In This Lecture:

C. Bulutay Semiconductor Electronic Structure & Optical Processes Lecture 6
The Journey of the Eigenfunctions
For the unperturbed H, eigenfn’s at the band edge we anticipated them to be of s and p
type orbital symmetry: S, ↑ , S, ↓ , X, ↑ , X, ↓ , Y, ↑ , Y, ↓ , Z, ↑ , Z,
↓
u = iS ↓
1
u2
=
X − iY
↑ = Y
2
u = Z ↓ = Y ↓
3
5
7
1 0
1 0
X − iY
u = ↓ = Y
2
1 −1
X + iY
u4
=− ↑ = Y
2
u = iS ↑
u6
X + iY
=− ↓ = Y
2
u = Z ↑ = Y ↑
1 1
1 1
8 1 −1
↑
↓
↑
↓
Perturbation:
SO+k.P
Kane’s band edge eigenfn’s