Delayed currents and interaction effects in mesoscopic capacitors

Abstract

We propose an alternative derivation for the dynamic admittance of a gated quantum dot connected by a single-channel lead to an electron reservoir. Our derivation, which reproduces the result of Prêtre, Thomas, and Büttiker for the universal charge-relaxation resistance, shows that at low frequencies, the current leaving the dot lags after the entering one by the Wigner-Smith delay time. We compute the capacitance when interactions are taken into account only on the dot within the Hartree-Fock approximation and study the Coulomb-blockade oscillations as a function of the Fermi energy in the reservoir. In particular we find that those oscillations disappear when the dot is fully `open', thus we reconcile apparently conflicting previous results.

9 pages, 8 figures

References in corpus (9)

• Violation of Kirchhoff's Laws for a Coherent RC Circuit
• Coulomb blockade at almost perfect transmission
• Voltage-probe and imaginary potential models for dephasing in a chaotic quantum dot
• Mesoscopic Charge Relaxation
• Scattering phases in quantum dots: an analysis based on lattice models
• Charge-Relaxation and Dwell Time in the fluctuating Admittance of a Chaotic Cavity
• Quantum to Classical Transition of the Charge Relaxation Resistance of a Mesoscopic Capacitor
• Quantum dot dephasing by edge states
• Mesoscopic Capacitance Oscillations

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• Quantum Dynamics of the Driven and Dissipative Rabi Model
• Many-body Correlation Effect on Mesoscopic Charge Relaxation
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• Fermi liquid approach to the quantum RC circuit: renormalization-group analysis of the Anderson and Coulomb blockade models
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• Strongly correlated dynamics in multichannel quantum RC circuits
• Coulomb-blockade effect in nonlinear mesoscopic capacitors
• The Interacting Mesoscopic Capacitor Out of Equilibrium
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• Noise spectra of an interacting quantum dot
• From Anderson Localization to Mesoscopic Physics
• Phase-Coherent Dynamics of Quantum Devices With Local Interactions
• Anomalous Joule law in the adiabatic dynamics of a normal-superconductor quantum dot
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• Current deformation and quantum inductance in mesoscopic capacitors
• Charge transport through weakly open one dimensional quantum wires
• Out-of-Equilibrium Admittance of Single Electron Box Under Strong Coulomb Blockade
• Charge relaxation resistance in the cotunneling regime of multi-channel Coulomb blockade: Violation of Korringa-Shiba relation
• Delay-Time and Thermopower Distributions at the Spectrum Edges of a Chaotic Scatterer
• Spin-polarized dynamic transport in tubular two-dimensional electron gases