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Interacting mesoscopic capacitor out of equilibrium

Published inPhysical Review. B, Condensed Matter, vol. 96, no. 8, 085429
Publication date2017
Abstract

We consider the full nonequilibrium response of a mesoscopic capacitor in the large transparency limit, exactly solving a model with electron-electron interactions appropriate for a cavity in the quantum Hall regime. For a cavity coupled to the electron reservoir via an ideal point contact, we show that the response to any time-dependent gate voltage Vg(t) is strictly linear in Vg. We analyze the charge and current response to a sudden gate voltage shift and find that this response is not captured by a simple circuit analogy. In particular, in the limit of strong interactions a sudden change in the gate voltage leads to the emission of a sequence of multiple charge pulses, the width and separation of which are controlled by the charge-relaxation time τc = hCg/e2 and the time of flight τf . We also consider the effect of a finite reflection amplitude in the point contact, which leads to nonlinear-in-gate-voltage corrections to the charge and current response.

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Citation (ISO format)
LITINSKI, Daniel, BROUWER, Piet W., FILIPPONE, Michele. Interacting mesoscopic capacitor out of equilibrium. In: Physical Review. B, Condensed Matter, 2017, vol. 96, n° 8, p. 085429. doi: 10.1103/PhysRevB.96.085429
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ISSN of the journal1098-0121
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