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Hubbard model in infinite dimensions
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\ensuremath{\rightarrow}\ensuremath{\infty}. 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.
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Citations
Cited by
Georges, A., Kotliar, G., Krauth, W., & Rozenberg, M. J. (1996) · Reviews of Modern Physics · doi:10.1103/revmodphys.68.13 · Cited by 6,901
Self-citationGapless spin-fluid ground state in a random quantum Heisenberg magnet
Sachdev, S., & Ye, J. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.3339 · Cited by 1,910
Bayesian inference and the analytic continuation of imaginary-time quantum Monte Carlo data
Jarrell, M., & Gubernatis, J. E. (1996) · Physics Reports · doi:10.1016/0370-1573(95)00074-7 · Cited by 1,315
Maier, T., Jarrell, M., Pruschke, T., & Hettler, M. H. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.1027 · Cited by 1,310
Nonequilibrium dynamical mean-field theory and its applications
Aoki, H., Tsuji, N., Eckstein, M., Kollar, M., Oka, T., & Werner, P. (2014) · Reviews of Modern Physics · doi:10.1103/revmodphys.86.779 · Cited by 773
Metadata
- Authors
- Georges, A., & Kotliar, G.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1992-03-15
- Volume
- 45
- Issue
- 12
- Pages
- 6479-6483
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W1983596827
- Cited by
- 1,074
- References
- 0
- FWCI
- 26.47
- Type
- journal article
- Language
- en
- Open access
- closed
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