The cuprate high-Tc superconductors have the typical perovskite structure with the Cu-O two-dimensional plane. The mechanism of superconductivity is not still resolved although many theories have been proposed.
The origin of superconductivity certainly lies in the two-dimensional plane consisting of oxygen and copper atoms since the high-Tc oxides are quasi two-dimensional materials with large anisotropy. The superconducting gap has d-wave symmetry, and thus a superconductivity originating from the on-site Coulomb repulsion is a candidate for high-Tc superconductivity. We investigate the three-band model with copper and oxygen orbitals or the simplified single-band Hubbard model.
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