Geodesic
Diagram theory for the~twofold-degenerate Anderson impurity model
Teoretičeskaâ i matematičeskaâ fizika, Tome 178 (2014) no. 1, pp. 131-146

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We develop a diagram technique for investigating the twofold-degenerate Anderson impurity model in the normal state with the strong electronic correlations of d electrons of the impurity ion taken into account. We discuss the properties of the Slater–Kanamori model of d electrons. After finding the eigenfunctions and eigenvalues of all 16 local states, we determine the local one-particle propagator. We construct the perturbation theory around the atomic limit of the impurity ion and obtain a Dyson-type equation establishing the relation between the impurity electron propagator and the normal correlation function. As a result of summing infinite series of ladder diagrams, we obtain an approximation for the correlation function.
Keywords: strong correlated electron system, Dyson equation, Green's function, Anderson impurity model. 
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     author = {V. A. Moskalenko and L. A. Dohotaru and D. F. Digor and I. D. Chebotar'},
     title = {Diagram theory for the~twofold-degenerate {Anderson} impurity model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {178},
     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2014_178_1_a4/}
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V. A. Moskalenko; L. A. Dohotaru; D. F. Digor; I. D. Chebotar'. Diagram theory for the~twofold-degenerate Anderson impurity model. Teoretičeskaâ i matematičeskaâ fizika, Tome 178 (2014) no. 1, pp. 131-146. http://geodesic.mathdoc.fr/item/TMF_2014_178_1_a4/