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I am looking for a comprehensive theoretical book or article related to the hole-phonon or exciton-phonon interaction in semiconductors. To be more precise, what I am looking for is:

1- Second quantization for the phonons (especially acoustic phonons)

2- Derivation of the Hamiltonian (scalar for electrons but matrix for holes)

3- More explicit form of the Hamiltonian according to the symmetry of the crystal

4- Specific inclusion of the longitudinal and transverse (piezoelectric and deformation) modes when deriving the equations for transport and relaxation time

My requirements might be too specific since I did not find any book containing this derivation. I think the best book I have found so far is Basic Semiconductor Physics (Chapter 6). However it does not consider the different modes and the holes which in my opinion make the equations less trivial especially when one uses Fermi's Golden Rule to calculate scattering matrix elements.

You may ask questions if what I am looking for is not clear enough. Any help is welcome! Even if everything is not contained in a single book.