Geodesic
Diagram technique for the Hubbard model.
Teoretičeskaâ i matematičeskaâ fizika, Tome 85 (1990) no. 2, pp. 248-257 
S. I. Vakaru; M. I. Vladimir; V. A. Moskalenko. Diagram technique for the Hubbard model.. Teoretičeskaâ i matematičeskaâ fizika, Tome 85 (1990) no. 2, pp. 248-257. http://geodesic.mathdoc.fr/item/TMF_1990_85_2_a8/
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An approximate Dyson equation is formulated for the correlation Green's function and the free-energy diagrams corresponding to this approximation are summed. The basic equations that determine the Mott metal-insulator transition are established. The critical value of the Coulomb interaction is $U_c=W/2$, where $W$ is the width of the band.

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