Abstract
The ground states of small clusters are studied within a simplified model for the two-dimensional CuO2 plane, in which doped holes on oxygen p orbitals couple with localized Cu spins. Three cases are found where the ground state has different symmetry from each other: (i) strong ferromagnetic coupling region, (ii) relatively weak coupling region, and (iii) strong antiferromagnetic coupling region. This shows that the strong coupling region is not connected smoothly to the weak coupling region, reminding us of a similar situation in the two-impurity Kondo problem. Local characters of doped holes as well as the nature of the ground-state wave function are investigated to clarify differences among these cases. The strong antiferromagnetic coupling is found to be the most favorable for pairing with short coherence length owing to quantum-mechanical mixing.
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