Recent content by rmanoj

  1. R

    Spin-orbit Hamiltonian in tight-binding

    I figured out the answer. As I had guessed, it is a correction to each atom in the basis and the inter-atomic spin-orbit coupling is neglected in standard, pedagogical treatments. This is enough to explain the breaking of the 6-fold valence band degeneracy in GaAs to the heavy-hole, light-hole...
  2. R

    Effect of Compression on Fermi Energy.

    Thinking in terms of the particle-in-a-box model, as the box becomes smaller, the eigenenergies themselves shift upwards. So if the number of electrons is conserved, then the max-energy state that is occupied will also shift upwards and that is, by definition, a state corresponding to the Fermi...
  3. R

    Spin-orbit Hamiltonian in tight-binding

    Hi, In the usual tight-binding Hamiltonian for semiconductor materials, say GaAs, the basis in which the Hamiltonian matrix elements are specified are the atomic wavefunctions for each atom in the basis. So for GaAs, including just the valence wavefunctions 2s,2px,2py,2pz, we have 8 basis...
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