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- W2059495655 abstract "The Anderson impurity model including a linear coupling to a local boson mode is solved exactly in the large-degeneracy limit for infinitely large $fensuremath{-}f$ Coulomb repulsion. Ground-state properties and the $f$-level Green's function are discussed. For a small boson frequency ${ensuremath{omega}}_{0}$, two different types of mixed-valence behavior occur, depending on the strength $v$ of the electron-phonon coupling. In the weak-coupling limit the lattice shows small fluctuations around its average position, while for a strong-coupling $v$ there exists a narrow regime of energies, ${ensuremath{epsilon}}_{f}$, of the $f$-level where mixed-valence behavior with large mean-square lattice deviations occurs. For finite phonon frequencies ${ensuremath{omega}}_{0}$, quantum fluctuations smooth out the first-order transition occurring in the limit ${ensuremath{omega}}_{0}ensuremath{rightarrow}0$. In the weak-coupling limit, the mean-field approximation of the electron-phonon coupling, leading to a renormalization of the $f$-level position, provides a good description of the ground-state properties and the $f$-level spectrum. In the strong-coupling mixed-valence regime, some ground-state properties can be interpreted in terms of a renormalized $f$-electron-conduction-electron coupling $stackrel{ifmmode tilde{}else ~{}fi{}}{ensuremath{Delta}}ensuremath{rightarrow}stackrel{ifmmode tilde{}else ~{}fi{}}{ensuremath{Delta}}mathrm{exp}(frac{ensuremath{-}v}{{ensuremath{omega}}_{0}})ensuremath{equiv}overline{ensuremath{Delta}}$. This renormalization does not occur for the width of $f$-level peak in the one-particle Green's function. In this regime, the $f$-level spectral function can be described as a superposition of two spectra. The relative weight of these two spectra varies rapidly when ${ensuremath{epsilon}}_{f}$ varies of the order $overline{ensuremath{Delta}}$ in the transition regime, while the individual spectra change little. The large-boson-frequency limit (plasmon case) is also discussed with special emphasis on the renormalization occurring in this limit." @default.
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- W2059495655 date "1984-09-15" @default.
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- W2059495655 title "Local polaron effects in mixed-valence systems: Exact model calculation in the limit of large degeneracy" @default.
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- W2059495655 doi "https://doi.org/10.1103/physrevb.30.3141" @default.
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