Abstract
Correlation of two anti-parallel spin electrons in the same orbital state for strong correlation systems is introduced. For the energy spectrum taking into account this kind of correlation in the mean field approximation of the Hamiltonian is equivalent to the cut-off at the third order of the Green function chain of the Zubarev method. For cuprate oxides four sub-bands are obtained from a two-band Hamiltonian, which is in agreement with the relation between carrier density and doping density found in optical reflectivity experiments.
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