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TMF, 1978, Volume 36, Number 2, Pages 208–223 (Mi tmf4301)  

This article is cited in 6 scientific papers (total in 6 papers)

Self-consistent theory of electron correlation in the Hubbard model

A. L. Kuzemsky


Abstract: The Dyson equation for the two-time thermal Green's functions is used for a self-consistent calculation of the single-particle Green's functions in the Hubbard model. The method makes it possible to obtain a generalized interpolation solution of the Hubbard model valid for arbitrary relationship between the effective band width and the Coulomb repulsion parameter. Two variants of the theory make it possible to obtain two exact representations for the mass operator, which are used to obtain approximate solutions in the atomic and band limits.

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English version:
Theoretical and Mathematical Physics, 1978, 36:2, 692–702

Received: 21.06.1977

Citation: A. L. Kuzemsky, “Self-consistent theory of electron correlation in the Hubbard model”, TMF, 36:2 (1978), 208–223; Theoret. and Math. Phys., 36:2 (1978), 692–702

Citation in format AMSBIB
\Bibitem{Kuz78}
\by A.~L.~Kuzemsky
\paper Self-consistent theory of electron correlation in the Hubbard model
\jour TMF
\yr 1978
\vol 36
\issue 2
\pages 208--223
\mathnet{http://mi.mathnet.ru/tmf4301}
\transl
\jour Theoret. and Math. Phys.
\yr 1978
\vol 36
\issue 2
\pages 692--702
\crossref{https://doi.org/10.1007/BF01036482}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. V. Vedyaev, V. A. Ivanov, “Elementary excitations in the Hubbard model”, Theoret. and Math. Phys., 50:3 (1982), 273–276  mathnet  crossref  isi
    2. G. M. Vuiichich, A. L. Kuzemsky, N. M. Plakida, “Equations of superconductivity for transition metals in the Wannier representation”, Theoret. and Math. Phys., 53:1 (1982), 1035–1040  mathnet  crossref  isi
    3. A. L. Kuzemsky, D. Marvakov, “Excitation spectrum of Heisenberg antiferromagnet at finite temperatures”, Theoret. and Math. Phys., 83:1 (1990), 441–448  mathnet  crossref  isi
    4. Chan Minh Tien, “Electron-phonon superconductivity mechanisms in the Hubbard model”, Theoret. and Math. Phys., 91:3 (1992), 650–657  mathnet  crossref  mathscinet  isi
    5. Kuzemsky A.L., “Quasiaverages, symmetry breaking and irreducible Green functions method”, Condensed Matter Physics, 13:4 (2010), 43001  crossref  isi
    6. Chechulin V.L., “K periodizatsii istorii fiziki”, Vestnik permskogo universiteta. seriya: matematika. mekhanika. informatika, 2012, no. 4, 110–121  elib
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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