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Nonrelative dispersion relation in crystals with a diamond structure

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Abstract

The dispersion equations introduced in a previous paper are solved and the analytical expression of the dispersion relations thus obtained are investigated. The latter is in fair agreement with experiment for the heavy and light hole bands in the <100>, <110> directions and for electrons of the lower conduction band in the <100> directions. An iteration procedure is proposed for the solution of the dispersion equations in arbitrary directions of the wave vector up to the Brillouin zone boundary.

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Literature cited

  1. A. A. Lipnik and K. Ya. Shtivel'man, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 5, 33 (1982).

    Google Scholar 

  2. I. Balslev and P. Lawaetz, Phys. Rev. Lett.,19, 6 (1965).

    Google Scholar 

  3. V. V. Sobolev, Energy Eigen Levels of Group AIV Solids [in Russian], Kishinev (1978).

  4. J. R. Chelikowsky and M. L. Cohen, Phys. Rev.,B14, 556 (1976).

    Google Scholar 

  5. P. Kowalczyk, R. A. Pollak, and D. A. Shirley, Phys. Rev, Lett.,29, 1088 (1972).

    Google Scholar 

  6. R. Pollak, L. Ley, S. Kowalczyk, D. A. Shirley, J. D. Jeannopoulos, D. J. Chadi and M. L. Cohen, Phys. Rev. Lett.,29, 1103 (1972).

    Google Scholar 

  7. F. R. Mc Feely, S. P. Kowalczyk, L. Ley, R. G. Cavell, R. A. Pollak, and D. A. Shirley, Phys. Rev.,B 9, 5268 (1974).

    Google Scholar 

  8. C. D. Clark, P. V. Harris, Proc. R. Soc.,A277, 312 (1974).

    Google Scholar 

  9. P. Lawaetz, Phys. Rev.,B 4, 3460 (1971).

    Google Scholar 

  10. G. Feher, Phys. Rev.,114, 1219 (1959).

    Google Scholar 

  11. E. A. Taft and Stelter, Phys. Rev.,133, 1705 (1964).

    Google Scholar 

  12. A. Frova, P. Mandler, F. A. Germano, and D. E. Aspness, Phys. Rev.,145, 575 (1966); F. Evangelisti, A. Frova, and M. Zanini, Solid-State Commun.,9, 1467 (1971).

    Google Scholar 

  13. D. E. Eastman, Phys. Rev. Lett.,29, 1503 (1972).

    Google Scholar 

  14. D. Brust and E. O. Kane, Phys. Rev.,176, 894 (1968).

    Google Scholar 

  15. M. R. Samuelsen, Phys. Status Solidi,B43, K83 (1971).

    Google Scholar 

  16. P. J. Dean, E. C. Lightowlers, and D. R. Wright, Phys. Rev.,140, A352 (1965).

    Google Scholar 

  17. C. R. Clark, P. J. Dean, and P. V. Harris, Proc. R. Soc.,A277, 312 (1974).

    Google Scholar 

  18. H. R. Philipp and E. A. Taft, Phys. Rev.,136, A1445 (1964).

    Google Scholar 

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Authors and Affiliations

  1. Ternopol Pedagogic Institute, USSR

    A. A. Lipnik & K. Ya. Shtivel'man

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  1. A. A. Lipnik
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  2. K. Ya. Shtivel'man
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 3–6, July, 1982.

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Lipnik, A.A., Shtivel'man, K.Y. Nonrelative dispersion relation in crystals with a diamond structure. Soviet Physics Journal 25, 579–582 (1982). https://doi.org/10.1007/BF00911778

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  • DOI: https://doi.org/10.1007/BF00911778

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