Electron Energy Spectrum and Oscillator Strengths of Intra-band Quantum Transitions in Double Semiconductor Nanorings in Magnetic Field

Maкhanets, О. М.; Gutsul, V. I.; Kuchak, A. I.

doi:10.21272/jnep.9(6).06015

Cited by 4 publications

(6 citation statements)

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“…F = 0) causes an increasing localization of the electron (in ground state) in the inner ring. Herein, the angular distribution of probability remains uniform [9].…”

Section: Analysis Of the Resultsmentioning

confidence: 99%

“…If the nanostructure studied is driven by a homogeneous magnetic field with the induction B directed along Oz axis, then, an increasing B (at F = 0) causes an increasing localization of the electron (in ground state) in the inner ring. Herein, the angular distribution of probability remains uniform [9].…”

Section: Analysis Of the Resultsmentioning

confidence: 99%

“…Cylindrical semiconductor quantum rings are intensively investigated theoretically [8][9][10][11][12][13][14]. Changing the geometric sizes of the rings one can affect the energy spectra of quasiparticles and obtain the necessary optical properties.…”

Section: Introductionmentioning

confidence: 99%

“…The external fields also essentially influence the spectra. In [8,9], the influence of a magnetic field on the energy spectrum of the electron and on the oscillator strengths of its intra-band quantum transitions in GaAs/Al x Ga 1−x As rings was studied. It was shown that the electron energies and the oscillator strength of intra-band quantum transitions non-monotonously depend on the induction of the magnetic field.…”

Section: Introductionmentioning

confidence: 99%

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Electron energy spectrum and oscillator strengths of quantum transitions in double quantum ring nanostructure driven by electric field

Maкhanets¹,

Gutsul²,

Kuchak³

2018

Condens. Matter Phys.

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The effect of homogeneous electric field on the energy spectrum, wave functions of electron and oscillator strengths of intra-band quantum transitions in a double cylindrical quantum ring (GaAs/Al x Ga 1−x As) is studied within the approximations of effective mass and rectangular potentials. The calculations are performed using the method of expansion of quasiparticle wave function over a complete set of cylindrical wave functions obtained as exact solutions of Schrödinger equation for an electron in a nanostructure without electric field. It is shown that the electric field essentially affects the electron localization in the rings of a nanostructure. Herein, the electron energies and oscillator strengths of intra-band quantum transitions non-monotonously depend on the intensity of electric field.

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“…F = 0) causes an increasing localization of the electron (in ground state) in the inner ring. Herein, the angular distribution of probability remains uniform [9].…”

Section: Analysis Of the Resultsmentioning

confidence: 99%

Section: Analysis Of the Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Electron energy spectrum and oscillator strengths of quantum transitions in double quantum ring nanostructure driven by electric field

Maкhanets¹,

Gutsul²,

Kuchak³

2018

Condens. Matter Phys.

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show abstract

“…In papers [9][10][11][12], the authors theoretically investigated the influence of electric and magnetic fields on the energy spectrum, wave functions and intensities of intraband quantum electron transitions in double quantum nanorings based on GaAs/AlxGa1-xAs semiconductors. The stationary Schrödinger equation for a quasiparticle in the presence of a magnetic field is solved analytically exactly, and the wave function is obtained as a superposition of confluent hypergeometric functions and generalized Laguerre polynomials.…”

Section: Introductionmentioning

confidence: 99%

The exciton spectrum of the cylindrical quantum dot - quantum ring semiconductor nanostructure in an electric field

Hnidko

Gutsul

Koziarskyi

et al. 2022

Phys. Chem. Solid St.

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In the model of effective masses and rectangular potentials for an electron and a hole, the influence of a uniform electric field on the energy spectrum and wave functions of the exciton and the oscillator strengths of interband quantum transitions in the semiconductor (GaAs/AlxGa1-xAs) quantum dot-quantum ring nanostructure is theoretically investigated. The stationary Schrödinger equations for noninteracting quasiparticles in the presence of an electric field cannot be solved analytically. For their approximate solution, the unknown wave functions are sought in the form of an expansion over the complete set of cylindrically symmetric wave functions, and the electron energy is found by solving the corresponding secular equation. The exciton binding energy is found using perturbation theory. The dependences of the energy spectra, the wave functions of an electron, hole, and exciton, and the intensity of interband optical quantum transitions on the magnitude of the electric field strength are analyzed.

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Impurity effect on the spectral parameters of an electron in a quantum dot–quantum ring semiconductor nanostructure

Hnidko

Maкhanets

Gutsul

et al. 2022

Molecular Crystals and Liquid Crystals

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Electron Energy Spectrum and Oscillator Strengths of Intra-band Quantum Transitions in Double Semiconductor Nanorings in Magnetic Field

Cited by 4 publications

References 0 publications

Electron energy spectrum and oscillator strengths of quantum transitions in double quantum ring nanostructure driven by electric field

Electron energy spectrum and oscillator strengths of quantum transitions in double quantum ring nanostructure driven by electric field

The exciton spectrum of the cylindrical quantum dot - quantum ring semiconductor nanostructure in an electric field

Impurity effect on the spectral parameters of an electron in a quantum dot–quantum ring semiconductor nanostructure

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