Abstract
We consider the four-band model of high-temperature superconductors with copper \(3d_{x^2 - y^2 } \) and 4s electrons and oxygen 2p x and 2p y electrons. We assume that the Coulomb repulsion between the copper 3d electrons is strong. We diagonalize the oxygen subsystem and pass to the Wannier representation for the CuO 2 cluster. We study the properties of a local cell model and find its low-energy states such as the one-particle doublet and the two-particle singlet and triplet states. We consider the cell fermion delocalization because of their tunneling between the copper sites. We obtain a system of Dyson-type equations for renormalized one-particle Green’s functions and discuss whether it can be simplified.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 149, No. 1, pp. 99–110, October, 2006.
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Digor, D.F., Entel, P., Moskalenko, V.A. et al. Peculiarities of pair interaction in the four-band Hubbard model. Theor Math Phys 149, 1382–1392 (2006). https://doi.org/10.1007/s11232-006-0126-1
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DOI: https://doi.org/10.1007/s11232-006-0126-1