Loewdin calculus for multiband Hamiltonians

Details Loewdin calculus for multiband Hamiltonians Loewdin calculus for multiband Hamiltonians

2011-01-30

arxiv.org/abs/1101.5775v2

Physics

Condensed Matter

Materials Science

8 + epsilon pages, no figures, one column (corrected)

Scientific paper

This appendix to the paper by Werpachowska and Dietl "Theory of spin waves in ferromagnetic (Ga,Mn)As" (DOI: 10.1103/PhysRevB.82.085204) is a response to inquiries about the derivation of the Loewdin calculus and its numerical implementation. It presents the detailed version of the Loewdin calculus for the multiband Hamiltonian taking into account both the p-d and s-d exchange couplings. This should explain how to implement the sp-d exchange interaction in the tight-binding computational scheme. I also include the complete procedure of the Bogoliubov transform for systems with spatial inversion asymmetry.

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