Abstract
The Emery model for CuO 2 planes in high- T c superconductors is considered. Treating this model by the cell-perturbation method, a singlet-triplet model with effective spin interactions is derived. Both superexchange (SE) and Ruderman-Kittel-Kasuya-Yosida (RKKY) interactions are calculated. It is found that with increasing carrier concentration the SE interaction decreases, while the RKKY interaction increases. With increasing oxygen transfer both SE and RKKY interactions increase. The SE interaction is dominant, except for a small region of large hole doping where the SE interaction changes its sign. The suppression of the exchange interaction with hole doping is found and it may explain the drop in magnetic order with hole doping. The magnetic frustrations are also calculated and they are found even for zero bandwidth and for the half-filling insulator case.
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