Three-body Fermi-liquid effects on transport through the U=∞ Anderson impurity

We investigate the impact of three-body Fermi-liquid corrections on the transport through an Anderson model with N degenerate levels. Specifically, we consider the strong interaction limit where U=∞ and the occupation number n_d of the impurity levels varies in the range 0<n_d<1, which includes the Kondo and the valence fluctuation regimes, depending on the level position ε_d. The three-body correlations among the impurity electrons emerge in the case where the system does not have the electron-hole and the time-reversal symmetries. They have recently been shown to play an essential role in the next-leading order terms of transport coefficients at low energies, together with the other well-known Fermi-liquid parameters such as the phase shift, the Wilson ratio, and the renormalization factors [1-3]. We calculate the next-leading order terms of the nonlinear conductance, the current noise, and the thermal conductance for quantum dots with N=4, using the numerical renormalization (NRG) approach. In our presentation, we will provide an overview of the NRG results and discuss the implications of the three-body effects. [1] A. Oguri, and A. C. Hewson, PRL 120, 126802 (2018). [2] M. Filippone, C. Moca, A. Weichselbaum, J. von Delft, and C. Mora, PRB 98, 075404 (2018). [3] C. Mora, P. Vitushinsky, X. Leyronas, A. A. Clerk, and K. Le Hur, PRB 80, 155322 (2009).