Delayed currents and interaction effects in mesoscopic capacitors

Zohar Ringel*, Y. Imry, O. Entin-Wohlman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

39 Scopus citations

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.

Original languageAmerican English
Article number165304
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume78
Issue number16
DOIs
StatePublished - 6 Oct 2008
Externally publishedYes

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