$1/(N-1)$ expansion, NRG, NCA, and exact $T\to \infty$ limit for the Green's function of an SU( $N$ ) Anderson impurity$1/(N-1)$ expansion, NRG, NCA, and exact $T\to \infty$ limit for the Green's function of an SU($N$) Anderson impurity

Akira Oguri, Rui Sakano

Bulletin of the American Physical SocietyMar 3, 20150 citations

Correlated Fermion Systems on a Lattice. Anderson Model

WORLD SCIENTIFIC eBooksMar 5, 20170 citations

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

Akira Oguri, Rui Sakano

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.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:1210.3227Journal of the Korean Physical SocietyAug 1, 20131 citation

Numerical renormalization group study of the one-dimensional Anderson lattice

M. Guerrero, Clare C. Yu

Physica B Condensed MatterFeb 1, 19951 citation

Double expansion with respect to $U$ and $1/(N-1)$ for an SU( $N$ ) impurity Anderson modelDouble expansion with respect to $U$ and $1/(N-1)$ for an SU($N$) impurity Anderson model

Akira Oguri, 美由紀粟根

Bulletin of the American Physical SocietyMar 4, 20140 citations

1/(N-1)

expansion, NRG, NCA, and exact

T\to \infty

limit for the Green's function of an SU(

N

) Anderson impurity

Double expansion with respect to

U

and

1/(N-1)

for an SU(

N

) impurity Anderson model