Binding Energy of the Donor-Confined LO Phonon System in Quantum Well Wire Structures

Moukhliss, S.; Fliyou, M.; Es-Sbai, Najia

doi:10.1002/(sici)1521-3951(199804)206:2<593::aid-pssb593>3.0.co;2-7

Cited by 9 publications

(4 citation statements)

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“…(23) Using the LLP-like unitary transformation equations ( 10) and (11), the free polaronic energy can be variationally calculated as where Ψ 0 is the wave function of the bare electron in the cylindrical quantum wire:…”

Section: Binding Energy Of Impurity Statesmentioning

confidence: 99%

“…Buonocore et al [9] and Xie [10] studied the polaron self-energies by considering both the volume and the surface phonon modes in cylindrical quantum wires with infinite potential. Moukhliss [11] chose infinitely deep potential wells to check the effect of the electron-confined bulk longitudinal optical (LO) phonon interaction on the ground bound state of the shallow donor impurity in a rectangular quantum wire. The impurity states in a quantum wire with a rectangular cross section and a finite barrier potential were also discussed by Osório et al [12,13] .…”

Section: Introductionmentioning

confidence: 99%

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Effects of electron– and impurity-ion–LO phonon couples on the impurity states in cylindrical quantum wires

Zhao

Liang

2009

J. Semicond.

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The variational method and the effective mass approximation are used to calculate the phonon effects on the hydrogenic impurity states in a cylindrical quantum wire with finite deep potential by taking both the couplings of the electron-confined bulk longitudinal optical (LO) phonons and the impurity-ion–LO phonons into account. The binding energies and the phonon contributions are calculated as functions of the transverse dimension of the quantum wire. The results show that the polaronic effect induced by the electron–LO phonon coupling and the screening effect induced by the impurity-ion–LO phonon coupling tend to compensate each other and the total effects reduce the impurity binding energies.

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Section: Binding Energy Of Impurity Statesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effects of electron– and impurity-ion–LO phonon couples on the impurity states in cylindrical quantum wires

Zhao

Liang

2009

J. Semicond.

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“…The binding energies of a hydrogenic impurity arbitrarily located in a rectangular QWW have been calculated in [20,21]. The influence of the LO phonons confined to a rectangular QWW on the impurity ground-state energy has been considered in [22].…”

Section: Introductionmentioning

confidence: 99%

Electron states in rectangular quantum well wires (single wires, finite and infinite lattices)

Pokatilov

Fonoberov

Balaban

et al. 2000

J. Phys.: Condens. Matter

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Electron and hole states are studied in quantum well wires (QWWs) with a rectangular cross section. A theoretical approach is developed, within which the electronic properties of a single QWW as well as of finite and infinite planar lattices of QWWs are analysed. It is demonstrated that the ratio of effective masses in the well and in the barrier influences the dispersion law of the electron motion along the QWW axis. A six-wire lattice is studied in detail. Edge states, which can be observed in optical spectra, are revealed, when the barrier heights are different inside and outside the lattice. The miniband structure is investigated for an infinite lattice of QWWs. The evolution of electron states is analysed when the number of QWWs in the lattice increases: 1 → 6 → ∞. The calculated electron-hole pair energies are in a good agreement with the experimental data on photoluminescence in the Ga 0.47 In 0.53 As/InP QWW.

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“…These quantities are higher than those found in quantum well ͑QW͒ and quantum well wire ͑QWW͒ problems. 2,3 Since the carrier charge-phonon interactions are essential to understand the optical absorption spectra in semiconductors, 4 the polaronic effect has become a main subject in the physics of low-dimensional systems. Recently, many investigations have been devoted to the effects of the electron-phonon interaction on various electronic properties of polar semiconductor QD.…”

Section: Introductionmentioning

confidence: 99%

Magnetopolaron effect in CdTe cylindrical quantum dot

Charrour

Bouhassoune

Fliyou³

et al. 2000

Journal of Applied Physics

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This study analyzes the role of the magnetic field and the polaron effect on the binding energy of shallow donor impurities in a cylindrical quantum dot ͑QD͒, where the magnetic field is applied in the axial direction. The interactions of carrier charges ͑electron and ion͒ with the confined longitudinal optical phonons as well as the side surface and top surface optical phonons are considered. Calculations are made using the effective-mass approximation within the variational approach for an infinite confinement potential at all surfaces of the system. Results are obtained as a function of the dot sizes ͑radius and height͒ and the donor impurity position for several magnetic field strengths. Emphasis is put on the dependence of the polaronic correction on the magnetic field and the impurity position. The presented results can be useful to control the spatial distribution of the donor center in the QD.

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Binding Energy of the Donor-Confined LO Phonon System in Quantum Well Wire Structures

Cited by 9 publications

References 0 publications

Effects of electron– and impurity-ion–LO phonon couples on the impurity states in cylindrical quantum wires

Effects of electron– and impurity-ion–LO phonon couples on the impurity states in cylindrical quantum wires

Electron states in rectangular quantum well wires (single wires, finite and infinite lattices)

Magnetopolaron effect in CdTe cylindrical quantum dot

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