On superconductivity in the three-band two-dimensional repulsive Hubbard model

The three-band Hubbard model which is known also as the Emery model is investigated in the framework of thermal Green's functions. It is shown that antiferromagnetic and superconductive states can exist in this model at some appropriate doping and sufficiently low temperatures. In the two-dimensional repulsive case under consideration superconductivity turns out to be possible due to closeness of the Fermi level to one of the energy function saddle points and the pairing occurs in channels with odd angular momenta.