Antiferromagnetism, localization, and pairing in a two-dimensional model for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">CuO</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

The properties of a model to describe the ${\mathrm{CuO}}_{2}$ planes in the high-${\mathrm{T}}_{\mathrm{c}}$ superconductors are discussed in the strong-coupling limit. On the assumption that doping creates holes on the O rather than the Cu sites, following the recent suggestion of Emery, it is shown that antiferromagnetic ordering of the Cu moments will lead to either localization or pairing of the O holes. The effect of magnetic anisotropy on the pairing interaction is discussed, and it is suggested that it will strongly enhance superconductivity in these systems.

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