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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao https://doi.org/10.1...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
https://doi.org/10.1103/physre...
Article . 1987 . Peer-reviewed
License: APS Licenses for Journal Article Re-use
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Finite-temperature spectral density for the Anderson model

Authors: , Horvatic; , Sokcevic; , Zlatic;

Finite-temperature spectral density for the Anderson model

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 (0.8\ensuremath{\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 U\ensuremath{\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 U\ensuremath{\lesssim}\ensuremath{\pi}\ensuremath{\Delta} ${\mathrm{sin}}^{2}$(1/2\ensuremath{\pi}${\mathrm{n}}_{\mathrm{f}}^{0}$) at low T, but only for U\ensuremath{\lesssim}\ensuremath{\Delta} at high T.

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Powered by OpenAIRE graph
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
75
Top 10%
Top 1%
Top 10%
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