Problem (M-1). The dispersion along the first band of a material is given by:
E(k) = 0.03k6 - 0.36k^4 + 1.95k^2 on the [110] axis of the Brillouin Zone. If k = 3 Å^-1, graph the dispersion. Then graph the velocity of the given electrons as a function of k along the [110] direction.
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