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

Abstract

We study the Anderson model as a description of the quantum RC circuit for spin-1/2 electrons and a single level connected to a single lead. Our analysis relies on the Fermi liquid nature of the ground state which fixes the form of the low energy effective model. The constants of this effective model are extracted from a numerical solution of the Bethe ansatz equations for the Anderson model. They allow us to compute the charge relaxation resistance Rq in different parameter regimes. In the Kondo region, the peak in Rq as a function of the magnetic field is recovered and proven to be in quantitative agreement with previous numerical renormalization group results. In the valence-fluctuation region, the peak in Rq is shown to persist, with a maximum value of h/2e^2, and an analytical expression is obtained using perturbation theory. We extend our analysis to the SU(4) Anderson model where we also derive the existence of a giant peak in the charge relaxation resistance.

13 pages, 11 figures

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Cited by in corpus (11)

• Driven dissipative dynamics and topology of quantum impurity systems
• Tunable Hybrid Quantum Electrodynamics from Non-Linear Electron Transport
• At which magnetic field, exactly, does the Kondo resonance begin to split? A Fermi liquid description of the low-energy properties of the Anderson model
• The Kondo Temperature of SU(4) Symmetric Quantum Dots
• Cavity quantum electrodynamics with an out-of-equilibrium quantum dot
• The Interacting Mesoscopic Capacitor Out of Equilibrium
• Phase-Coherent Dynamics of Quantum Devices With Local Interactions
• Anomalous Joule law in the adiabatic dynamics of a normal-superconductor quantum dot
• Work exchange, geometric magnetization and fluctuation-dissipation relations in a quantum dot under adiabatic magnetoelectric driving
• Dynamical charge susceptibility in nonequilibrium double quantum dots
• Quantum transport phenomena induced by time-dependent fields