Numerical Renormalization Group Calculations for the Self-energy of the impurity Anderson model

Details Numerical Renormalization Group Calculations for the Self-energy of the impurity Anderson model Numerical Renormalization Group Calculations for the Self-energy of the impurity Anderson model

1998-04-21

arxiv.org/abs/cond-mat/9804224v1

J. Phys.: Condens. Matter 10 (1998) 8365

Physics

Condensed Matter

Strongly Correlated Electrons

18 pages, 9 figures, submitted to J. Phys.: Condens. Matter

Scientific paper

10.1088/0953-8984/10/37/021

We present a new method to calculate directly the one-particle self-energy of an impurity Anderson model with Wilson's numerical Renormalization Group method by writing this quantity as the ratio of two correlation functions. This way of calculating Sigma(z) turns out to be considerably more reliable and accurate than via the impurity Green's function alone. We show results for the self-energy for the case of a constant coupling between impurity and conduction band (ImDelta = const) and the effective Delta(z) arising in the Dynamical Mean Field Theory of the Hubbard model. Implications to the problem of the metal-insulator transition in the Hubbard model are also discussed.

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