1/(N-1) expansion for a finite U Anderson model away from half-filling

Details 1/(N-1) expansion for a finite U Anderson model away from half-filling 1/(N-1) expansion for a finite U Anderson model away from half-filling

2011-12-28

arxiv.org/abs/1112.6051v2

Phys. Rev. B 85, 155404 (2012)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages: paper is extended including 3 new figures and appendix

Scientific paper

We apply recently developed 1/(N-1) expansion to a particle-hole asymmetric SU(N) Anderson model with finite Coulomb interaction U. To leading order in 1/(N-1) it describes the Hartree-Fock random phase approximation (HF-RPA), and the higher-order corrections describe systematically the fluctuations beyond the HF-RPA. We show that the next-leading order results of the renormalized parameters for the local Fermi-liquid state agree closely with the numerical renormalization group results at N=4. It ensures the reliability of the next-leading order results for N>4, and we examine the N dependence of the local Fermi-liquid parameters. Our expansion scheme uses the standard Feynman diagrams, and has wide potential applications.

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