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- W1990402947 abstract "Spectral density of local single-particle excitations for the nondegenerate single-impurity Anderson model is calculated for various values of U/ensuremath{pi}ensuremath{Delta}, ${n}_{f}^{0}$ensuremath{equiv}${n}_{f}$(T=0), and T, using the finite-T perturbation theory with U/ensuremath{pi}ensuremath{Delta} as the expansion parameter and the Hartree-Fock (HF) approximation for the unperturbed Hamiltonian. For strong Coulomb correlation and at T=0, ${ensuremath{rho}}_{f}$(ensuremath{omega}) is triple peaked in the Kondo region (${n}_{f}^{0}$ensuremath{simeq}1), double peaked in the intermediate-valence region (0.8ensuremath{gtrsim}${n}_{f}^{0}$ensuremath{gtrsim}0.5) and single peaked in the region of nearly empty (or full) orbital. As T increases, ${ensuremath{rho}}_{f}$(ensuremath{omega}) goes through various regimes, to end up with two peaks of half-width ensuremath{sim}ensuremath{Delta} at the single-particle excitation energies ${ensuremath{varepsilon}}_{f}$ and ${ensuremath{varepsilon}}_{f}$+U. Thus the only effect of hybridization (${V}_{mathrm{k}f}$) at high T and Uensuremath{gg}ensuremath{Delta} is the lifetime broadening of two sharp resonances obtained for ${V}_{mathrm{k}f}$ensuremath{equiv}0, all other many-body effects having been washed out. Comparison with finite-T HF results shows that the HF approximation is reasonable (i.e., correlation is weak) for Uensuremath{lesssim}ensuremath{pi}ensuremath{Delta} ${mathrm{sin}}^{2}$(1/2ensuremath{pi}${mathrm{n}}_{mathrm{f}}^{0}$) at low T, but only for Uensuremath{lesssim}ensuremath{Delta} at high T." @default.
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- W1990402947 date "1987-07-01" @default.
- W1990402947 modified "2023-10-16" @default.
- W1990402947 title "Finite-temperature spectral density for the Anderson model" @default.
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- W1990402947 doi "https://doi.org/10.1103/physrevb.36.675" @default.
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