Study of the~Hubbard model at half filling
Teoretičeskaâ i matematičeskaâ fizika, Tome 154 (2008) no. 1, pp. 63-76
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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.
@article{TMF_2008_154_1_a3,
author = {Yu. A. Izyumov and N. I. Chashchin},
title = {Study of {the~Hubbard} model at half filling},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {63--76},
publisher = {mathdoc},
volume = {154},
number = {1},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2008_154_1_a3/}
}
Yu. A. Izyumov; N. I. Chashchin. Study of the~Hubbard model at half filling. Teoretičeskaâ i matematičeskaâ fizika, Tome 154 (2008) no. 1, pp. 63-76. http://geodesic.mathdoc.fr/item/TMF_2008_154_1_a3/