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Kondo spectral functions at low-temperatures: A dynamical-exchange-correlation-field perspective.

by Zhen Zhao

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Authors (as registered SciPost users):

Zhen Zhao

Abstract

We calculate the low-temperature spectral function of the symmetric single impurity Anderson model using a recently proposed dynamical exchange-correlation (xc) field formalism. The xc field, coupled to the one-particle Green's function, is obtained through analytic analysis and numerical extrapolation based on finite clusters. In the Kondo regime, the xc field consists of a complex constant term and a main quasiparticle-like oscillation term. The constant term represents the Hubbard side-band contribution, containing a bath-induced broadening effect, while the quasiparticle-like term is related to the Kondo resonance peak at low-temperature. We illustrate these features in terms of analytical and numerical calculations for small and medium-size finite clusters, and in the thermodynamic limit. The results indicate that the xc field formalism provides a good trade-off between accuracy and complexity in solving impurity problems. Consequently, it can significantly reduce the complexity of the many-body problem faced by first-principles approaches to strongly correlated materials.

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