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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 154, Number 1, Pages 63–76
DOI: https://doi.org/10.4213/tmf6151
(Mi tmf6151)
 

This article is cited in 3 scientific papers (total in 3 papers)

Study of the Hubbard model at half filling

Yu. A. Izyumov, N. I. Chashchin

Institute of Metal Physics, Ural Division of the Russian Academy of Sciences
Full-text PDF (544 kB) Citations (3)
References:
Abstract: Under the conditions of a strong Coulomb repulsion between electrons at a lattice site, we now study the equations for the self-energy part of the electron Green's function, which we previously obtained using the generating functional method. These equations have a form close to that corresponding to the self-consistent Born approximation in the weak-coupling theory. In these equations, we omit the dependence of the self-energy on the momentum, which corresponds to the infinite-dimensional space limit. We then numerically solve the integral equations, where all the variables depend only on the frequency, and obtain results consistent with the dynamical mean field theory. In particular, we show that as the Coulomb repulsion increases, the three-peak structure of the quasiparticle spectrum changes into a two-peak structure and the metal–insulator phase transition occurs. The proposed method can be used to study other models of the theory of strongly correlated systems.
Keywords: strongly correlated system, Hubbard model, metal–insulator phase transition.
Received: 05.06.2007
English version:
Theoretical and Mathematical Physics, 2008, Volume 154, Issue 1, Pages 52–63
DOI: https://doi.org/10.1007/s11232-008-0005-z
Bibliographic databases:
Language: Russian
Citation: Yu. A. Izyumov, N. I. Chashchin, “Study of the Hubbard model at half filling”, TMF, 154:1 (2008), 63–76; Theoret. and Math. Phys., 154:1 (2008), 52–63
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6151
  • https://doi.org/10.4213/tmf6151
  • https://www.mathnet.ru/eng/tmf/v154/i1/p63
  • This publication is cited in the following 3 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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    Abstract page:575
    Full-text PDF :374
    References:61
    First page:8
     
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