DERIVE a 6x6 Hamiltonian for bulk semiconductors

  • Thread starter pd_crew
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  • #1
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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.
 
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Answers and Replies

  • #2
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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
 
  • #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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