Independent electrons in a periodic potential: general aspects (Nov. 8, 10, 15, 20)
Schema della sezione
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Periodic potential: Bloch theorem, I and II proof (Ch. 8).
Consequences of the Block theorem: quasi-crystalline momentum; velocity; energy bands. (Ch. 8)
Fermi surfaces. Density of states (DoS): different approaches. Derivation of the DoS using the properties of the delta-function (see notes).
Band index and folding. Van Hove singularities in 1D, 2D, 3D. (Ch. 8)
Brillouin zones, band folding and band indices, band plots in reduced zone / periodic / extended representation. Fermi surfaces [Ch. 9].