Geodesic
Perturbation theory for nonperiodic Anderson model
Teoretičeskaâ i matematičeskaâ fizika, Tome 110 (1997) no. 2, pp. 308-322

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The periodic Anderson model consisting of electrons of conductivity and $f$-localized electrons is studied. One-knot hybridization of these two subsystems of electrons is treated as a perturbation. A new diagrammic method based on multiparticle one-knot irreducible Green's functions for $f$-electrons and on the usual Wick theorem for the subsystems of electrons of conductivity is developed. The Dyson equations for one-particle Green's functions and relations between them are found. The results are exact and can be used for selfconsistent аpproximations. In the Habbard I approximation the spectrum of one-particle exitations is studied. 
@article{TMF_1997_110_2_a9,
     author = {V. A. Moskalenko},
     title = {Perturbation theory for nonperiodic {Anderson} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {308--322},
     publisher = {mathdoc},
     volume = {110},
     number = {2},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1997_110_2_a9/}
}
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V. A. Moskalenko. Perturbation theory for nonperiodic Anderson model. Teoretičeskaâ i matematičeskaâ fizika, Tome 110 (1997) no. 2, pp. 308-322. http://geodesic.mathdoc.fr/item/TMF_1997_110_2_a9/