Skip to main content
Log in

Generalized multilayer model for the quantitative analysis of the electromodulation components of the electroreflectance and photoreflectance spectra of semiconductors in the region of the E 0 fundamental transition

  • Electronic and Optical Properties of Semiconductors
  • Published:
Semiconductors Aims and scope Submit manuscript

Abstract

With the assumption of the Franz-Keldysh effect as the origination mechanism of the interband electromodulation E 0 component, a generalized multilayer model of this effect was proposed. This model includes such physical parameters as the strength of the surface electric field and its decay profile in the space charge region, energy broadening, and partial modulation of the surface electric field. It was shown that the three regions can be defined in the simulated spectra, namely, the low-energy region, the region of main peak, and the high-energy region of the Franz-Keldysh oscillations. The effect of the model parameters on the line shape in these regions was studied. The ranges of the actual parameters were determined from the quantitative analysis of the experimental photoreflectance spectra of GaAs and InP substrates (n=1015 cm−3–1018 cm−3).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M. Cardona, Modulation Spectroscopy (Academic, New York, 1969; Mir, Moscow, 1972).

    Google Scholar 

  2. P. Lautenschlager, M. Garriga, S. Logothetidis, and M. Cardona, Phys. Rev. B 35, 9174 (1987).

    Article  ADS  Google Scholar 

  3. D. E. Aspnes, Surf. Sci. 37, 418 (1973).

    Google Scholar 

  4. R. L. Tober and J. D. Bruno, J. Appl. Phys. 68, 6388 (1990).

    Article  ADS  Google Scholar 

  5. S. F. Pond and P. Handler, Phys. Rev. B 8, 2869 (1973).

    Article  ADS  Google Scholar 

  6. R. Kuz’menko, A. Ganzha, J. Schreiber, and S. Hildebrandt, Fiz. Tverd. Tela (St. Petersburg) 39, 2123 (1997) [Phys. Solid State 39, 1900 (1997)].

    Google Scholar 

  7. D. E. Aspnes, Phys. Rev. 147, 554 (1966).

    Article  ADS  Google Scholar 

  8. D. E. Aspnes, Phys. Rev. 153, 972 (1967).

    Article  ADS  Google Scholar 

  9. B. O. Seraphin and N. Bottka, Phys. Rev. 145, 628 (1966).

    Article  ADS  Google Scholar 

  10. D. E. Aspnes, Phys. Rev. B 10, 4228 (1974).

    Article  ADS  Google Scholar 

  11. A. Ganzha, W. Kircher, R. Kuz’menko, et al., Fiz. Tekh. Poluprovodn. (St. Petersburg) 32, 272 (1998) [Semiconductors 32, 245 (1998)].

    Google Scholar 

  12. H. Shen, M. Dutta, R. Lux, et al., Appl. Phys. Lett. 59, 321 (1991).

    ADS  Google Scholar 

  13. A. Jaeger, G. Weiser, and P. Wiedemann, IEEE J. Sel. Top. Quantum Electron. 1, 1113 (1995).

    Google Scholar 

  14. J. M. A. Gilman, A. Hamnett, and R. A. Batchelor, Phys. Rev. B 46, 13363 (1992).

    Google Scholar 

  15. U. Behn and H. Roeppischer, J. Phys. C 21, 5507 (1988).

    Article  ADS  Google Scholar 

  16. C. van Hoof, K. Deneffe, J. de Boeck, et al., Appl. Phys. Lett. 54, 608 (1989).

    ADS  Google Scholar 

  17. T. Kanata, M. Matsunaga, H. Takakura, et al., J. Appl. Phys. 69, 3691 (1991).

    Article  ADS  Google Scholar 

  18. P. L. Jackson and E. G. Seebauer, J. Appl. Phys. 69, 943 (1991).

    Article  ADS  Google Scholar 

  19. Landolt-Börnstein: Numerical Data and Functional Relationships in Science and Technology (Springer-Verlag, Berlin, 1984).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Fizika i Tekhnika Poluprovodnikov, Vol. 34, No. 9, 2000, pp. 1086–1092.

Original Russian Text Copyright © 2000 by Kuz’menko, Ganzha, Domashevskaya, Kircher, Hildebrandt.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kuz’menko, R.V., Ganzha, A.V., Domashevskaya, É.P. et al. Generalized multilayer model for the quantitative analysis of the electromodulation components of the electroreflectance and photoreflectance spectra of semiconductors in the region of the E 0 fundamental transition. Semiconductors 34, 1045–1051 (2000). https://doi.org/10.1134/1.1309419

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1309419

Keywords

Navigation