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 (2)

• Quantum to Classical Transition of the Charge Relaxation Resistance of a Mesoscopic Capacitor
• Mesoscopic Capacitance Oscillations

Cited by in corpus (2)

• Shot noise of a mesoscopic two-particle collider
• Charge transport through weakly open one dimensional quantum wires