A study of two confined electrons using the Woods–Saxon potential

Xie, Wenfang

doi:10.1088/0953-8984/21/11/115802

Cited by 47 publications

(23 citation statements)

References 33 publications

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“…(33) that the linear relative change in refractive index does not depend on photon intensity but the third order relative change in refractive index changes with photon intensity and it varies quadratically with the matrix element of the electric dipole moment of the transition. Thus, the nonlinear term must be considered when calculating the refractive index changes of low dimensional semiconductor systems in which the incident light propagates along the z-axis [27]. Thus, the nonlinear term must be considered when calculating the refractive index changes in low dimensional semiconductor systems.…”

Section: Resultsmentioning

confidence: 99%

Polaron Effects on Nonlinear Optical Properties of a Hydrogenic Impurity in a CdTe/ZnTe Quantum Dot

Parvathi¹,

Peter

2013

Acta Phys. Pol. A

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Hydrogenic donor impurity binding energy is obtained in a ZnxCd1−xTe/ZnTe strained quantum dot taking into account the phonon connement eect. The interaction of the electron and the phonon modes are expressed in terms of the Fröhlich interaction Hamiltonian. The binding energy is obtained for various Zn composition using the AldrichBajaj eective potential. Calculations have been obtained using the Bessel function as an orthonormal basis for dierent connement potentials of barrier height considering the internal electric eld induced by the spontaneous and piezoelectric polarizations. Polaron induced linear and third-order nonlinear optical absorption coecients and the changes of refractive index as a function of incident photon energy are observed. Our results coincide with the recent observations of a hydrogenic impurity binding energy in a CdTe/ZnTe quantum dot solved analytically. It is observed that the potential taking into account the eects of phonon makes the hydrogenic binding energies larger than the obtained results using a Coulomb potential screened by a static dielectric constant and the optical properties of hydrogenic impurity in a quantum dot are strongly aected by the conning potential and the quantum size. It is found that the geometry of the quantum dot, zinc concentration and the eect of phonon have a great inuence on the absorption coecient and refractive index changes of the dot. It is also observed that the magnitude of the absorption coecients enhances with the inclusion of phonon eect.

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Section: Resultsmentioning

confidence: 99%

Polaron Effects on Nonlinear Optical Properties of a Hydrogenic Impurity in a CdTe/ZnTe Quantum Dot

Parvathi¹,

Peter

2013

Acta Phys. Pol. A

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“…This figure has been drawn with the combining effects of two components of refractive index, namely, Dn ð1Þ ðvÞ n r and Dn ð3Þ ðvÞ n r as a function of incident energy for different values of electric field with a constant incident optical intensity. Thus, the total refractiveindex changes shift toward the lower energies with the increase of electric field for the donor impurity [27] which leads to the significant asymmetry of the confinement potential. Also, it is noted from Eqs.…”

Section: Absorption Coefficients and Refractionindex Changesmentioning

confidence: 99%

Electric‐field‐induced optical absorption and refractive‐index changes of a shallow hydrogenic impurity in an InAs/GaAs quantum wire

Arunachalam

Peter

2011

Physica Status Solidi (b)

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The effect of electric-field strength on the binding energy of a hydrogenic impurity in an InAs/GaAs quantum wire is discussed. Calculations have been performed using Bessel functions as an orthonormal basis within a single-band effective-mass approximation. The electric-field-induced photoionization cross section of the hydrogenic impurity is investigated. The total optical absorption and the refractiveindex changes as a function of normalized photon energy between the ground and the first excited state under the influence of an electric field are analyzed. The optical absorption coefficients and the refractive-index changes strongly depend on the incident optical intensity and the electric-field intensity.1 Introduction A remarkable amount of work is devoted to the study the low-dimensional heterostructures such as quantum wells, quantum-well wires, and quantum dots due to their interesting basic physical properties and the possible potential applications such as in lasers, longwavelength photodetectors, optoelectronic devices, and other devices. The confinement of electrons and holes in these nanostructures modifies the electronic, optical, and vibrational properties of the materials. There has been increasing interest in the study of the electronic and optical properties of quantum-well wires whose dimensions are of nanometer size. In such structures, the electrons are confined to movement along the length of the wire while the motion in dimensions perpendicular to the wire is quantized. The understanding of the electronic and optical properties of impurities in these quantum wires is imperative because the optical, electrical, and transport properties of devices made from these materials will show exotic behavior when the size is reduced to nanodimensions.

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“…Besides, changing the confinement potential in quantum structures is a very useful method. For example, the parabolic potential [1,2], the Woods-Saxon potential [31], the hyperbolic potential [32], the exponential potential [33], and the linear potential [13] are used. In our paper, we make use of a kind of combination potential which includes the pseudoharmonic potential [34] and the ring-shaped potential [35] to study the nonlinear optical absorption and refractive index changes.…”

Section: Introductionmentioning

confidence: 99%

A theoretical study of nonlinear optical absorption and refractive index changes with the three-dimensional ring-shaped pseudoharmonic potential

Liu

Guo

Hassanabadi

et al. 2013

Physica B: Condensed Matter

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A study of two confined electrons using the Woods–Saxon potential

Cited by 47 publications

References 33 publications

Polaron Effects on Nonlinear Optical Properties of a Hydrogenic Impurity in a CdTe/ZnTe Quantum Dot

Polaron Effects on Nonlinear Optical Properties of a Hydrogenic Impurity in a CdTe/ZnTe Quantum Dot

Electric‐field‐induced optical absorption and refractive‐index changes of a shallow hydrogenic impurity in an InAs/GaAs quantum wire

A theoretical study of nonlinear optical absorption and refractive index changes with the three-dimensional ring-shaped pseudoharmonic potential

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