Direct interband light absorption in a cylindrical quantum dot in quantizing magnetic field

Atoyan, M.S.; Kazaryan, É. M.; Sarkisyan, H. A.

doi:10.1016/j.physe.2003.09.042

Cited by 60 publications

(23 citation statements)

References 6 publications

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“…When we compare the energy of the zeroth iteration with the converged one, we observe that the electron and hole energies with and without Coulomb interaction are quite large because the attractive Coulomb potential between electron and hole pulls down the single electron and hole energies. In some of the excitonic studies, 16,24,29,30 the Coulomb term effect on the energies is omitted; however, as showcased in the figure, in fact this contribution is not at a negligible level.…”

Section: Resultsmentioning

confidence: 99%

“…In most of the studies especially in strong confinement regime ͓i.e., dot radius ͑R dot ͒ Ӷ exciton Bohr radius ͑a exc ͔͒, this Coulomb term is completely ignored comparing with the kinetic energy of the electron and hole in the calculations. 16,24,29,30 In some cases, although the Coulomb term is considered as a perturbation and the first order energy modification is performed, the wave function is not modified. 28,31 In these cases, although the energy levels are calculated with sufficient precision, computation of optical properties ͑oscillator strength, optical transitions, etc.͒ is not accurate enough as a result of the noninteracting electron and hole wave functions assumed in the formalism.…”

Section: Introductionmentioning

confidence: 99%

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Self-consistent computation of electronic and optical properties of a single exciton in a spherical quantum dot via matrix diagonalization method

Şahin

Nizamoğlu

Kavruk

et al. 2009

Journal of Applied Physics

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Cataloged from PDF version of article.In this study, we develop and demonstrate an efficient self-consistent calculation schema that computes the electronic structure and optical properties of a single exciton in a spherical quantum dot (QD) with an interacting pair of electron and hole wave functions. To observe modifications on bands, wave functions, and energies due to the attractive Coulomb potential, the full numeric matrix diagonalization technique is employed to determine sublevel energy eigenvalues and their wave functions in effective mass approximation. This treatment allows to observe that the conduction and valance band edges bend, that the electron and hole wave functions strongly localize in the QD, and that the excitonic energy level exhibits redshift. In our approach for the Coulomb term between electron and hole, the Poisson-Schrodinger equations are solved self-consistently in the Hartree approximation. Subsequently, exciton binding energies and associated optical properties are computed. The results are presented as a function of QD radii and photon energies. We conclude that all of these numerical results are in agreement with the experimental studies. (C) 2009 American Institute of Physics

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Self-consistent computation of electronic and optical properties of a single exciton in a spherical quantum dot via matrix diagonalization method

Şahin

Nizamoğlu

Kavruk

et al. 2009

Journal of Applied Physics

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“…In this section, we calculate the direct interband light absorption coefficient K(ω) and the absorption threshold frequency in a quantum pseudodot under the simultaneous influence of an external magnetic field, rotation and disclination. The light absorption coefficient can be expressed as [26][27][28][29]…”

Section: Interband Light Absorptionmentioning

confidence: 99%

Topological and non inertial effects on the interband light absorption

et al. 2018

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“…Recently, interband optical absorption in GaAs spherical shape parabolic QDs in the presence of electrical and magnetic fields was investigated by Atoyan et al [1,2]. They solved the Schrödinger equation for a spinless particle confined by a two-dimensional (2D) cylindrical harmonic oscillator potential.…”

Section: Introductionmentioning

confidence: 99%

Spectra of cylindrical quantum dots: The effect of electrical and magnetic fields together with AB flux field

Ikhdair

Hamzavi

Sever

2012

Physica B: Condensed Matter

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We study the spectral properties of electron quantum dots (QDs) confined in 2D parabolic harmonic oscillator influenced by external uniform electrical and magnetic fields together with an Aharonov-Bohm (AB) flux field. We use the Nikiforov-Uvarov method in our calculations. Exact solutions for the energy levels and normalized wave functions are obtained for this exactly soluble quantum system. Based on the computed one-particle energetic spectrum and wave functions, the interband optical absorption GaAs spherical shape parabolic QDs is studied theoretically and the total optical absorption coefficient is calculated.

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Direct interband light absorption in a cylindrical quantum dot in quantizing magnetic field

Cited by 60 publications

References 6 publications

Self-consistent computation of electronic and optical properties of a single exciton in a spherical quantum dot via matrix diagonalization method

Self-consistent computation of electronic and optical properties of a single exciton in a spherical quantum dot via matrix diagonalization method

Topological and non inertial effects on the interband light absorption

Spectra of cylindrical quantum dots: The effect of electrical and magnetic fields together with AB flux field

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