Terms Linear inkin the Band Structure of Zinc-Blende-Type Semiconductors

Abstract

A calculation of the coefficient $C_k$ of the terms linear in $\mathrm{k}$ in the ${\Gamma }_8$ valence bands of several III-V semiconductors is presented. On the basis of the systematics of these results it is concluded that these terms arise from coupling by the linear momentum and the spin-orbit operators to the uppermost $d$ levels of the core. A simple analytic expression to calculate $C_k$ for all III-V, II-VI, and I-VII compounds with zinc-blende structure is proposed. The results are in good agreement with the few experimental data available.