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This article is cited in 4 scientific papers (total in 4 papers)
Supergroup approach to the Hubbard model
V. M. Zharkova, V. S. Kirchanovb a Natural Sciences Institute, Perm State University, Perm,
Russia
b Perm State University for Technology, Perm, Russia
Abstract:
Based on the revealed hidden supergroup structure, we develop a new approach to the Hubbard model. We reveal a relation of even Hubbard operators to the spinor representation of the generators of the rotation group of four-dimensional spaces. We propose a procedure for constructing a matrix representation of translation generators, yielding a curved space on which dynamic superfields are defined. We construct a new deformed nonlinear superalgebra for the regime of spinless Hubbard model fermions in the case of large on-site repulsion and evaluate the effective functional for spinless fermions.
Keywords:
Hubbard model, deformed nonlinear superalgebra, effective functional.
Received: 16.06.2010
Citation:
V. M. Zharkov, V. S. Kirchanov, “Supergroup approach to the Hubbard model”, TMF, 166:2 (2011), 245–260; Theoret. and Math. Phys., 166:2 (2011), 210–223
Linking options:
https://www.mathnet.ru/eng/tmf6606https://doi.org/10.4213/tmf6606 https://www.mathnet.ru/eng/tmf/v166/i2/p245
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Abstract page: | 463 | Full-text PDF : | 190 | References: | 48 | First page: | 17 |
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