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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 166, Number 2, Pages 245–260
DOI: https://doi.org/10.4213/tmf6606 (Mi tmf6606) 		 
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
Full-text PDF (458 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf6606
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
English version:
Theoretical and Mathematical Physics, 2011, Volume 166, Issue 2, Pages 210–223
DOI: https://doi.org/10.1007/s11232-011-0015-0
Bibliographic databases:
Document Type: Article
Language: Russian
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
Citation in format AMSBIB
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\paper Supergroup approach to the~Hubbard model
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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