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NATO science for peace and security series. B, Physics and biophysics

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

Akira Oguri, Rui Sakano, Tatsuya Fujii

Published Jan 1, 2013• 0 citations
Publisher
DOI
10.1007/978-94-007-6618-1_14

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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.

arXiv:1210.3227•Journal of the Korean Physical Society•Aug 1, 2013•1 citation
1/(N−1)1/(N - 1)1/(N−1) Expansion for an SU(N) Impurity Anderson Model: A New Large-N Scheme Based on a Perturbation Theory in U
Double expansion with respect to UUU and 1/(N−1)1/(N-1)1/(N−1) for an SU(NNN) impurity Anderson model
1/(N−1)1/(N-1)1/(N−1) expansion, NRG, NCA, and exact T→∞T\to \inftyT→∞ limit for the Green's function of an SU(NNN) Anderson impurity
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.