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arxiv: 1210.3227 · v2 · pith:Q3WYEBGInew · submitted 2012-10-11 · ❄️ cond-mat.mes-hall

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

classification ❄️ cond-mat.mes-hall
keywords approachexpansionandersoncountingfulllargemodelstatistics
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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.

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