Geodesic
Peculiarities of pair interaction in the~four-band Hubbard model
Teoretičeskaâ i matematičeskaâ fizika, Tome 149 (2006) no. 1, pp. 99-110

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We consider the four-band model of high-temperature superconductors with copper {\rm3d}$_{x^2-y^2}$ and {\rm4s} electrons and oxygen {\rm2p}$_x$ and {\rm2p}$_y$ electrons. We assume that the Coulomb repulsion between the copper {\rm3d} 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.
Keywords: strongly correlated electron system, high-temperature superconductor. 
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     author = {D. F. Digor and P. Entel and V. A. Moskalenko and N. M. Plakida},
     title = {Peculiarities of pair interaction in the~four-band {Hubbard} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {1},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2006_149_1_a7/}
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D. F. Digor; P. Entel; V. A. Moskalenko; N. M. Plakida. Peculiarities of pair interaction in the~four-band Hubbard model. Teoretičeskaâ i matematičeskaâ fizika, Tome 149 (2006) no. 1, pp. 99-110. http://geodesic.mathdoc.fr/item/TMF_2006_149_1_a7/