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

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

2011-08-11

arxiv.org/abs/1108.2434v1

Phys. Rev. B 84, 113301 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 6 figures

Scientific paper

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.

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