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Interacting mesoscopic capacitor out of equilibrium

Litinski, Daniel
Brouwer, Piet W.
Published in Physical Review. B, Condensed Matter. 2017, vol. 96, no. 8, p. 085429
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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Research group Groupe Giamarchi
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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. https://archive-ouverte.unige.ch/unige:101044

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Deposited on : 2018-01-02

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