Electron waiting times for the mesoscopic capacitor

Hofer, Patrick P.; Dasenbrook, David; Flindt, Christian

doi:10.1016/j.physe.2015.08.034

Cited by 22 publications

(25 citation statements)

References 60 publications

(102 reference statements)

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“…This is not a serious limitation, since the latter energy range is independent of the cavity size, whereas the typical energy scalesh/τ c andh/τ f for the capacitor's response go to zero in the limit of a large cavity size. Given the microscopic nature of our approach, we describe the propagation of charge pulses within the cavity edge, a study which is complementary to that of electron waiting times of the cavity [78][79][80]. Moreover, our approach avoids the mean-field approximation underlying scattering theory approaches [4][5][6]9,11,55,57,59,81], and shows how interactions trigger remarkable and novel coherence effects.…”

Section: Deg Cavitymentioning

confidence: 99%

Interacting mesoscopic capacitor out of equilibrium

2017

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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 V g (t) is strictly linear in V g . 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 τ c = hC g /e 2 and the time of flight τ f . 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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Section: Deg Cavitymentioning

confidence: 99%

Interacting mesoscopic capacitor out of equilibrium

2017

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“…The waiting time distributions (WTDs) provide information about the internal dynamics of a mesoscopic system which is useful for systems with localized states [31][32][33][34] . Theories of WTDs for mesoscopic conductors have recently been developed [35][36][37] and used to investigate the regularity of dynamic single-electron emitters [38][39][40][41][42][43][44] . Experimentally, it is possible to detect single Andreev processes at normal-metal-superconductor interfaces 45,46 .…”

Section: Electron Waiting Times In Hybrid Junctions With Topological mentioning

confidence: 99%

Electron waiting times in hybrid junctions with topological superconductors

Burset

Flindt

2018

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We investigate the waiting time distributions (WTDs) of superconducting hybrid junctions, considering both conventional and topologically nontrivial superconductors hosting Majorana bound states at their edges. To this end, we employ a scattering matrix formalism that allows us to evaluate the waiting times between the transmissions and reflections of electrons or holes. Specifically, we analyze normal-metal–superconductor (NIS) junctions and NISIN junctions, where Cooper pairs are spatially split into different leads. The distribution of waiting times is sensitive to the simultaneous reflection of electrons and holes, which is enhanced by the zero-energy state in topological superconductors. For the NISIN junctions, the WTDs of trivial superconductors feature a sharp dependence on the applied voltage, while for topological ones they are mostly independent of it. This particular voltage dependence is again connected to the presence of topological edge states, showing that WTDs are a promising tool for identifying topological superconductivity.

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“…In this case, the calculation of the WTD is complicated by the fact that the idle-time probability depends not only on the length τ of the time interval [t 0 ,t 0 + τ ] but also on the initial time t 0 [29,44,45]. The idle-time probability is then a two-time quantity that we denote (τ,t 0 ).…”

Section: Electron Waiting Timesmentioning

confidence: 99%

“…A series of works have focused on WTDs of electron transport through single or double quantum dots [25,27,[33][34][35][36][37][38][39][40]. Another line of research has been devoted to WTDs of mesoscopic conductors [28,41], including the influence of time-dependent perturbations [29,[42][43][44][45]. Distributions of waiting times have also been investigated for superconducting systems [46,47], for instance, in relation to Josephson junctions [48,49] and the detection of Majorana fermions [50].…”

Section: Introductionmentioning

confidence: 99%

Electron waiting times of a periodically driven single-electron turnstile

Potaņina

Flindt

2017

Phys. Rev. B

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We investigate the distribution of waiting times between electrons emitted from a periodically driven single-electron turnstile. To this end, we develop a scheme for analytic calculations of the waiting time distributions for arbitrary periodic driving protocols. We illustrate the general framework by considering a driven tunnel junction before moving on to the more involved single-electron turnstile. The waiting time distributions are evaluated at low temperatures for square-wave and harmonic driving protocols. In the adiabatic regime, the dynamics of the turnstile is synchronized with the external drive. As the non-adiabatic regime is approached, the waiting time distribution becomes dominated by cycle-missing events in which the turnstile fails to emit within one or several periods. We also discuss the influence of finite electronic temperatures. The waiting time distributions provide a useful characterization of the driven single-electron turnstile with complementary information compared to what can be learned from conventional current measurements.

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Electron waiting times for the mesoscopic capacitor

Cited by 22 publications

References 60 publications

Interacting mesoscopic capacitor out of equilibrium

Interacting mesoscopic capacitor out of equilibrium

Electron waiting times in hybrid junctions with topological superconductors

Electron waiting times of a periodically driven single-electron turnstile

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