Geodesic
A~diagram approach to the~strong coupling in the~single-impurity
Teoretičeskaâ i matematičeskaâ fizika, Tome 155 (2008) no. 3, pp. 474-497

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We propose a diagram theory around the atomic limit for the single-impurity Anderson model in which the strongly correlated impurity electrons hybridize with free (uncorrelated) conduction electrons. Using this diagram approach, we prove a linked-cluster theorem for the vacuum diagrams and derive Dyson-type equations for localized and conduction electrons and the corresponding equations for mixed propagators. The system of equations can be closed by summing an infinite series of ladder diagrams containing irreducible Green's functions. The result allows discussing resonances associated with quantum transitions at the impurity site.
Keywords: strong correlation, spectral function, Dyson equation, Green's function, Anderson impurity model. 
@article{TMF_2008_155_3_a6,
     author = {V. A. Moskalenko and P. Entel and D. F. Digor and L. A. Dohotaru and R. Citro},
     title = {A~diagram approach to the~strong coupling in the~single-impurity},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {474--497},
     publisher = {mathdoc},
     volume = {155},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_155_3_a6/}
}
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V. A. Moskalenko; P. Entel; D. F. Digor; L. A. Dohotaru; R. Citro. A~diagram approach to the~strong coupling in the~single-impurity. Teoretičeskaâ i matematičeskaâ fizika, Tome 155 (2008) no. 3, pp. 474-497. http://geodesic.mathdoc.fr/item/TMF_2008_155_3_a6/