Excitons in Semiconductors
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 . 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].
KeywordsBound State Solution Exciton Resonance Incoherent Condition Excitonic Feature Coulomb Interaction Potential
Unable to display preview. Download preview PDF.
- 1.R.J. Elliott in: Polarons and Excitons, ed by C.G. Kuper, G.D. Whitefield (Oliver and Boyd 1963 ) pp 269Google Scholar
- 2.C. Klingshirn, H. Haug: Phys. Rep. 70, 315 (1981) and references thereinGoogle Scholar
- 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.For a textbook discussion see, e.g., C.F. Klingshirn: Semiconductor Optics, 2nd corr. printing ( Springer, Berlin Heidelberg New York 1997 )Google Scholar
- 19.W. Hoyer, M. Kira, S.W. Koch: Phys. Rev. B 67, 155113 (2003)Google Scholar
- 20.M. Kira, W. Hoyer, S.W. Koch: Solid State Commun. (2004)Google Scholar
- 21.L. Allen, J.H. Eberly: Optical Resonance and Two-Level Atoms ( Wiley, New York 1975 )Google Scholar