Reply to “Comment on ‘Conductance scaling in Kondo-correlated quantum dots: Role of level asymmetry and charging energy’”

Abstract

The Comment of A. A. Aligia claims that the superperturbation theory (SPT) approach [E. Mu\~noz, C. J. Bolech, and S. Kirchner, Phys. Rev. Lett. 110, 016601 (2013)] formulated using dual fermions [A. N. Rubtsov, M. I. Katsnelson, and A. I. Lichtenstein, Phys. Rev. B 77, 033101 (2008)] and used by us to compare with numerical renormalization group (NRG) results for the conductance [L. Merker, S. Kirchner, E. Mu\~noz, and T. A. Costi, Phys. Rev. B 87, 165132 (2013)], fails to correctly extend the results of the symmetric Anderson impurity model (SIAM) for general values of the local level ${E}_{d}$ in the Kondo regime. We answer this criticism. We also compare new NRG results for ${c}_{B}$, with ${c}_{B}$ calculated directly from the low-field conductance, with new higher-order SPT calculations for this quantity, finding excellent agreement for all ${E}_{d}$ and for $U/\ensuremath{\pi}\ensuremath{\Delta}$ extending into the strong coupling regime.