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DERIVE a 6x6 Hamiltonian for bulk semiconductors

  1. Apr 4, 2007 #1
    URGENT x 10 DERIVE a 6x6 Hamiltonian for bulk semiconductors

    Okay here is a little challenge for you guys. Try and test your skill a little. First 10 people to properly derive a 6x6 Hamiltonian for bulk semiconductors will gain bragging rights in this forum.
     
    Last edited: Apr 4, 2007
  2. jcsd
  3. Apr 4, 2007 #2
    would a 6 x 6 be two 3x3s across the diagnol but symmetric?
    h11 h12 h13 0 0 0
    h21 h22 h23 0 0 0
    h31 h32 h33 0 0 0
    0 0 0 h11 h12 h13
    0 0 0 h21 h22 h23
    0 0 0 h31 h32 h33
     
  4. Apr 5, 2007 #3

    Dr Transport

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    Start with the 3 p-states, and use the [itex] \vec{k} \times \vec{p} [/itex] Hamiltonian to work out the states....You have to include spin and utilize the spin-orbit corrections to get the correct form of the matrix. Worked the [itex] 8 \times 8 [/itex] version for my dissertation years ago which involved the s-states.
     
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