### 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 language | English |
---|---|

Journal | Journal of the Korean Physical Society |

Volume | 42 |

Issue number | SPEC. |

Publication status | Published - 2003 Feb 1 |

Externally published | Yes |

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### 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

**Photoionization cross section of hydrogenic impurities in spherical quantum dots : Infinite well model.** / Ham, Heon; Lee, Cheol Jin.

Research output: Contribution to journal › Article

*Journal of the Korean Physical Society*, vol. 42, no. SPEC..

}

TY - JOUR

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

Y1 - 2003/2/1

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

UR - http://www.scopus.com/inward/record.url?scp=0037305248&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037305248&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0037305248

VL - 42

JO - Journal of the Korean Physical Society

JF - Journal of the Korean Physical Society

SN - 0374-4884

IS - SPEC.

ER -