Skip to main content
Log in

Bismuth deformation potentials calculated from SdH periods under static strain and from magnetoacoustic attenuation

  • Articles
  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

We describe the non-parabolicity of the electron dispersion in bismuth by the Lax model, which replaces the energy Eby E(1+E/EG), EG being the L-point energy gap. It is assumed that the effect of small strains can be accounted for solely by small changes of the electron and hole Fermi energies, dEF = σDjkejk,where Djk and ejk denote deformation potentials and strains. With this assumption we show that the deformation potentials come out the same whether the dispersion relation is non-parabolic or parabolic. This finding we use in a re-evaluation of the deformation potentials obtained from SdH-measurements under static strain. We further make a mass data correction of deformation potentials obtained from magnetoacoustic attenuation. The two sets of values so obtained are in excellent agreement. This allows us to improve the accuracy, and we recommend to use the following values (unit eV): for electrons: D11 = 2.74 ± 0.50, D22 = −7.38 ± 0.56, D33 = 2.17 ±0.25, D23 = −1.85 ± 0.44and for holes: D11 = −1.06 ± 0.27, D33 = −1.06 ± 0.09

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. J. Bardeen and W. Shockley,Phys. Rev. 80, 72 (1950).

    Google Scholar 

  2. K. Walther,Phys. Rev. 174, 782 (1968).

    Google Scholar 

  3. T. Fukami, T. Yamaguchi, and S. Mase,J. Phys. Soc. Jap. 47, 423 (1979).

    Google Scholar 

  4. S. Katsuki,J. Phys. Soc. Jap. 26, 696 (1969).

    Google Scholar 

  5. D. V. Gitsu, I. M. Golban, and V. G. Kantser,Phys. Stat. Sol. (b)112, 473 (1982),113, 59 (1982), and113, 497 (1982).

    Google Scholar 

  6. M. Yu. Lavrenyuk and N. Ya. Minina,Sov. J. Low Temp. Phys. 14, 27 (1988).

    Google Scholar 

  7. I. F. I. Mikhail and I. M. M. Ismail,J. Phys.: Condensed Matter 4, 1707 (1992).

    Google Scholar 

  8. N. B. Brandt, Yu. P. Gaidukov, E. S. Itskevich, and N. Ya. Minina,Soviet Physics JETP 20, 301 (1965).

    Google Scholar 

  9. E. S. Itskevich, I. P. Krechetova, and L. M. Fisher,Soviet Physics JETP 25, 41 (1967).

    Google Scholar 

  10. E. S. Itskevich and L. M. Fisher,Soviet Physics JETP 26, 66 (1968).

    Google Scholar 

  11. N. B. Brandt, V. A. Kul'bachinskii, N. Ya. Minina, and V. D. Shirokikh,Soviet Physics JETP 51, 562 (1980).

    Google Scholar 

  12. J. W. McClure and K. H. Choi,Solid State Comm. 21, 1015 (1977).

    Google Scholar 

  13. A. A. Bel'chic, V. A. Kozlov, M. Yu. Lavrenyuk, and N. Ya. Minima,Sov. Phys. JETP 71, 166 (1990).

    Google Scholar 

  14. B. Lax, J. G. Mavroides, H. J. Zeiger, R. J. Keyes,Phys. Rev. Lett. 5, 241 (1960).

    Google Scholar 

  15. V. S. Ëdel'man,Soviet Physics Uspekhi 20, 819 (1977) andAdv. Phys. 25, 555 (1976).

    Google Scholar 

  16. J. Heremans and O. P. Hansen,J. Phys. C: Solid State Physics 12, 3483 (1979).

    Google Scholar 

  17. M. P. Vecchi and M. S. Dresselhaus,Phys. Rev. B 10, 771 (1974).

    Google Scholar 

  18. Ya. G. Ponomarev, Doctor's Dissertation (author's abstract). In Russian: Moscow,Moscow State Univ. Publ., 1983.

    Google Scholar 

  19. A. J. Lichnowski and G. A. Saunders,J. Phys. C: Solid State Physics 9, 927 (1976).

    Google Scholar 

  20. A. L. Il'inskij, O. L. Isakova, M. Yu. Lavrenyuk, and N. Ya. Minima, Vestnik MGY, Ser. 3, (Physics and Astronomy)27, 83 (1986).

    Google Scholar 

  21. N. B. Brandt, R. Herrmann, V. A. Kul'bachinskii, M. Yu. Lavrenyuk, N. Ya. Minima, and G. Schneider,Sov. Phys. Solid State 24, 1122 (1982).

    Google Scholar 

  22. V. L. Gurevich, V. G. Skobov, and Yu. A. Firsov,Soviet Physics JETP 13, 552 (1961).

    Google Scholar 

  23. S. Mase, Y. Fujimori, and H. Mori,J. Phys. Soc. Japan 21, 1744 (1966).

    Google Scholar 

  24. A. L. Jain and R. Jaggi,Phys. Rev. 135, A708 (1964).

    Google Scholar 

  25. S. Inoue and M. Tsuji,J. Phys. Soc. Japan 22, 1191 (1967).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hansen, O.P., Mikhail, I.F.I., Lavrenyuk, M.Y. et al. Bismuth deformation potentials calculated from SdH periods under static strain and from magnetoacoustic attenuation. J Low Temp Phys 95, 481–496 (1994). https://doi.org/10.1007/BF00751784

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00751784

Keywords

Navigation