Posted by TNR on April 10, 2014, 3:53 pm, in reply to "Re: Confusion about Brillouin Zones"
To say it in a less stupid way: The reason you see the fermi-sea intersecting the boundaries perpendicularly on figure 16.3 (so that it's periodic if you tile that square) is because the energy function for the strong period potential depends on the co-ordinates, and hence the periodicity of the energy manifests itself in the occupation sea in the 2-D space.
For no periodic potential (like in figure 16.6), since the energy is only dependent on the magnitude of k, we don't see it's occupation surface in 2-D intersect the boundaries in a periodic way, despite the fact that the ENERGIES (if we plotted them on a z axis coming out of our page for every z surface) DO take on a periodic shape.
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