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Taken from my textbook:
My understanding is that:
Since a fermi surface is a surface of constant energy in k-space, shouldn't the surfaces nearer to the zone boundaries that get pushed down in energies get repelled even more? It seems that surfaces nearer to the boundaries get closer even! Why are the fermi seas like these below?
My understanding is that:
- One valence electron, 2 spin states -> Half-filled Brillouin zone
- Seeking inspiration from "Nearly Free Electron Model": gaps open up at zone boundaries
- States nearer to zone boundaries get pushed down in energy further
Since a fermi surface is a surface of constant energy in k-space, shouldn't the surfaces nearer to the zone boundaries that get pushed down in energies get repelled even more? It seems that surfaces nearer to the boundaries get closer even! Why are the fermi seas like these below?