Photoionization cross section of hydrogenic impurities in spherical quantum dots: Infinite well model

Heon Ham, Cheol Jin Lee

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We have used a variational wave function for hydrogenic impurities in spherical quantum dots to calculate the dependence of the photoionization cross section of such impurities on the photon energy. The calculation has been performed using the infinite confining well model. The results are presented for various dot radii and for different locations of the impurity in the dot. We find that for hydrogenic impurities at the center of a spherical quantum, dot, the transition takes place between the impurity level associated with the ground subband and the free particle state in the second subband, and the cross section is independent of the polarization of the photons. For off-center impurities, the transition takes place between the impurity level associated with the ground subband and the free particle state in the ground subband when the photons are polarized along the direction connecting the impurity with the center of the dot while for photons polarized perpendicular to the direction, we find that the transitions take place between the impurity level associated with the ground subband and the free particle state in the second subband.

Original languageEnglish
JournalJournal of the Korean Physical Society
Volume42
Issue numberSPEC.
Publication statusPublished - 2003 Feb 1
Externally publishedYes

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photoionization
quantum dots
impurities
cross sections
photons
confining
wave functions
radii
polarization

Keywords

  • Hydrogenic impurities
  • Infinite well model
  • Photoionization cross section
  • Quantum dots
  • Seimiconducting nanostructures
  • Variational wave function

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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abstract = "We have used a variational wave function for hydrogenic impurities in spherical quantum dots to calculate the dependence of the photoionization cross section of such impurities on the photon energy. The calculation has been performed using the infinite confining well model. The results are presented for various dot radii and for different locations of the impurity in the dot. We find that for hydrogenic impurities at the center of a spherical quantum, dot, the transition takes place between the impurity level associated with the ground subband and the free particle state in the second subband, and the cross section is independent of the polarization of the photons. For off-center impurities, the transition takes place between the impurity level associated with the ground subband and the free particle state in the ground subband when the photons are polarized along the direction connecting the impurity with the center of the dot while for photons polarized perpendicular to the direction, we find that the transitions take place between the impurity level associated with the ground subband and the free particle state in the second subband.",
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T1 - Photoionization cross section of hydrogenic impurities in spherical quantum dots

T2 - Infinite well model

AU - Ham, Heon

AU - Lee, Cheol Jin

PY - 2003/2/1

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N2 - We have used a variational wave function for hydrogenic impurities in spherical quantum dots to calculate the dependence of the photoionization cross section of such impurities on the photon energy. The calculation has been performed using the infinite confining well model. The results are presented for various dot radii and for different locations of the impurity in the dot. We find that for hydrogenic impurities at the center of a spherical quantum, dot, the transition takes place between the impurity level associated with the ground subband and the free particle state in the second subband, and the cross section is independent of the polarization of the photons. For off-center impurities, the transition takes place between the impurity level associated with the ground subband and the free particle state in the ground subband when the photons are polarized along the direction connecting the impurity with the center of the dot while for photons polarized perpendicular to the direction, we find that the transitions take place between the impurity level associated with the ground subband and the free particle state in the second subband.

AB - We have used a variational wave function for hydrogenic impurities in spherical quantum dots to calculate the dependence of the photoionization cross section of such impurities on the photon energy. The calculation has been performed using the infinite confining well model. The results are presented for various dot radii and for different locations of the impurity in the dot. We find that for hydrogenic impurities at the center of a spherical quantum, dot, the transition takes place between the impurity level associated with the ground subband and the free particle state in the second subband, and the cross section is independent of the polarization of the photons. For off-center impurities, the transition takes place between the impurity level associated with the ground subband and the free particle state in the ground subband when the photons are polarized along the direction connecting the impurity with the center of the dot while for photons polarized perpendicular to the direction, we find that the transitions take place between the impurity level associated with the ground subband and the free particle state in the second subband.

KW - Hydrogenic impurities

KW - Infinite well model

KW - Photoionization cross section

KW - Quantum dots

KW - Seimiconducting nanostructures

KW - Variational wave function

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