Diagrammatic theory of the Anderson impurity model with finite Coulomb interaction

Details Diagrammatic theory of the Anderson impurity model with finite Coulomb interaction Diagrammatic theory of the Anderson impurity model with finite Coulomb interaction

2000-07-17

arxiv.org/abs/cond-mat/0007274v1

in "Kondo Effect and dephasing in low-dimensional metallic systems", NATO Science Series II, vol. 50, 211 (Kluwer Academic Pub

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 2 figures, presented at the NATO Advanced Research Workshop on "Size Dependent MAgnetic Scattering", Pecs, Hungary, M

Scientific paper

We have developed a self-consistent conserving pseudo particle approximation for the Anderson impurity model with finite Coulomb interaction, derivable from a Luttinger Ward functional. It contains an infinite series of skeleton diagrams built out of fully renormalized Green's functions. The choice of diagrams is motivated by the Schrieffer Wolff transformation which shows that singly and doubly occupied states should appear in all bare diagrams symmetrically. Our numerical results for $T_K$ are in excellent agreement with the exact values known from the Bethe ansatz solution. The low energy physics of non-Fermi liquid Anderson impurity systems is correctly described while the present approximation fails to describe Fermi liquid systems, since some important coherent spin flip and charge transfer processes are not yet included. It is believed that CTMA (Conserving T-matrix approximation) diagrams will recover also Fermi liquid behavior for Anderson models with finite Coulomb interaction as they do for infinite Coulomb interaction.

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