Full counting statistics for orbital-degenerate impurity Anderson model with Hund's rule exchange coupling

Abstract

We study non-equilibrium current fluctuations through a quantum dot, which includes a ferromagnetic Hund's rule coupling $J$, in the low-energy Fermi liquid regime using the renormalized perturbation theory. The resulting cumulant for the current distribution in the particle-hole symmetric case, shows that spin-triplet and spin-singlet pairs of quasiparticles are formed in the current due to the Hund's rule coupling and these pairs enhance the current fluctuations. In the fully screened higher-spin Kondo limit, the Fano factor takes a value $F_b=(9M+6)/(5M+4)$ determined by the orbital degeneracy $M$. We also investigate crossover between the small and large $J$ limits in the two-orbital case M=2, using the numerical renormalization group approach.

5 pages, 3 figures

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• Hund and pair-hopping signature in transport properties of degenerate nanoscale devices
• 1/(N-1) expansion approach to full counting statistics for the SU(N) Anderson model
• Current cross-correlation in the Anderson impurity model with exchange interaction
• Full-counting statistics of information content and heat quantity in the steady state and the optimum capacity
• Bell-state correlations in current of local Fermi liquid