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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 209, Pages 102–120 (Mi znsl5846)  
This article is cited in 1 scientific paper (total in 1 paper)

Functional representation of the partition function and phase transitions in the Hubbard model

V. S. Kapitonov

St. Petersburg State Technological Institute
Full-text PDF (652 kB) Citations (1)
Abstract: The functional representation of the partition function for the Hubbard model with strong Coulomb repulsion is obtained as integral by auxiliary Grassmann variables.
The approximative study of the phase transitions showes:
1) for the small doping constant $\delta$ the system is an antiferromagnetic isolator;
2) for doping $\delta\ge t/U$ the system is a ferromagnetic metal for $U/t>10$, and a superconductor metal for $U/t\lesssim10$.
Bibliography: 13 titles.
Received: 25.07.1993
English version:
Journal of Mathematical Sciences, 1997, Volume 83, Issue 1, Pages 62–74
DOI: https://doi.org/10.1007/BF02398461
Bibliographic databases:
Document Type: Article
UDC: 536.7
Language: Russian
Citation: V. S. Kapitonov, “Functional representation of the partition function and phase transitions in the Hubbard model”, Questions of quantum field theory and statistical physics. Part 12, Zap. Nauchn. Sem. POMI, 209, Nauka, St. Petersburg, 1994, 102–120; J. Math. Sci., 83:1 (1997), 62–74
Citation in format AMSBIB
\Bibitem{Kap94}
\by V.~S.~Kapitonov
\paper Functional representation of the partition function and phase transitions in the Hubbard model
\inbook Questions of quantum field theory and statistical physics. Part~12
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 209
\pages 102--120
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5846}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1328636}
\zmath{https://zbmath.org/?q=an:0849.60100|0868.60095}
\transl
\jour J. Math. Sci.
\yr 1997
\vol 83
\issue 1
\pages 62--74
\crossref{https://doi.org/10.1007/BF02398461}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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