Abstract
We examine various aspects of the normal-state phase of Cu${\mathrm{O}}_{2}$ planes in the high-${T}_{c}$ superconductors. In particular, within the context of the three band Hubbard model, we study as a function of doping the competition between a charge density wave phase induced by oxygen breathing modes, antiferromagnetic order, and paramagnetism. To account for the strong electronic interactions, we use the finite $U$ slave boson method of Kotliar and Ruckenstein.
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