The tight-binding dispersion relation is defined by E = -2ta cos(ka). In this context, the Fermi level is correctly identified at E = 2ta, which corresponds to a straight line in the (k,E) plot. This conclusion is confirmed by the analysis of the dispersion relation, indicating that the Fermi level represents the energy at which the system transitions from occupied to unoccupied states. Niles' approach to plotting the Fermi level is accurate and aligns with established principles in solid-state physics.
PREREQUISITESPhysics students, solid-state physicists, and researchers focusing on electronic properties of materials will benefit from this discussion.