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Delayed currents and interaction effects in mesoscopic capacitors

2008/07/17 by Zohar Ringel, O. Entin-Wohlman, Y. Imry +1 · 1 citation
Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Quantum and electron transport phenomena #Semiconductor materials and devices #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.78.165304

9 pages, 8 figures

arxiv created 2008/07/17 · openalex publication_date 2008/10/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

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 Pr\etre, Thomas, and B"uttiker 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.

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