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\(1/(N - 1)\) Expansion for an SU(N) Impurity Anderson Model: A New Large-N Scheme Based on a Perturbation Theory in U

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Part of the NATO Science for Peace and Security Series B: Physics and Biophysics book series (NAPSB)

Abstract

Low-energy properties of an SU(N) Anderson model are studied, using the \(1/(N - 1)\) expansion based on a perturbation theory in the Coulomb interaction U. This approach is different from conventional large N theories, such as from the usual 1 ∕ N expansion and the non-crossing approximation based on the expansion in the hybridization matrix element between the impurity orbital and conduction band. In our approach the scaling factor N − 1 appears as the total number of interacting orbitals excluding the one prohibited by the Pauli principle, and it captures the low-energy local Fermi-liquid behavior correctly. We find that the next-leading-order results of the renormalized parameters agree closely with the numerical renormalization group results in a wide range of electron fillings at N = 4, where the degeneracy is still not so large. This ensures the reliability of the next-leading order results for N > 4. Furthermore, we apply this approach to nonequilibrium current through a quantum dot in the Kondo regime.

Keywords

Anderson Impurity Model Next-leading Order Hybridization Matrix Element Kondo Regime Numerical Renormalization Group (NRG) 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

The authors thank T. Kato and A.C. Hewson for discussions. This work is supported by the JSPS Grant-in-Aid for Scientific Research C (No. 23540375, and No. 24540316). Numerical computation was partly carried out at the Yukawa Institute Computer Facility.

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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Department of PhysicsOsaka City UniversityOsakaJapan
  2. 2.Institute for Solid State PhysicsUniversity of TokyoKashiwaJapan

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