Effective Hamiltonians and bindings energies of Wannier excitons in polar semiconductors

Pollmann, J.; Büttner, H.

doi:10.1103/physrevb.16.4480

Cited by 168 publications

(131 citation statements)

References 18 publications

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“…It has many applications in atomic physics and condensed-matter physics [14][15][16][17][18][19][20][21][22][23][24]. The Hellmann potential, with 0 V positive, was suggested originally by Hellmann [15,25] and henceforth called the Hellmann potential if 0 V is positive or negative.…”

Section: The Hellmann Potentialmentioning

confidence: 99%

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A new model for calculating the binding energy of the lithium nucleus under the generalized Yukawa potential and Hellmann potential

et al. 2015

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In this paper, the Schrödinger equation for 6-body system is studied. We solved this equation for lithium nucleus by using supersymmetry method with the specific potentials. These potentials are Yukawa potential, the generalized Yukawa potential and Hellmann potential. The results of our model for all calculations show that the ground state binding energy of Lithium nucleus with these potentials are very close to the ones obtained in experiments.

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Section: The Hellmann Potentialmentioning

confidence: 99%

“…It was used also to represent the electron-ion [18,19] and electron core interaction [20,21]. It has also been shown that the main properties of the effective two-particle interaction for charged particles in polar crystals may be described by this potential [22][23][24].…”

Section: The Hellmann Potentialmentioning

confidence: 99%

A new model for calculating the binding energy of the lithium nucleus under the generalized Yukawa potential and Hellmann potential

et al. 2015

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“…Briefly, one wants to develop an effective potential for the interaction of two charge carries that are screened from each other by a polar lattice. In the bulk this leads to the following Hamiltonian: 13 …”

Section: Coupling To Lo Modes (Frö Lich)mentioning

confidence: 99%

“…Pullman and Buttner have developed a theory which allows for ''state-dependent'' lattice contributions to dielectric screening. 13 This theory is readily extended to finite sized crystals, and allows us to effectively connect the large-and small-size limits, and calculate sizedependent Raman cross sections for the LO modes. This paper proceeds as follows.…”

Section: Introductionmentioning

confidence: 99%

Theory of size-dependent resonance Raman intensities in InP nanocrystals

Shiang

Wolters

Heath

1997

The Journal of Chemical Physics

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The resonance Raman spectrum of InP nanocrystals is characterized by features ascribable to both longitudinal ͑LO͒ and transverse ͑TO͒ optical modes. The intensity ratio of these modes exhibits a strong size dependence. To calculate the size dependence of the LO and TO Raman cross sections, we combine existing models of Raman scattering, the size dependence of electronic and vibrational structure, and electron vibration coupling in solids. For nanocrystals with a radius Ͼ10 Å, both the LO and TO coupling strengths increase with increasing radius. This, together with an experimentally observed increase in the electronic dephasing rate with decreasing size, allows us to account for the observed ratio of LO/TO Raman intensities.

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“…For simplification of our calculations, the effective masses of the electron, heavy-hole, and light-hole are assumed to be position independent; further, these effective masses are equal to those of ZnS. The effect of exciton-LO phonon interaction is described by the effective potential V PB between an electron and a hole (PB potential) with a self-energy term E self , which was derived from the exciton-LO phonon Hamiltonian by Pollmann and Büttner [8]. The PB potential and the self-energy terms are given as [2]:…”

Section: Calculation Methodsmentioning

confidence: 99%

Effect of Exciton-Longitudinal Optical Phonon Interaction οn Exciton Binding Energies in ZnS/Mg_xBe_yZn_1-x-yS Quantum Wells

Onodera

Yoshida

2010

Acta Phys. Pol. A

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We study the effects of exciton-longitudinal optical phonon interaction on the exciton binding energies in ZnS/Mg x Be y Zn 1−x−y S single quantum wells. The heavy-and light-hole exciton binding energies increase to the exciton-logitudinal optical phonon interaction. The increase in the maximum heavy-hole (light-hole) exciton binding energy for x = 0.74 is 68.3 meV (55.0 meV). In narrow ZnS/Mg x Be y Zn 1−x−y S single quantum wells SQWs, the heavy-and light-hole exciton binding energies exceed the longitudinal optical phonon energy of ZnS when x ≥ 0.1.

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Effective Hamiltonians and bindings energies of Wannier excitons in polar semiconductors

Cited by 168 publications

References 18 publications

A new model for calculating the binding energy of the lithium nucleus under the generalized Yukawa potential and Hellmann potential

A new model for calculating the binding energy of the lithium nucleus under the generalized Yukawa potential and Hellmann potential

Theory of size-dependent resonance Raman intensities in InP nanocrystals

Effect of Exciton-Longitudinal Optical Phonon Interaction οn Exciton Binding Energies in ZnS/Mg_xBe_yZn_1-x-yS Quantum Wells

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Effective Hamiltonians and bindings energies of Wannier excitons in polar semiconductors

Cited by 168 publications

References 18 publications

A new model for calculating the binding energy of the lithium nucleus under the generalized Yukawa potential and Hellmann potential

A new model for calculating the binding energy of the lithium nucleus under the generalized Yukawa potential and Hellmann potential

Theory of size-dependent resonance Raman intensities in InP nanocrystals

Effect of Exciton-Longitudinal Optical Phonon Interaction οn Exciton Binding Energies in ZnS/MgxBeyZn1-x-yS Quantum Wells

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Resources

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Effect of Exciton-Longitudinal Optical Phonon Interaction οn Exciton Binding Energies in ZnS/Mg_xBe_yZn_1-x-yS Quantum Wells