Abstract
The functional representation of the partition function for the Hubbard model with strong Coulomb repulsion is obtained in the form of an integral with respect to auxiliary Grassmann variables.
The approximate study of the phase transitions shows:
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1)
for a small doping constant δ, the system is an antiferromagnetic dielectric;
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2)
for δ≥t/V, the system is a ferromagnetic metal if U/t>10 and superconducting metal if U/t≲ 10. Bibliography:13 titles.
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Additional information
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 209, 1994, pp. 102–120.
Translated by B. M. Bekker.
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Kapitonov, V.S. Functional representation of the partition function and phase transitions in the Hubbard model. J Math Sci 83, 62–74 (1997). https://doi.org/10.1007/BF02398461
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DOI: https://doi.org/10.1007/BF02398461