Band Gaps in the Nearly-Free-Electron Model

Derivation · draft

Band Gaps in the Nearly-Free-Electron Model

D-250 Home PU-303 Threads waves · energy · symmetry Depends on Bloch's Theorem from Translational Symmetry, Degenerate Perturbation Theory

Statement

Use degenerate perturbation theory at Brillouin-zone boundaries to show a weak periodic potential opens gaps of size twice the relevant Fourier component.

Depends on

Bloch's Theorem from Translational Symmetry, Degenerate Perturbation Theory

Used by

PU-303/L07 PU-303/L09