Geodesic
Diagram technique for the Hubbard model
Teoretičeskaâ i matematičeskaâ fizika, Tome 82 (1990) no. 3, pp. 428-437

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A generalized Wick theorem is formulated for the Hubbard model. According to the theorem, the mean value of the time-ordered product of electron operators is represented as a sum of products of single-site cumulants. The theorem is used to construct a diagram technique for the temperature-dependent Green's functions. A Dyson equation for the single-particle Green's function and an expression for the free energy are obtained. 
@article{TMF_1990_82_3_a9,
     author = {M. I. Vladimir and V. A. Moskalenko},
     title = {Diagram technique for the {Hubbard} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {428--437},
     publisher = {mathdoc},
     volume = {82},
     number = {3},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1990_82_3_a9/}
}
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M. I. Vladimir; V. A. Moskalenko. Diagram technique for the Hubbard model. Teoretičeskaâ i matematičeskaâ fizika, Tome 82 (1990) no. 3, pp. 428-437. http://geodesic.mathdoc.fr/item/TMF_1990_82_3_a9/