# The effective t-J Hamiltonian for the copper oxides

@article{RodrguezNez1993TheET, title={The effective t-J Hamiltonian for the copper oxides}, author={Jos{\'e} Jes{\'u}s Rodr{\'i}guez-N{\'u}{\~n}ez and Hans Peter Beck}, journal={Journal of Physics: Condensed Matter}, year={1993}, volume={5} }

Starting from the Emery model, which is assumed to describe the copper-oxygen planes, and including direct oxygen hopping matrix elements, tpp, we have been able to derive the effective t-J Hamiltonian for the copper orbitals using the linked cluster expansion method up to fourth order in tpd, the hybridization matrix element. The spin-dependent part of the effective Hamiltonian is composed of two contributions: the superexchange interaction, and another one of RKKY type. The effective…

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