌feels𠄍 only the time average of the rapidly oscillating potential with period

T = 2 π / Ω

and given as

〈 V false(z, α_{0} false) 〉 = 1 / T \int_{0}^{T} V false(z + α false(t false) false) normald t .

Extended details and discussions can be found in some works and references therein.…”

Section: Theory and Formalismmentioning

confidence: 99%

“…One of the most interesting properties in the study of low‐dimensional systems is the explore of the influence of spatial confinement on the energy spectra of the physical system . Among various confinement potentials, owing to its adjustable well depth and asymmetry, Morse potential stands as a remarkable structure for the survey of the reflections of the geometrical shape asymmetry and the nonlinear optical response of quantum wells.…”

Section: Introductionmentioning

confidence: 99%

Intense laser field-induced nonlinear optical properties of Morse quantum well

Şakiroğlu

Kasapoğlu

Restrepo

et al. 2016

Phys. Status Solidi B

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Abstractauthoren This paper investigates the effects of an intense laser field and electric field on the optical properties of quantum well represented by Morse potential. The non‐resonant, high‐frequency intense laser effects upon the system are treated within the framework of non‐perturbative approach, modifying the confinement potential associated to the heterostructure. The analytical expressions of the linear and third‐order nonlinear optical absorption coefficients and refractive index changes are obtained by using the compact‐density matrix formalism. The results for a typical GaAs quantum well correspond to several configurations of the structural parameter, the strengths of the intense laser radiation, and the static electric field. Numerical results reveal the striking influence of the external fields on the magnitude and resonant peak energy positions of the optical absorption coefficients and refractive index changes. Besides, the control of intersubband optical transitions by the structure parameter seems feasible.

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“…Undoubtedly these developments have pushed the theoretical investigation beyond the use of traditional infinite and oscillator wells to mimic the real confininng potentials. More realistic potential models such as the Pöschl-Teller, Morse and Woods-Saxon interactions are now been used to provide insight into the dynamics of the confined electrons and excitons in quantum heterostructures [4,[6][7][8][9][10][11][12][13]. In recent times, the Woods-Saxon potential has been used successfully to describe nonlinear optical properties such as optical rectification, refractive index and harmonic generations in quantum nanostructures subjected to external fields [9,[14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Complex partition function of 1-dimensional Dirac particle confined in Woods-Saxon interaction

Ibrahim,

Oladimeji,

Koffa

et al. 2024

Phys. Scr.

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We present the bound state solutions of one-dimensional Schr"{o}dinger and Dirac equations for a particle confined in Woods-Saxon potential. In each case the wavefunctions and the energy eigenvalues have been obtained in terms of the Jacobi polynomials by using the Nikiforov-Uvarov method. The complex eigenenergy obtained from the Dirac equation is explicitly shown to contain the nonrelativistic energies plus complex relativistic correction terms. The quantum partition functions obtained using the relativistic and the nonrelativistic energieshave been used to generate important thermodynamic properties of the system in the high temperature limit. In particular, the complex partition function obtained in the relativistic regime is taken to indicate some important physical effects in the system.

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Intense laser field effects on a Woods–Saxon potential quantum well

Cited by 21 publications

References 13 publications

Optical properties of Al_xGa_1−xAs/GaAs Woods–Saxon quantum well in the presence of hydrostatic pressure and applied electric field

Optical properties of Al_xGa_1−xAs/GaAs Woods–Saxon quantum well in the presence of hydrostatic pressure and applied electric field

Intense laser field-induced nonlinear optical properties of Morse quantum well

Complex partition function of 1-dimensional Dirac particle confined in Woods-Saxon interaction

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Intense laser field effects on a Woods–Saxon potential quantum well

Cited by 21 publications

References 13 publications

Optical properties of Al x Ga1−x As/GaAs Woods–Saxon quantum well in the presence of hydrostatic pressure and applied electric field

Optical properties of Al x Ga1−x As/GaAs Woods–Saxon quantum well in the presence of hydrostatic pressure and applied electric field

Intense laser field-induced nonlinear optical properties of Morse quantum well

Complex partition function of 1-dimensional Dirac particle confined in Woods-Saxon interaction

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Product

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Optical properties of Al_xGa_1−xAs/GaAs Woods–Saxon quantum well in the presence of hydrostatic pressure and applied electric field

Optical properties of Al_xGa_1−xAs/GaAs Woods–Saxon quantum well in the presence of hydrostatic pressure and applied electric field