Geodesic
Graphical technique for the generalized Hubbard model
Teoretičeskaâ i matematičeskaâ fizika, Tome 25 (1975) no. 1, pp. 87-96

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Perturbation theory is constructed for evaluating Green's functions in the system of hybrydized $s$- and $d$-electrons with strong inter-atomic correlation. Summation of the perturbation theory series is performed by means of the diagram technique for Hubbard operators. It is shown that the scattering of the $s$-electrons on the sites gives rise to the logarithmic renormalization of the $d$-levels, the nature of which is the same as in the one-impurity Anderson model. 
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     author = {A. F. Barabanov and K. A. Kikoin and L. A. Maksimov},
     title = {Graphical technique for the generalized {Hubbard} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {25},
     number = {1},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1975_25_1_a10/}
}
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A. F. Barabanov; K. A. Kikoin; L. A. Maksimov. Graphical technique for the generalized Hubbard model. Teoretičeskaâ i matematičeskaâ fizika, Tome 25 (1975) no. 1, pp. 87-96. http://geodesic.mathdoc.fr/item/TMF_1975_25_1_a10/