Geodesic
Perturbation theory and the exchange interaction in the one-dimensional Hubbard model
Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 1, pp. 132-138

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In the framework of a diagram technique for Hubbard operators, a perturbation theory is formulated that takes into account scale renormalization of anomalous vertices. For the one-dimensional Hubbard model with strong correlation and quarter-filled band this perturbation theory is used to calculate the exchange interaction in a dimerized chain as a function of the dimerization and the parameters of the model. 
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     author = {V. M. Zharkov},
     title = {Perturbation theory and the exchange interaction in the one-dimensional {Hubbard} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {132--138},
     publisher = {mathdoc},
     volume = {46},
     number = {1},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_46_1_a12/}
}
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V. M. Zharkov. Perturbation theory and the exchange interaction in the one-dimensional Hubbard model. Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 1, pp. 132-138. http://geodesic.mathdoc.fr/item/TMF_1981_46_1_a12/