Hydrogenic impurity states in quantum dots and quantum wires

Chuu, Der–San; Hsiao, C.M.; Mei, W. N.

doi:10.1103/physrevb.46.3898

Cited by 275 publications

(116 citation statements)

References 33 publications

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“…∼ 1 d , therefore, the binding energy of the electron is also increased as the electron gets near to the nucleus. Our results show that for small wire radius, the binding energies are in good agreement with previous results [11,14]. As the radius becomes very large, our result approaches the correct limit 1R…”

Section: Resultssupporting

confidence: 82%

“…represents a two dimensional hydrogen atom located inside a quantum disk [14]. Both can be solved exactly.…”

Section: Theorymentioning

confidence: 99%

“…The ground state eigenvalue and eigenfunction of the 2D hydrogenic impurity located at the center of an infinite circular well can be obtained as [14]:…”

Section: Theorymentioning

confidence: 99%

“…• A. Theoretically, the electronic properties of a hydrogenic impurity in the quantum well [5,6,7,8] and the quantum wire [9,10,11,12,13,14] have been studied by many authors. The impurity binding energies of a quantum wire with infinite or finite potential barrier [9] and with different shapes of the cross-section [10,11] have been discussed.…”

Section: Introductionmentioning

confidence: 99%

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Effect of electron–phonon interaction on the impurity binding energy in a quantum wire

Chuu

Chen

Lin

2000

Physica B: Condensed Matter

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The effect of electron-optical phonon interaction on the hydrogenic impurity binding energy in a cylindrical quantum wire is studied. By using Landau and Pekar variational method, the hamiltonian is separated into two parts which contain phonon variable and electron variable respectively. A perturbative-variational technique is then employed to construct the trial wavefunction for the electron part. The effect of confined electron-optical phonon interaction on the binding energies of the ground state and an excited state are calculated as a function of wire radius. Both the electronbulk optical phonon and electron-surface optical phonon coupling are considered. It is found that the energy corrections of the polaron effects on the impurity binding energies increase rapidliy as the wire radius is shrunk, and the bulk type optical phonon plays the dominant role for the polaron effects.

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Section: Resultssupporting

confidence: 82%

“…represents a two dimensional hydrogen atom located inside a quantum disk [14]. Both can be solved exactly.…”

Section: Theorymentioning

confidence: 99%

“…The ground state eigenvalue and eigenfunction of the 2D hydrogenic impurity located at the center of an infinite circular well can be obtained as [14]:…”

Section: Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effect of electron–phonon interaction on the impurity binding energy in a quantum wire

Chuu

Chen

Lin

2000

Physica B: Condensed Matter

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“…On the other hand, the aluminum donor in bulk ZnS has a shallow level ͑0.074 eV below the conduction band edge͒, 18 and the orbital radius of an electron trapped at the donor is about 1.2 nm. 19 Because the value of this radius is fairly close to that of the nanoparticles, E d increases remarkably with decreasing crystallite size, on account of the spatial confinement effect, [20][21][22] as in the case of the band gap energy. 14 As a simple example, let us consider the case where the aluminum donor is located in the center of a spherical ZnS particle with the diameter 4 nm, which is the approximate average size of our nanocrystals determined from the dimensions of the lattice plane images in the TEM micrograph.…”

Section: Resultsmentioning

confidence: 99%

Luminescence properties of ZnS phosphor nanocrystals prepared by the laser-induced gas-evaporation method

Tanaka¹,

Sawai

Sengoku

et al. 2000

Journal of Applied Physics

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Nanocrystalline particles of ZnS:͑Ag, Al͒ semiconductor phosphor, whose sizes are mostly 3-5 nm in diameter, are prepared by the gas-evaporation method with cw CO 2 laser heating. The Raman scattering spectrum as well as the transmission electron microscope observation demonstrates that the crystallization of the nanoparticles was caused successfully through the gas-phase condensation. Under irradiation of ultraviolet light, the nanoparticles exhibit blue luminescence, as in the case of the starting material of ZnS:͑Ag, Al͒ bulk powder. The peak of the luminescence spectrum of the nanoparticles shifts to lower energy with increasing delay time and also with decreasing excitation intensity, showing that the luminescence originates from the donor-acceptor pair recombination. However, it is concluded that the luminescence of the nanoparticles is not ascribed to the blue Ag luminescence mechanism responsible for the luminescence of the bulk powder, by taking into account the spatial confinement of an electron trapped at the donor and a hole at the acceptor. It is argued that the luminescence mechanism of the nanoparticles is the so called self-activated luminescence, which involves zinc vacancies.

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Semiempirical Hamiltonians for spatially confined ?-electron systems

Planelles

Zicovich‐Wilson

Jaskólski³

et al. 1996

Int. J. Quantum Chem.

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A study of .n-electron systems confined by impenetrable surfaces is presented. The study results in a nonempirical-based approach to obtain confinement-adapted semiempirical .n-Hamiltonians including repulsive terms (PPP or Hubbard). The impenetrable surface confinement of a physical system involves changes in the boundary conditions that the eigenvectors of its differential Hamiltonian operator have to fulfill, while the Hamiltonian itself remains unchanged. However, if this Hamiltonian is written in second quantization language, then confinement only involves changes of the Hamiltonian scalar factors (integrals). Semiempirical Hamiltonian integrals are replaced by parameters; therefore, confinement involves only changes of these parameters. It is shown that confinement changes Coulomb (a,) and exchange ( p,,), while repulsion (y,,) parameters remain unaffected. Next, the influence of confinement upon the electron correlation of (i) .n-electron molecular systems, (ii) atoms, and (iii) an electron gas is discussed. The behaviour of the correlation energy vs. the confinement size is found to be different for each type of system. A neat explanation of this variety is given in terms of the Coulomb attractive fields of the systems. Some chemical confinement effects such as an increase in the reactivity of .n-electron systems is also outlined.

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Hydrogenic impurity states in quantum dots and quantum wires

Cited by 275 publications

References 33 publications

Effect of electron–phonon interaction on the impurity binding energy in a quantum wire

Effect of electron–phonon interaction on the impurity binding energy in a quantum wire

Luminescence properties of ZnS phosphor nanocrystals prepared by the laser-induced gas-evaporation method

Semiempirical Hamiltonians for spatially confined ?-electron systems

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