Geodesic
Integration over the superalgebra in the Hubbard model with the strong correlation
Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 2, pp. 269-287

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A functional representation of the partition function for the Hubbard model with the strong Coulomb repulsion is obtained as an integral over auxiliary Grassman variables. The approximative study of the phase transitions showes: 1) for the small doping constant $\delta$ the system is an antiferromagnetic insulator; 2) for doping $\delta \geqslant t/U$ the system is a ferromagnetic metal when $U/t>10$, and a superconductor metal when $U/t\lesssim 10$. 
@article{TMF_1996_107_2_a8,
     author = {V. S. Kapitonov and P. A. Sevastianov},
     title = {Integration over the superalgebra in the {Hubbard} model with the strong correlation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {269--287},
     publisher = {mathdoc},
     volume = {107},
     number = {2},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1996_107_2_a8/}
}
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V. S. Kapitonov; P. A. Sevastianov. Integration over the superalgebra in the Hubbard model with the strong correlation. Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 2, pp. 269-287. http://geodesic.mathdoc.fr/item/TMF_1996_107_2_a8/