Geodesic
Peculiarities of pair interaction in the four-band Hubbard model
Teoretičeskaâ i matematičeskaâ fizika, Tome 149 (2006) no. 1, pp. 99-110 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

[1] N. M. Plakida, Vysokotemperaturnye sverkhprovodniki, Mezhdunarodnaya programma obrazovaniya, M., 1996; D. J. Scalapino, Phys. Rep., 250 (1995), 329 ; V. Yu. Yushankhai, V. S. Oudovenko, R. Hayn, Phys. Rev. B, 55 (1997), 15562 ; N. M. Plakida, R. Hayn, J.-L. Richard, Phys. Rev. B, 51 (1995), 16599 ; Н. М. Плакида, Л. Антон, С. Адам, Г. Адам, ЖЭТФ, 124 (2003), 367; cond-mat/0104234 | DOI | DOI | DOI

[2] T. M. Mishonov, J. P. Wallington, E. S. Penev, J. O. Indekeu, Mod. Phys. Lett. B, 16 (2002), 693 ; T. M. Mishonov, A. A. Donkov, R. K. Koleva, E. S. Penev, Bulgarian J. Phys., 24:3/4 (1997), 114 ; cond-mat/0001033 | DOI | Zbl

[3] T. M. Mishonov, J. O. Indekeu, E. S. Penev, Int. J. Mod. Phys. B, 16 (2002), 4577 ; J. Phys.: Cond. Mat., 15 (2003), 4429 | DOI | DOI

[4] F. C. Zhang, T. M. Rice, Phys. Rev. B, 37 (1988), 3759 | DOI

[5] V. J. Emery, G. Reiter, Phys. Rev. B, 38 (1988), 4547 | DOI

[6] V. A. Moskalenko, P. Entel, M. Marinaro, D. F. Digor, D. Greku, EChAYa, 33 (2002), 964; В. А. Москаленко, Н. Б. Перкинс, ТМФ, 121 (1999), 464 | DOI | MR | Zbl

[7] V. A. Moskalenko, P. Entel, M. Marinaro, N. B. Perkins, C. Holtfort, Phys. Rev. B, 63 (2001), 245119 | DOI

[8] M. I. Vladimir, V. A. Moskalenko, TMF, 83 (1990), 428

[9] N. N. Bogolyubov, V. A. Moskalenko, TMF, 86:1 (1991), 16 ; 92 (1992), 182 ; Краткие Сообщения ОИЯИ, 5/44 (1990), 3–28 ; ДАН СССР, 316 (1991), 1107 | MR | Zbl | MR | MR