Posted by D on March 5, 2014, 12:28 am
At the bottom of page 176 of the textbook there is a discussion about estimating the strength of periodic potential needed to have an insulator. We do this by considering energies in the absence of the potential, which by my reckoning should be given by (hbar^2/2m)*k^2. At the corner of the BZ I think we have k=(pi/a,pi/a), so that k^2=2*(pi/a)^2, whereas the text seems to suggest that k^2=2*(pi/2a)^2. Is there something very obvious I'm missing here?
Thanks!
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