Hubbard model in infinite dimensions

Antoine Georges, Gabriel Kotliar

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Abstract

We present an exact mapping of the Hubbard model in infinite dimensions onto a single-impurity Anderson (or Wolff) model supplemented by a self-consistency condition. This provides a mean-field picture of strongly corrrelated systems, which becomes exact as d. We point out a special integrable case of the mean-field equations, and study the general case using a perturbative renormalization group around the atomic limit. Three distinct Fermi-liquid regimes arise, corresponding to the Kondo, mixed-valence, and empty-orbitals regimes of the single-impurity problem. The Kondo resonance and the satellite peaks of the single-impurity model correspond to the quasiparticle and Hubbard-bands features of the Hubbard model, respectively.

Original languageEnglish (US)
Pages (from-to)6479-6483
Number of pages5
JournalPhysical Review B
Volume45
Issue number12
DOIs
StatePublished - 1992

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

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