Question

1. The energy bands at the top of the valence bands in Si are three-fold degenerate (neglecting spin). The secular determinant for states near k 0 can be obtained by perturbation theory and is Ck,kz Ckxkz y z where E is the energy of the state k (kx, ky, kz), and A, B, and C are components of the reciprocal mass tensor. Find an expression for the energy bands near k 0'in (a) (100) direction, and (b) (111) direction.

The reference book is Charles Kittel-Introduction to Solid State Physics.

Answer 1