Excitons in Semiconductors

  • Stephan W. Koch
  • Mackillo Kira
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 146)


The quantum mechanical problem of a single electron-hole pair in a homogeneous semiconductor leads to the Wannier equation, which, for a parabolic bandstructure is mathematically identical to the hydrogen atom Schrödinger equation [1]. This equation can be solved analytically in three and two dimensions, which is relevant for idealized bulk or quantum-well structures. Solutions are also available for quasi-one dimensional systems, however, their treatment requires the regularization of the Coulomb interaction potential [2, 3].




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  1. 1.
    R.J. Elliott in: Polarons and Excitons, ed by C.G. Kuper, G.D. Whitefield (Oliver and Boyd 1963 ) pp 269Google Scholar
  2. 2.
    C. Klingshirn, H. Haug: Phys. Rep. 70, 315 (1981) and references thereinGoogle Scholar
  3. 3.
    For a textbook discussion see H. Haug, S. W. Koch: Quantum Theory of the Optical and Electronic Properties of Semiconductors, 4th ed. ( World Scientific, Singapore 2004 )Google Scholar
  4. 4.
    For a textbook discussion see, e.g., C.F. Klingshirn: Semiconductor Optics, 2nd corr. printing ( Springer, Berlin Heidelberg New York 1997 )Google Scholar
  5. 5.
    K. Bohnert, M. Anselment, G. Kobbe, C. Klingshirn, H. Haug, S.W. Koch, S. Schmitt-Rink, F.F. Abraham: Z. Physik B 42, 1 (1981)ADSCrossRefGoogle Scholar
  6. 6.
    S.W. Koch, H. Haug, G. Schmieder, K. Bohnert, C. Klingshirn: Phys. Status Solidi (b) 89, 431 (1978);ADSCrossRefGoogle Scholar
  7. C. Klingshirn, W. Maier, B. Hönerlage, H. Haug, S.W. Koch: Solid State Electronics 21, 1357 (1978)ADSCrossRefGoogle Scholar
  8. 7.
    M. Kira, F. Jahnke, S. W. Koch: Phys. Rev. Lett. 81, 3263 (1998)ADSCrossRefGoogle Scholar
  9. 8.
    R.H.M. Groeneveld, D. Grischkowsky: J. Opt. Soc. Am. B 11, 2502 (1994);)ADSGoogle Scholar
  10. J. Cerne et al.: Phys. Rev. Lett. 77, 1131 (1996)ADSCrossRefGoogle Scholar
  11. 9.
    M. Kira, W. Hoyer, T. Stroucken, S.W. Koch: Phys. Rev. Lett. 87, 176401 (2001)ADSCrossRefGoogle Scholar
  12. 10.
    M. Lindberg, S.W. Koch: Phys. Rev. B 38, 3342 (1988)ADSCrossRefGoogle Scholar
  13. 11.
    W. Schäfer: Journ. Opt. Soc. Am. B 13, 1291 (1996)ADSGoogle Scholar
  14. 12.
    F. Jahnke, M. Kira, S.W. Koch: Z. Physik B 104, 559 (1997)ADSCrossRefGoogle Scholar
  15. 13.
    F. Jahnke, M. Kira, S.W. Koch, G. Khitrova, E.K. Lindmark, T.R. Nelson, D.V. Wick, J.D. Berger, O. Lyngnes, H.M. Gibbs, K. Tai: Phys. Rev. Lett. 77, 5257 (1996)ADSCrossRefGoogle Scholar
  16. 14.
    G. Khitrova, H.M. Gibbs, F. Jahnke, M. Kira, S.W. Koch: Rev. Mod. Phys. 71, 1591 (1999)ADSCrossRefGoogle Scholar
  17. 15.
    H. Wang, K. Ferrio, D.G. Steel, Y.Z. Hu, R. Binder, S.W. Koch: Phys. Rev. Lett. 71, 1261 (1993)ADSCrossRefGoogle Scholar
  18. 16.
    S.W. Koch, T. Meier, F. Jahnke, P. Thomas: Appl. Phys. A 71, 511 (2000)ADSCrossRefGoogle Scholar
  19. 17.
    M. Kira, W. Hoyer, F. Jahnke, S.W. Koch: Prog. Quantum Electron. 23, 189 (1999)ADSCrossRefGoogle Scholar
  20. 18.
    S. Chatterjee et al.: Phys. Rev. Lett. 92, 067402 (2004)ADSCrossRefGoogle Scholar
  21. 19.
    W. Hoyer, M. Kira, S.W. Koch: Phys. Rev. B 67, 155113 (2003)Google Scholar
  22. 20.
    M. Kira, W. Hoyer, S.W. Koch: Solid State Commun. (2004)Google Scholar
  23. 21.
    L. Allen, J.H. Eberly: Optical Resonance and Two-Level Atoms ( Wiley, New York 1975 )Google Scholar

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© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Stephan W. Koch
  • Mackillo Kira

There are no affiliations available

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