Integration over a superalgebra in the hubbard model with a strong correlation |
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Authors: | V. S. Kapitonov P. A. Sevastyanov |
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Affiliation: | (1) St. Petersburg State Institute of Technology, USSR |
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Abstract: | We represent the partition function of the Hubbard model with a strong Coulomb repulsion as a path integral over auxiliary Grassman variables. An approximate analysis of the phase transitions demonstrates that (1) the system is an antiferromagnetic insulator when the doping constant is small, (2) when t/U, the system is a ferromagnetic metal if U/t > 10, and a superconducting metal if U/t 10.Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 107, No. 2, pp. 269–287, May, 1996.Translated by A. M. Semikhatov. |
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