Beyond the Nca: New Results for the Spectral Properties of the Anderson Model

Physics – Condensed Matter

Scientific paper

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3 pages including 4 figures, Postscript file, self-extracting shell script;(submitted to the SCES 94 Conference, Amsterdam)

Scientific paper

10.1016/0921-4526(94)00400-P

In the framework of direct perturbation theory a fully self-consistent approximation beyond the well known NCA will be presented for the Anderson Model. The resummation of a class of skeleton diagrams up to infinite order in $V$ includes all contribution up to the order $O(1/N^2)$ ( $N$ = degeneracy of the magnetic state). Qualitative improvements in maintaining local Fermi-Liquid relations and one-particle spectral properties in comparison to the well known NCA will be reported. The location and temperature dependence of the AS-resonance for the case $N=2$ is found to be rather close to the chemical potential in excellent agreement with Friedel's sum rule; the static magnetic susceptibility exhibits the same $N$-dependence as the exact {\em Bethe-Ansatz} solution.

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