Parameter Dependance of Bandgaps

Shown are numerical results for the Kronig–Penney model.
The parameter a can be varied to quantify the strength of the periodic lattice potential.
 
alpha:
 
 
 
The red curve shows the dispersion relation of the free electron gas, i.e. it's a parabolic function.
The blue curve shows the dispersion relation with band gaps.
The green curve shows the same dispersion relation in the reduced representation.
 

With frame With frame as PDF

go to 2.1.4 Periodic Potentials

© H. Föll (Semiconductors - Script)