Posted by Steve Simon on February 17, 2014, 9:36 pm, in reply to "Conductivity in tight binding model"
You have to decide what it is that limits the conductivity when you apply an electric field. This could be any of a number of things and these would have to be treated accurately in order to get a finite conductivity.
One possibility is disorder limits the acceleration. Another possibility is electron-phonon scattering. A third (and this is much more subtle) is that the electrons really do accelerate all the way off the edge of the Brillouin zone and back into it from the other side.
All of these possibilities can be handled more or less. Phonons and disorder are probably more realistic when talking about real materials. Yes, you can derive a fermi's golden rule scattering time that will set your conductivity.
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