Infrared-absorption coefficient for shallow donors in a quantum well

P. D. Emmel, J. R. Leite, and I. C. da Cunha Lima
Phys. Rev. B 43, 9265 – Published 15 April 1991
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Abstract

We present a calculation of the absorption coefficient for the intraimpurity transitions between the first hydrogenlike donor states (n≤3) existing in a quantum well (QW) of finite width, for uniform, Gaussian-, and δ-like dopings. The eigenstates are obtained using a variational formulation with Slater-type functions. In this way we obtain the states 1s, 2s, 3s, 3p±, and 3d2±. The obtained wave functions allow us to calculate the oscillator strengths of the transitions, resulting in the absorption coefficient, which is in good agreement with the experimental values available in the literature.

  • Received 26 November 1990

DOI:https://doi.org/10.1103/PhysRevB.43.9265

©1991 American Physical Society

Authors & Affiliations

P. D. Emmel

  • Departamento de Física, Universidade Federal de São Carlos, via Washington Luiz km 235, 13560 São Carlos, São Paulo, Brazil
  • Instituto de Física, Universidade de São Paulo, Caixa Postal 20516, 01498 São Paulo, São Paulo, Brazil

J. R. Leite

  • Instituto de Física, Universidade de São Paulo, Caixa Postal 20516, 01498 São Paulo, São Paulo, Brazil

I. C. da Cunha Lima

  • Instituto de Física, Universidade de São Paulo, Caixa Postal 20516, 01498 São Paulo, São Paulo, Brazil an
  • Instituto de Pesquisas Espaciais, Caixa Postal 515, 12201 São José dos Campos, São Paulo, Brazil

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Vol. 43, Iss. 11 — 15 April 1991

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