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Microscopic Hamiltonian for Zn- or Ni-substituted high-temperature cuprate superconductors
We have derived the effective low-energy Hamiltonian for Zn- or Ni-substituted high-${T}_{c}$ cuprates from microscopic three-band models consisting of the most relevant Cu or impurity $3d$ and O $2p$ orbitals. We find that both the scattering potential and hopping integral induced by impurities have a finite range but decay very …