Integration over the superalgebra in the Hubbard model with the strong correlation

V. S. Kapitonov   ; P. A. Sevastianov

Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 2, pp. 269-287

Résumé

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 $U/t\lesssim 10$.

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