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Title: Photoionization cross sections of hydrogen impurities in spherical quantum dots using the finite-element discrete-variable representation

Abstract

The method of complex-coordinate rotation in a finite-element discrete variable representation is implemented to study the photoionization of hydrogen impurity in spherical quantum dots which are modelled by finite oscillator and Gaussian potentials. The level splitting and crossing of hydrogen impurities due to the variation of dot radii and confining potentials are presented, as well as the shifting down of the energy of hydrogenic impurity toward the combined energy of the free hydrogen and the amplitude of the confining potential. We illustrate the staircaselike behavior in ground and excited energy curves varying with dot radii. The variation of photoionization cross sections with photoelectron energies are given for several dot radii. The cross sections as functions of quantum-dot radii and confining potentials for specific photon energies showing resonancelike profiles are observed and discussed.

Authors:
;  [1]
  1. Institute of Atomic and Molecular Sciences, Academia Sinica, P.O. Box 23-166, Taipei 106, Taiwan (China)
Publication Date:
OSTI Identifier:
22075487
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 2; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; CROSS SECTIONS; FINITE ELEMENT METHOD; HYDROGEN; OSCILLATORS; PHOTOIONIZATION; PHOTONS; QUANTUM DOTS

Citation Formats

Lin, C Y, and Ho, Y K. Photoionization cross sections of hydrogen impurities in spherical quantum dots using the finite-element discrete-variable representation. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.023407.
Lin, C Y, & Ho, Y K. Photoionization cross sections of hydrogen impurities in spherical quantum dots using the finite-element discrete-variable representation. United States. doi:10.1103/PHYSREVA.84.023407.
Lin, C Y, and Ho, Y K. Mon . "Photoionization cross sections of hydrogen impurities in spherical quantum dots using the finite-element discrete-variable representation". United States. doi:10.1103/PHYSREVA.84.023407.
@article{osti_22075487,
title = {Photoionization cross sections of hydrogen impurities in spherical quantum dots using the finite-element discrete-variable representation},
author = {Lin, C Y and Ho, Y K},
abstractNote = {The method of complex-coordinate rotation in a finite-element discrete variable representation is implemented to study the photoionization of hydrogen impurity in spherical quantum dots which are modelled by finite oscillator and Gaussian potentials. The level splitting and crossing of hydrogen impurities due to the variation of dot radii and confining potentials are presented, as well as the shifting down of the energy of hydrogenic impurity toward the combined energy of the free hydrogen and the amplitude of the confining potential. We illustrate the staircaselike behavior in ground and excited energy curves varying with dot radii. The variation of photoionization cross sections with photoelectron energies are given for several dot radii. The cross sections as functions of quantum-dot radii and confining potentials for specific photon energies showing resonancelike profiles are observed and discussed.},
doi = {10.1103/PHYSREVA.84.023407},
journal = {Physical Review. A},
issn = {1050-2947},
number = 2,
volume = 84,
place = {United States},
year = {2011},
month = {8}
}