Soviet Physics Journal

, Volume 25, Issue 7, pp 582–585 | Cite as

Dispersion equation for crystals with diamond structure with spin-orbital interaction taken into account

  • A. A. Lipnik
  • K. Ya. Shtivel'man
Physics of Semiconductors and Dielectrics
  • 24 Downloads

Abstract

Analytical expansion of the secular twenty-second order determinant is performed, in which the spin-orbital interaction between the upper valence zones is taken exactly into account in addition to the kp-interactions examined in previous papers. A compact algebraic relativistic dispersion equation of eleventh degree is obtained which is suitable in the whole Brillouin zone. It is factorized on the axes of symmetry. In addition, the spin-orbital interaction between the conduction zones Γ15 c is taken into account on the axes <100>. An iteration procedure is elucidated to solve the dispersion equation.

Keywords

Relativistic Dispersion Brillouin Zone Dispersion Equation Iteration Procedure Conduction Zone 

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Literature cited

  1. 1.
    A. A. Lipnik and K. Ya. Shtivel'man, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 5, 33 (1982).Google Scholar
  2. 2.
    A. A. Lipnik and K. Ya. Shtivel'man, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 7, 3 (1982).Google Scholar
  3. 3.
    E. O. Kane, J. Phys. Chem. Solids,1, 82 (1956).Google Scholar

Copyright information

© Plenum Publishing Corporation 1983

Authors and Affiliations

  • A. A. Lipnik
    • 1
  • K. Ya. Shtivel'man
    • 1
  1. 1.Ternopol Pedagogic InstituteUSSR

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