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We examine the concept of universal quantized resistance in the AC regimethrough the fully coherent quantum RC circuit comprising a cavity (dot)capacitively coupled to a gate and connected via a single spin-polarizedchannel to a reservoir lead. As a result of quantum effects such as the Coulombinteraction in the cavity and global phase coherence, we show that the chargerelaxation resistance $R_q$ is identical for weak and large transmissions andit changes from $h/2e^2$ to $h/e^2$ when the frequency (times $\hbar$) exceedsthe level spacing of the cavity; $h$ is the Planck constant and $e$ theelectron charge. For large cavities, we formulate a correspondence between thecharge relaxation resistance $h/e^2$ and the Korringa-Shiba relation of theKondo model. Furthermore, we introduce a general class of models, for which thecharge relaxation resistance is universal. Our results emphasize that thecharge relaxation resistance is a key observable to understand the dynamics ofstrongly correlated systems.

Universal Resistances of the Quantum RC circuit