Photoionization cross section of hydrogenic impurities in cylindrical quantum wires

Infinite well model

Heon Ham, Cheol Jin Lee

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

We have used a variational wave function for hydrogenic impurities in cylindrical quantum wires to calculate the dependence of the photoionization cross section of such impurities on the photon energy. The calculation has been performed using the infinite well model. The transition takes place between the impurity level associated with the ground subband and the free particle state in the free excited state for hydrogenic impurities at the center of a cylindrical quantum wire. The result is presented for various wire radii at the center of a cylindrical quantum wire. We see that the peak value initially increases with increasing wire size, reaching a maximum value and then decreasing with a further increase in wire size, because the binding energy increases with decreasing wire radius. This peak value occurs when the photon energy is larger than the difference between the final and initial state energies of the impurity.

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

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quantum wires
photoionization
impurities
wire
cross sections
radii
photons
energy
binding energy
wave functions
excitation

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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title = "Photoionization cross section of hydrogenic impurities in cylindrical quantum wires: Infinite well model",
abstract = "We have used a variational wave function for hydrogenic impurities in cylindrical quantum wires to calculate the dependence of the photoionization cross section of such impurities on the photon energy. The calculation has been performed using the infinite well model. The transition takes place between the impurity level associated with the ground subband and the free particle state in the free excited state for hydrogenic impurities at the center of a cylindrical quantum wire. The result is presented for various wire radii at the center of a cylindrical quantum wire. We see that the peak value initially increases with increasing wire size, reaching a maximum value and then decreasing with a further increase in wire size, because the binding energy increases with decreasing wire radius. This peak value occurs when the photon energy is larger than the difference between the final and initial state energies of the impurity.",
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T1 - Photoionization cross section of hydrogenic impurities in cylindrical quantum wires

T2 - Infinite well model

AU - Ham, Heon

AU - Lee, Cheol Jin

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N2 - We have used a variational wave function for hydrogenic impurities in cylindrical quantum wires to calculate the dependence of the photoionization cross section of such impurities on the photon energy. The calculation has been performed using the infinite well model. The transition takes place between the impurity level associated with the ground subband and the free particle state in the free excited state for hydrogenic impurities at the center of a cylindrical quantum wire. The result is presented for various wire radii at the center of a cylindrical quantum wire. We see that the peak value initially increases with increasing wire size, reaching a maximum value and then decreasing with a further increase in wire size, because the binding energy increases with decreasing wire radius. This peak value occurs when the photon energy is larger than the difference between the final and initial state energies of the impurity.

AB - We have used a variational wave function for hydrogenic impurities in cylindrical quantum wires to calculate the dependence of the photoionization cross section of such impurities on the photon energy. The calculation has been performed using the infinite well model. The transition takes place between the impurity level associated with the ground subband and the free particle state in the free excited state for hydrogenic impurities at the center of a cylindrical quantum wire. The result is presented for various wire radii at the center of a cylindrical quantum wire. We see that the peak value initially increases with increasing wire size, reaching a maximum value and then decreasing with a further increase in wire size, because the binding energy increases with decreasing wire radius. This peak value occurs when the photon energy is larger than the difference between the final and initial state energies of the impurity.

KW - Hydrogenic impurities

KW - Infinite well model

KW - Photoionization cross section

KW - Quantum wires

KW - Seimiconducting nanostructures

KW - Variational wave function

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