Delayed currents and interaction effects in mesoscopic capacitors

Zohar Ringel, Y. Imry, and O. Entin-Wohlman
Phys. Rev. B 78, 165304 – Published 6 October 2008

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.

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  • Received 31 July 2008

DOI:https://doi.org/10.1103/PhysRevB.78.165304

©2008 American Physical Society

Authors & Affiliations

Zohar Ringel* and Y. Imry

  • Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel

O. Entin-Wohlman

  • Department of Physics, Ben Gurion University, Beer Sheva 84105, Israel and Albert Einstein Minerva Center for Theoretical Physics, Weizmann Institute of Science, Rehovot 76100, Israel

  • *zohar.ringel@weizmann.ac.il
  • School of Physics and Astronomy, Beverly and Raymond Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel.

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Issue

Vol. 78, Iss. 16 — 15 October 2008

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