Delayed currents and interaction effects in mesoscopic capacitors

Details Delayed currents and interaction effects in mesoscopic capacitors Delayed currents and interaction effects in mesoscopic capacitors

2008-07-17

arxiv.org/abs/0807.2717v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages, 8 figures

Scientific paper

10.1103/PhysRevB.78.165304

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\^{e}tre, Thomas, and B\"{u}ttiker 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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