Mott-Hubbard Insulator in Infinite Dimensions

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dc.creatorKalinowski, Eva
dc.creatorGebhard, Florian
dc.date2001-09-28
dc.date2001-10-16
dc.date.accessioned2026-07-07T02:42:51Z
dc.date.available2026-07-07T02:42:51Z
dc.descriptionWe calculate the one-particle density of states for the Mott-Hubbard insulating phase of the Hubbard model on a Bethe lattice in the limit of infinite coordination number. We employ the Kato-Takahashi perturbation theory around the strong-coupling limit to derive the Green function. We show that the Green function for the lower Hubbard band can be expressed in terms of polynomials in the bare hole-hopping operator. We check our technique against the exact solution of the Falicov-Kimball model and give explicit results up to and including second order in the inverse Hubbard interaction. Our results provide a stringent test for analytical and numerical investigations of the Mott-Hubbard insulator and the Mott-Hubbard transition within the dynamical mean-field theory. We find that the Hubbard-III approximation is not satisfactory beyond lowest order, but the local-moment approach provides a very good description of the Mott-Hubbard insulator at strong coupling.
dc.description29 pages; accepted for publication in J. Low Temp. Physics; v2: added a factor of two in eqs. (98)-(102); minor changes in Figs. 4+5
dc.identifierhttps://arxiv.org/abs/cond-mat/0109535
dc.identifierhttp://arxiv.org/abs/cond-mat/0109535
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/18312
dc.subjectStrongly Correlated Electrons
dc.titleMott-Hubbard Insulator in Infinite Dimensions
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