The DOI matches its Crossref record; 18 of the 18 references it cites were found in a registry or an index.
Mixed valence as an almost broken symmetry
Abstract
By using a generalized version of the infinite-$U$ Anderson model, strong-coupling properties of mixed-valence systems are modeled by means of an expansion about a broken-symmetry mean-field theory. A renormalized Fermi liquid, with heavy-fermion bands in the lattice is an intrinsic feature of this mean-field theory. Strong-coupling divergence of the Kondo coupling constant arises as a direct consequence of the zero-mode fluctuations about the broken-symmetry state. In the large-degeneracy limit these fluctuations vanish and the broken-symmetry state is an exact solution, explicitly confirmed for the single-impurity case by a new Bethe-ansatz solution. The crossover to strong coupling is a vestige of the phase transition into the broken-symmetry state. Landau parameters, charge and spin correlations of the heavy Fermi liquid are directly related to the fluctuations about the broken-symmetry state. The general approach presented is applicable to an arbitrary number of impurities or a lattice. Analytic results are presented for the Landau parameters, the dynamical charge and spin correlations in the one- and the two-impurity models, and the one-impurity $f$ spectral function.
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Citations
Cites
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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
Review of techniques in the large-Nexpansion for dilute magnetic alloys
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Weak magnetism and non-Fermi liquids near heavy-fermion critical points
Senthil, T., Vojta, M., & Sachdev, S. (2004) · Physical Review B · doi:10.1103/physrevb.69.035111 · Cited by 553
Florens, S., & Georges, A. (2004) · Physical Review B · doi:10.1103/physrevb.70.035114 · Cited by 268
Metadata
- Authors
- Coleman, P.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1987-04-01
- Volume
- 35
- Issue
- 10
- Pages
- 5072-5116
- ISSN
- 0163-1829 (ISSN-L)
- OpenAlex
- W2010888887
- Cited by
- 405
- References
- 18
- FWCI
- 6.02
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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