Abstract
We present a model study of the ground state of a ${\mathrm{BiO}}_{2}$ plane of bismuth-based high-temperature superconductors using an extended three-band Hubbard model in which the hole correlations are treated by a local ansatz method. It is found that the doped holes have \ensuremath{\sim}65% oxygen character for realistic parameters, similarly as within a ${\mathrm{CuO}}_{2}$ plane of copper-based superconductors. The calculated phase diagrams demonstrate that the charge order is stable for nearly degenerate Bi(6s) and O(2p) levels and disappears gradually with hole doping for realistic parameters.
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