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Interpretation of cyclotron resonance data

  1. Dec 1, 2013 #1
    1. The problem statement, all variables and given/known data
    Compare the cyclotron resonance signal from Silicon in figure 28.9b (in Ashcroft and Mermin) with the geometry of the conduction band ellipsoids shown in figure 28.5, and explain why there are only two electron peaks although there are six pockets of electrons.


    2. Relevant equations

    Attached are the relevant images, and Silicon has effective masses of 1.0m, 0.2m and 0.2m.

    3. The attempt at a solution

    I originally thought it might have to do with degeneracy of the effective masses or conduction band minima, but that doesn't seem to work out (Germanium has three electron peaks, but effective masses of 1.6m, 0.8m, and 0.8m) and the conduction band for Si has four non-degenerate and two degenerate mimima.

    Any hints toward the right answer are appreciated
     

    Attached Files:

    Last edited: Dec 1, 2013
  2. jcsd
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