Wannier-Stark Quantization and Bloch Oscillator in Biased Semiconductor Superlattices

  • G. Bastard
  • R. Ferreira
Part of the NATO ASI Series book series (NSSB, volume 206)


We review salient features exhibited by electronic states in semiconductor superlattices subjected to a static electric field applied parallel to the growth axis. When the field is large enough the band structure is destroyed and replaced by evenly spaced levels: the Wannier-Stark ladder. The Wannier-Stark ladders are calculated to survive the broadening due to static scatterers (ionized impurities, interface defects). We briefly compare the average spatial localization of the Wannier-Stark states to their semiclassical counterpart derived from the Bloch oscillator formalism.We show that the field-induced quantization leads to an effective blue shift of the band-to-band absorption edge as well as to the existence of oscillatory structures which are periodic in 1/F.


Landau Level Interface Defect Static Scatterer Bloch Oscillator Semiconductor Superlattices 
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  1. 1).
    Wannier, G. H., Rev. Mod. Phys. 34, 645 (1962).MathSciNetADSCrossRefGoogle Scholar
  2. 2).
    Zak, J.,Solid State Physics vol. 27 (New-York: Academic Press).Google Scholar
  3. 3).
    Saitoh, M., J. Phys. C 5, 914 (1972).Google Scholar
  4. 4).
    Luban, M. and Luscombe, J. H., Phys. Rev. B 14, 3674 (1986).ADSCrossRefGoogle Scholar
  5. 5).
    Emin, D. and Hart, C. F., Phys. Rev. B 36, 7353 (1987).ADSCrossRefGoogle Scholar
  6. 6).
    Bentolosa, F., Grecchi, V. and Zironi, F., J. Phys. C 15, 7119 (1982).Google Scholar
  7. 7).
    Bleuse, J., Bastard, G. and Voisin, P., Phys. Rev. Lett. 60, 220 (1988).Google Scholar
  8. 8).
    Mendez, E. E., Argullo-Rueda, F. and Hong, J. M., Phys. Rev. Lett. 60, 2426 (1988).Google Scholar
  9. 9).
    Voisin, P., Bleuse, J., Bouche, C., Gaillard, S., Alibert, C. and Regreny, A., Phys. Rev. Lett. f1, 1639 (1988).ADSCrossRefGoogle Scholar
  10. 10).
    Bleuse, J., Voisin, P., Allovon, M. and Quillec, M., Appl. Phys. Lett. 53, 2632 (1988)ADSCrossRefGoogle Scholar
  11. 11).
    Bastard,G., Bleuse, J., Ferreira, R. and Voisin, P., (1988) to appear in Superlattices and Microstructures.Google Scholar
  12. 12).
    See e.g. Ashcroft, N. W. and Mermin, N. D., “Solid State Physics”, Holt, Rinehart and Winston, New-York (1976).Google Scholar

Copyright information

© Springer Science+Business Media New York 1989

Authors and Affiliations

  • G. Bastard
    • 1
  • R. Ferreira
    • 1
  1. 1.Groupe de Physique des Solides de l’ENSParisFrance

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