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New Functional Integral Approach to Strongly Correlated Fermi Systems: The Gutzwiller Approximation as a Saddle Point
Abstract
We propose a new functional integral representation of the Hubbarda and Anderson models of lattice fermions. The simplest saddle-point approximation leads, at zero temperature, to the results derived from the Gutzwiller variational wave function. This approach uncovers the limitations of the Gutzwiller approximation and clarifies its connection to the "auxiliary-boson" mean-field theory of the Anderson model. This formulation leads to a novel strong-coupling mean-field theory which allows for a unified treatment of antiferromagnetism and ferromagnetism, metal-to-insulator transition, and Kondo compensation effects.
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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-citationCorrelated Lattice Fermions ind=∞Dimensions
Metzner, W., & Vollhardt, D. (1989) · Physical Review Letters · doi:10.1103/physrevlett.62.324 · Cited by 2,346
Review of techniques in the large-Nexpansion for dilute magnetic alloys
Bickers, N. E. (1987) · Reviews of Modern Physics · doi:10.1103/revmodphys.59.845 · Cited by 658
Antiferromagnetic correlations in almost-localized Fermi liquids
Gros, C., Joynt, R., & Rice, T. M. (1987) · Physical Review B · doi:10.1103/physrevb.36.381 · Cited by 422
Lee, S.-S., & Lee, P. A. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.036403 · Cited by 408
Metadata
- Authors
- Kotliar, G., & Ruckenstein, A. E.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1986-09-15
- Volume
- 57
- Issue
- 11
- Pages
- 1362-1365
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2021838966
- Cited by
- 1,075
- References
- 0
- FWCI
- 15.13
- Type
- journal article
- Language
- en
- Open access
- closed
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- Kotliar, G., & Ruckenstein, A. E. (1986). New Functional Integral Approach to Strongly Correlated Fermi Systems: The Gutzwiller Approximation as a Saddle Point. Physical Review Letters. https://doi.org/10.1103/physrevlett.57.1362
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
