Electrons, holes, and excitons in a superlattice composed of cylindrical quantum dots with extremely weak coupling between quasiparticles in neighboring layers of quantum dots

Tkach, N. V.; Maкhanets, О. М.; Zegrya, G. G.

doi:10.1134/1.1478541

Cited by 9 publications

(15 citation statements)

References 6 publications

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“…The phonon spectrum is treated within the framework of the dielectric continuum model widely applied for low-dimensional crystal structures [6][7][8][9] and the results of which are in good correlation with the experimental data.…”

Section: Introductionmentioning

confidence: 76%

“…It is clear that there are two possible solutions to this equation defining the spectra of confined and interface phonons which are observed hereafter. It is well known that the first solution of equation (2) proves that the frequencies of confined phonons are equal to the frequencies of longitudinal phonons of the corresponding composing parts of a nanosystem [6][7][8]. The second solution: ∆Φ( r) = 0, determines the spectra of interface phonons.…”

Section: Theory Of Interface Phonon Spectramentioning

confidence: 99%

“…In case the external medium is dielectric, ε 2 = ε d = 1.78. The phonon spectrum for such a system is obtained within the dielectric continuum model combining the electrostatic equations [6] and getting…”

Section: Theory Of Interface Phonon Spectramentioning

confidence: 99%

“…The theory of quasiparticles spectra in single quantum dots, wires and wells embedded into the dielectric or semiconductor external medium have been established for the past few years [4][5][6] within the effective mass approximation and rectangular potentials for the electron, hole, exciton and dielectric continuum model for the phonons. The investigations of physical properties, such as carrier relaxation and transportation, linear and non-linear optical characteristics of quantum dots, the interaction between quasiparticles and phonons are carried out both experimentally and theoretically.…”

Section: Introductionmentioning

confidence: 99%

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Properties of interface phonon spectra in complicated cylindrical nanosystem

Voitsekhivska¹,

Gryschyk²

2007

Condens. Matter Phys.

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The spectra of two types of interface phonons (top and side optical) are studied within the framework of dielectric continuum model for combined nanoheterosystems consisting of semiconductor cylindrical quantum dots inside the cylindrical quantum wire placed into dielectric or semiconductor medium. The dependencies of both types of interface phonon energies on the quasiwave numbers and geometric parameters of nanosystem are calculated and analysed.

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Section: Introductionmentioning

confidence: 76%

Section: Theory Of Interface Phonon Spectramentioning

confidence: 99%

Section: Theory Of Interface Phonon Spectramentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Properties of interface phonon spectra in complicated cylindrical nanosystem

Voitsekhivska¹,

Gryschyk²

2007

Condens. Matter Phys.

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“…The theory of quasiparticles spectra in complicated cylindrical semiconductor heterostructures was developed much earlier than the growth technology of multishell heterostructure nanowires [6]. Within the framework of this theory it is impossible to describe the properties of one-dimensional nanoheterostructures with the elliptic cross-section.…”

Section: Introductionmentioning

confidence: 99%

Electron energy spectrum in core-shell elliptic quantum wire

Holovatsky¹,

Gutsul²

2007

Condens. Matter Phys.

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The electron energy spectrum in core-shell elliptic quantum wire and elliptic semiconductor nanotubes are investigated within the effective mass approximation. The solution of Schrodinger equation based on the Mathieu functions is obtained in elliptic coordinates. The dependences of the electron size quantization spectrum on the size and shape of the core-shell nanowire and nanotube are calculated. It is shown that the ellipticity of a quantum wire leads to the break of degeneration of quasiparticle energy spectrum. The dependences of the energy of odd and even electron states on the ratio between semiaxes are of a nonmonotonous character. The anticrosing effects are observed at the dependences of electron energy spectrum on the transversal size of the core-shell nanowire.

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