English

1/(N-1) expansion approach to full counting statistics for the SU(N) Anderson model

Mesoscale and Nanoscale Physics 2013-08-27 v2

Abstract

We apply a recently developed 1/(N-1) expansion to the full counting statistics for the N-fold degenerate Anderson impurity model in the Kondo regime. This approach is based on the perturbation theory in the Coulomb interaction U and is different from the conventional large N theories, such as the usual 1/N expansion and non-crossing approximation. We have confirmed that the calculations carried out up to order 1/(N-1)^2 agree closely with those of the numerical renormalization group at N=4, where the degeneracy is still not so large. This ensures the applicability of our approach for N>4. We present the results of the cumulants of the probability distribution function for a nonequilibrium current through a quantum dot in the particle-hole symmetric case.

Keywords

Cite

@article{arxiv.1210.3227,
  title  = {1/(N-1) expansion approach to full counting statistics for the SU(N) Anderson model},
  author = {Akira Oguri and Rui Sakano},
  journal= {arXiv preprint arXiv:1210.3227},
  year   = {2013}
}

Comments

4 pages, 6 figures, typos have been corrected