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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
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
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
Linking options:
https://www.mathnet.ru/eng/tmf6151https://doi.org/10.4213/tmf6151 https://www.mathnet.ru/eng/tmf/v154/i1/p63
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Abstract page: | 575 | Full-text PDF : | 374 | References: | 61 | First page: | 8 |
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