Is the Fermi Level at E = 2ta for Tight-Binding Dispersion?

Niles
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Homework Statement


Hi

Say I have the tight-binding dispersion given by E = -2ta cos(ka). When plotting this, then is it correct that the Fermi level is at the energies satisfying E = 2ta, i.e. a straight line in a (k,E) plot?
 
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Sorry to bump this, but is someone able to confirm my approach?Niles.
 
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