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We study the Anderson model as a description of the quantum RC circuit forspin-1/2 electrons and a single level connected to a single lead. Our analysisrelies on the Fermi liquid nature of the ground state which fixes the form ofthe low energy effective model. The constants of this effective model areextracted from a numerical solution of the Bethe ansatz equations for theAnderson model. They allow us to compute the charge relaxation resistance Rq indifferent parameter regimes. In the Kondo region, the peak in Rq as a functionof the magnetic field is recovered and proven to be in quantitative agreementwith previous numerical renormalization group results. In thevalence-fluctuation region, the peak in Rq is shown to persist, with a maximumvalue of h/2e^2, and an analytical expression is obtained using perturbationtheory. We extend our analysis to the SU(4) Anderson model where we also derivethe existence of a giant peak in the charge relaxation resistance.

Admittance of the SU(2) and SU(4) Anderson quantum RC circuits