This article is cited in 2 papers

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

V. S. Kapitonov, P. A. Sevastianov

State Technological Institute of St. Petersburg

Abstract: 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 $U/t\lesssim 10$.

Received: 29.06.1996

DOI: 10.4213/tmf1155

 English version: Theoretical and Mathematical Physics, 1996, 107:2, 635–649

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