Dispersion equation for crystals with diamond structure with spin-orbital interaction taken into account
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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.
KeywordsRelativistic Dispersion Brillouin Zone Dispersion Equation Iteration Procedure Conduction Zone
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