Michele Filippone

Giant charge relaxation resistance in the Anderson model.

We investigate the dynamical charge response of the Anderson model viewed as a quantum RC circuit. Applying a low-energy effective Fermi liquid theory, a generalized Korringa-Shiba formula is derived at zero temperature, and the charge relaxation resistance is expressed solely in terms of static susceptibilities which are accessible by Bethe ansatz. We identify a giant charge relaxation resistance at intermediate magnetic fields related to the destruction of the Kondo singlet. The scaling properties of this peak are computed analytically in the Kondo regime. We also show that the resistance peak fades away at the particle-hole symmetric point.

Interacting mesoscopic capacitor out of equilibrium

We consider the full nonequilibrium response of a mesoscopic capacitor in the large transparency limit, exactly solving a model with electron-electron interactions appropriate for a cavity in the quantum Hall regime. For a cavity coupled to the electron reservoir via an ideal point contact, we show that the response to any time-dependent gate voltage

Kondo temperature of SU(4) symmetric quantum dots

{V}_{\mathrm{g}}(t)

Fermi liquid approach to the quantum R C circuit: Renormalization group analysis of the Anderson and Coulomb blockade models

is strictly linear in

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

{V}_{\mathrm{g}}

Drude weight fluctuations in many-body localized systems

. We analyze the charge and current response to a sudden gate voltage shift and find that this response is not captured by a simple circuit analogy. In particular, in the limit of strong interactions a sudden change in the gate voltage leads to the emission of a sequence of multiple charge pulses, the width and separation of which are controlled by the charge-relaxation time

Tunneling into quantum wires

{\ensuremath{\tau}}_{\mathrm{c}}=h{C}_{\mathrm{g}}/{e}^{2}

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

and the time of flight

Universal Hall Response in Synthetic Dimensions.

{\ensuremath{\tau}}_{\mathrm{f}}

Bulk Pumping in 2D Topological Phases

. We also consider the effect of a finite reflection amplitude in the point contact, which leads to nonlinear-in-gate-voltage corrections to the charge and current response.