Just having a play around on the sommer program, checking my interpretation.
Opening the program, we have the two halves.
On the left, there is the red circle representing our Fermi surface (So size proportional to the Fermi energy - can alter this in the middle bars). Inside the circle are all of the possible wavevectors of electrons at zero temperature. So spatially, we have the x- and y-components of our wavevector represented by the white dots. The green dot would be the average.
As we run a simulation, we see that some of the white dots jump out of the red circle. This would be equivalent to the energies above the Fermi energy.
Applying an electric field, we see a drift of the wavevectors, i.e. white dots (and mean) drift to a side and outside the red circle.
Applying a magnetic field, we have the wavevectors (white dots) rotating about the mean.
I'm not sure how this relates back to our energy levels.
Sidenote: if you have a large scattering time (~1e3ps) and some electric field (~ 2 * 1e6V/m), everything drifts out of the Fermi surface, then it looks like it's snowing...
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After turning on the electric field, the electrons just drift as it would in the drude model. Note that the graph is in k-space(neither real space nor velocity space as in drude simulation). I think you are suppose to ignore the red circle. The fermi sphere is suppose to drift along with the electrons in k-space.
ReplyDeleteFermi sphere drifting would make sense in that I have really just translated everything as a result of the applied field.
ReplyDeleteElectrons drift in the Drude and the Sommerfeld model, right?
Then I am shifted, say, to the left in real space. to do this, my velocity must also be shifted to the left?
Hence my wavevectors (white dots) are shifting to the left too?