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.
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.

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go to 2.1.4 Periodic Potentials

© H. Föll (Semiconductors - Script)