Skip to main content
Log in

Spin-orbit mixing in III–V semiconductors at the Γ point

  • Semiconductors and Dielectrics
  • Published:
Physics of the Solid State Aims and scope Submit manuscript

Abstract

The consequences of the theory of spin-orbit mixing in III–V semiconductors at the Γ point have been analyzed within the five-band model for the first time. A formula that describes the optical matrix element relating the Γ7 and Γ8 bands and expresses it through the known Luttinger parameter q is derived. Until recently, it was believed that this optical matrix element is equal to zero and that the corresponding transition is forbidden. The role of this transition in the experiment on photon absorption by free holes in the p-GaSb compound is discussed.

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. Bigin Huang, Douwe J. Monsma, and Ian Appelbaum, Phys. Rev. Lett. 99, 177209 (2007).

  2. Ian Appelbaum, Bigin Huang, and Douwe J. Monsma, Nature (London) 447, 295 (2007).

    Article  ADS  Google Scholar 

  3. G. Dresselhaus, Phys. Rev. 100(2), 580 (1955).

    Article  ADS  MATH  Google Scholar 

  4. E. O. Kane, J. Phys. Chem. Solids 1, 249 (1957).

    Article  ADS  Google Scholar 

  5. R. K. Willardson and A. C. Beer, Semiconductors and Semimetals, Vol. 3: Optical Properties of III–IV Compounds (Academic, New York, 1967; Mir, Moscow, 1970), p. 188.

    Google Scholar 

  6. J. M. Luttinger, Phys. Rev. 102(4), 1030 (1956).

    Article  ADS  MATH  Google Scholar 

  7. J. C. Hensel and K. Suzuki, Phys. Rev. Lett. 22, 838 (1969).

    Article  ADS  Google Scholar 

  8. G. N. Iluridze, A. N. Titkov, and E. M. Chaĭkina, Fiz. Tekh. Poluprovodn. (Leningrad) 21(1), 80 (1987) [Sov. Phys. Semicond. 21 (1), 48 (1987)].

    Google Scholar 

  9. V. D. Dymnikov, Fiz. Tverd. Tela (St. Petersburg) 47(4), 591 (2005) [Phys. Solid State 47 (4), 614 (2005)].

    Google Scholar 

  10. X. Marie, T. Amand, P. Le Jeune, M. Pailard, P. Renucci, L. E. Golub, V. D. Dymnikov, and E. L. Ivchenko, Phys. Rev. B: Condens. Matter 60(8), 5811 (1999).

    ADS  Google Scholar 

  11. V. D. Dymnikov, Fiz. Tverd. Tela (St. Petersburg) 43(11), 1957 (2001) [Phys. Solid State 43 (11), 2037 (2001)].

    Google Scholar 

  12. V. D. Dymnikov and O. V. Konstantinov, Fiz. Tekh. Poluprovodn. (St. Petersburg) 42(8), 934 (2008) [Semiconductors 42 (8), 918 (2008)].

    Google Scholar 

  13. I. M. Tsidilkovskii, Band Structure of Semiconductors (Nauka, Moscow, 1978; Pergamon, Oxford, 1982), p. 87.

    Google Scholar 

  14. V. D. Dymnikov, in Abstracts of Papers of the Third All-Russia Conference on Physics of Semiconductors, Moscow, Russia, 1977 (Moscow, 1977), p. 211.

  15. Landolt-Börnstein Tables, Ed. by O. Madelung, M. Schulz, and H. Weiss (Springer, Berlin, 1982), Vol. 17a.

    Google Scholar 

  16. A. I. Ansel’m, Introduction to the Theory of Semiconductors (Nauka, Moscow, 1978) [in Russian].

    Google Scholar 

  17. A. N. Titkov, E. I. Chaĭkina, É. M. Komova, and N. G. Ermakova, Fiz. Tekh. Poluprovodn. (Leningrad) 15(2), 345 (1981) [Sov. Phys. Semicond. 15 (2), 198 (1981)].

    Google Scholar 

  18. M. Cardona, N. E. Christensen, and G. Fasol, Phys. Rev. B: Condens. Matter 38(3), 1806 (1988).

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. D. Dymnikov.

Additional information

Original Russian Text © V.D. Dymnikov, O.V. Konstantinov, 2009, published in Fizika Tverdogo Tela, 2009, Vol. 51, No. 4, pp. 654–660.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dymnikov, V.D., Konstantinov, O.V. Spin-orbit mixing in III–V semiconductors at the Γ point. Phys. Solid State 51, 690–697 (2009). https://doi.org/10.1134/S1063783409040064

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063783409040064

PACS numbers

Navigation