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

Abstract

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.

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

References in corpus (6)

• Zero-bias conductance in carbon nanotube quantum dots
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Cited by in corpus (8)

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• Field-Enhanced Kondo Correlations in a Half-Filling Nanotube Dot: Evolution of an SU(N) Fermi-Liquid Fixed Point
• Role of bias and tunneling asymmetries in nonlinear Fermi-liquid transport through an SU($N$) quantum dot
• Exact Green's function for a multi-orbital Anderson impurity at high bias voltages
• Thermoelectric transport and current noise through a multilevel Anderson impurity: Three-body Fermi-liquid corrections in quantum dots and magnetic alloys
• 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