1/(N-1) expansion based on a perturbation theory in U for the Anderson model with N-fold degeneracy

Abstract

We study low-energy properties of the N-fold degenerate Anderson model. Using a scaling that takes u=(N-1) U as an independent variable in place of the Coulomb interaction U, the perturbation series in U is reorganized as an expansion in powers of 1/(N-1). We calculate the renormalized parameters, which characterize the Kondo state, to the next leading order in the 1/(N-1) expansion at half-filling. The results, especially the Wilson ratio, agree very closely with the exact numerical renormalization group results at N=4. This ensures the applicability of our approach to N > 4, and we present highly reliable results for nonequilibrium Kondo transport through a quantum dot.

5 pages, 6 figures

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• Role of bias and tunneling asymmetries in nonlinear Fermi-liquid transport through an SU($N$) quantum dot
• Thermoelectric transport and current noise through a multilevel Anderson impurity: Three-body Fermi-liquid corrections in quantum dots and magnetic alloys
• Exact Green's function for a multi-orbital Anderson impurity at high bias voltages
• Three-body Fermi liquid corrections for an infinite-$U$ SU($N$) Anderson impurity model
• 1/(N-1) expansion approach to full counting statistics for the SU(N) Anderson model
• Three-body Fermi-liquid corrections for Andreev transport through quantum dots