Current correlations of an on-demand single-electron emitter

Mahé, Adrien; Parmentier, François; Bocquillon, Erwann; Berroir, Jean-Marc; Glattli, Christian; Kontos, Takis; Plaçais, Bernard; Fève, Gwendal; Cavanna, A.; Jin, Yong

doi:10.1103/physrevb.82.201309

Cited by 127 publications

(219 citation statements)

References 28 publications

(27 reference statements)

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“…reaching the minimum zero value at δt = 0) for all three transparencies. Our results show excellent agreement, without any fitting parameters, especially in the low transparency regime where true single electron emission is achieved [21,16]. The small oscillations present in the Floquet results are typically associated with the ramping up time of the applied square voltage, and are therefore not present in our model of injection.…”

Section: Symmetric Electron-electron Collisionssupporting

confidence: 63%

Electron interferometry in integer quantum Hall edge channels

Rech¹,

Wahl²,

Jonckheere³

et al. 2016

J. Stat. Mech.

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Abstract.We consider the electronic analog of the Hong-Ou-Mandel interferometer from quantum optics. In this realistic condensed matter device, single electrons are injected and travel along opposite chiral edge states of the integer quantum Hall effect, colliding at a quantum point contact (QPC). We monitor the fate of the colliding excitations by calculating zero-frequency current correlations at the output of the QPC. In the simpler case of filling factor ν = 1, we recover the standard result of a dip in the current noise as a function of the time delay between electron injections. For simultaneous injection, the current correlations exactly vanish, as dictated by the Pauli principle. This picture is however dramatically modified when interactions are present, as we show in the case of a filling factor ν = 2. There, each edge state is made out of two co-propagating channels, leading to charge fractionalization, and ultimately to decoherence. The latter phenomenon reduces the degree of indistinguishability between the two electron wavepackets, yielding a reduced contrast in the HOM signal. This naturally brings about the question of stronger interaction, offering a natural extension of the present work to the case of fractional quantum Hall effect where many open and fascinating questions remain.

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Section: Symmetric Electron-electron Collisionssupporting

confidence: 63%

Electron interferometry in integer quantum Hall edge channels

Rech¹,

Wahl²,

Jonckheere³

et al. 2016

J. Stat. Mech.

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“…2 In the quantized emission regime the excess noise reaches its minimal value (referred to as the phase noise), which is due to the quantum uncertainty in the emission time.…”

Section: Discussionmentioning

confidence: 99%

“…To shed light onto the nature of this fundamental noise limit, the semiclassical model of a singleelectron emitter, consisting in a particle periodically attempting to leave the cavity was put forward. 2,33,34 This model, shows clearly that the uncertainty in the emission time puts the lower limit to the excess finitefrequency noise. This limiting noise is referred to as the phase noise.…”

Section: Fig 1: (Color Online)mentioning

confidence: 99%

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Noise of a single-electron emitter

Moskalets

2013

Phys. Rev. B

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I analyze the correlation function of currents generated by the periodically driven quantum capacitor emitting single electrons and holes into the chiral waveguide. I compare adiabatic and non-adiabatic, transient working regimes of a single-electron emitter and find the striking difference between the correlation functions in two regimes. Quite generally for the system driven with frequency Ω the correlation function depends on two frequencies, ω and Ω − ω, where is an integer. For the emitter driven non-adiabatically the correlation functions for different are similar and almost symmetric in ω. While in the case of adiabatic drive the correlation functions for = 0 are highly asymmetric in ω and exceed significantly the one corresponding to = 0. Under optimal operating conditions the correlation function for odd is zero.

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“…This very promising field relies on the possibility of injecting single electrons and holes into one-dimensional (1D) systems. On-demand single electron sources can be experimentally realized by means of driven mesoscopic capacitors [20][21][22][23] or properly designed Lorentzian voltage pulses [24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Time-resolved energy dynamics after single electron injection into an interacting helical liquid

et al. 2016

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The possibility of injecting a single electron into ballistic conductors is at the basis of the new field of electron quantum optics. Here, we consider a single electron injection into the helical edge channels of a topological insulator. Their counterpropagating nature and the unavoidable presence of electron-electron interactions dramatically affect the time evolution of the single wave packet. Modeling the injection process from a mesoscopic capacitor in the presence of nonlocal tunneling, we focus on the time-resolved charge and energy packet dynamics. Both quantities split up into counterpropagating contributions whose profiles are strongly affected by the interaction strength. In addition, stronger signatures are found for the injected energy, which is also affected by the finite width of the tunneling region, in contrast to what happens for the charge. Indeed, the energy flow can be controlled by tuning the injection parameters, and we demonstrate that, in the presence of nonlocal tunneling, it is possible to achieve a situation in which charge and energy flow in opposite directions.

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Current correlations of an on-demand single-electron emitter

Cited by 127 publications

References 28 publications

Electron interferometry in integer quantum Hall edge channels

Electron interferometry in integer quantum Hall edge channels

Noise of a single-electron emitter

Time-resolved energy dynamics after single electron injection into an interacting helical liquid

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