Multiple quasiparticle Hall spectroscopy investigated with a resonant detector

Ferraro, Dario; Carrega, Matteo; Braggio, Alessandro; Sassetti, Maura

doi:10.1088/1367-2630/16/4/043018

Cited by 31 publications

(39 citation statements)

References 75 publications

(281 reference statements)

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“…Starting from the lowest temperature case (T = 0.1 mK, black curves) we observe that both models show a flat behaviour at ω 0 /ω ≈ 0, which is a clear signature of the lack of contribution of ground states fluctuations in the considered measurement scheme [36]. The little deviation from zero are associated to the mismatch between the systems and detector temperature which can be always cancelled when T = T c [38]. Steep jumps associated to the 2-agglomerate contribution appear at |ω 0 |/ω = 1/2 showing an identical profile in both models, which reflects the same scaling dimension of the two model for that excitation (see (10)).…”

Section: Noise Properties In Qpc At Finite Frequencymentioning

confidence: 81%

“…The previous behaviours can be explained in a simple way in the quantum limit (k B T c ω) for the detector and the shot-noise limit (k B T ω 0 ) for the system. In this case one has the contributions of single and double excitations for the two models (l = P,AP) [38] S meas (ω 0 ) ≈ α 1 Γ…”

Section: Resultsmentioning

confidence: 99%

“…to the definition of the excess noise which further simplify the impedance matching problem at the level of the LC-QPC coupling (see Ref. [38] for details).…”

Section: Noise Properties In Qpc At Finite Frequencymentioning

confidence: 99%

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Finite frequency noise spectroscopy for fractional Hall states atν= 5/2

Braggio¹,

Carrega²,

Ferraro³

et al. 2016

J. Stat. Mech.

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We investigate the finite frequency noise of a quantum point contact at filling factor ν = 5/2 using a weakly coupled resonant LC circuit as a detector. We show how one could spectroscopically address the fractional charged excitations inspecting separately their charge and scaling dimensions. We thus compare the behaviour of the Pfaffian and the anti-Pfaffian non-Abelian edge states models in order to give possible experimental signatures to identify the appropriate model for this fractional quantum Hall states. Finally we investigate how the temperature of the LC resonant circuit can be used in order to enhance the sensibility of the measurement scheme.

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Section: Noise Properties In Qpc At Finite Frequencymentioning

confidence: 81%

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Finite frequency noise spectroscopy for fractional Hall states atν= 5/2

Braggio¹,

Carrega²,

Ferraro³

et al. 2016

J. Stat. Mech.

Self Cite

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“…We define the zero frequency noise as 56,80,[86][87][88] S =2 (−d, t), with J L2 the current operator of the inner channel on the left-moving edge [see Fig. 1(a)].…”

Section: A Single Voltage Pulsementioning

confidence: 99%

Probing interactions via nonequilibrium momentum distribution and noise in integer quantum Hall systems at ν=2

et al. 2018

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We consider the excitation of single-electron wave packets by means of a time dependent voltage applied to the ballistic edge channels of the integer quantum Hall effect at filling factor ν = 2. Due to electron-electron interactions, fractional excitations emerge along the edge. Their detailed structure is analyzed by evaluating the non-equilibrium momentum distributions associated with the different edge channels. We provide results for a generic time-dependent drive both in the stationary regime and for intermediate times, where the overlap between fractionalized wave packets carries relevant information on interaction strength. As a particular example we focus on a Lorentzian drive, which provides a clear signature of the minimal excitations known as Levitons. Here, we argue that inner-channel fractionalized excitations can be exploited to extract information about inter-channel interactions. We further confirm this idea by calculating the zero frequency noise due to the partitioning of these excitations at a quantum point contact and we propose a measurable quantity as a tool to directly probe electron-electron interactions and determine the so-called mixing angle of copropagating quantum Hall channels. arXiv:1806.03897v2 [cond-mat.mes-hall]

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“…Experimental milestones have already been obtained, with the demonstration of on-demand coherent sources [19][20][21] able to inject single electrons in quantum Hall channels [22][23][24]. Moreover, interferometric setups with one or more quantum point contacts (QPCs) [25][26][27][28][29][30][31][32][33][34][35][36] have also been investigated. Possible extensions to topological insulators, where spin momentum locking plays an important role, have been also theoretically considered [37][38][39][40][41][42][43][44][45][46] and recently realized [47,48].…”

Section: Introductionmentioning

confidence: 99%

Spectral properties of interacting helical channels driven by Lorentzian pulses

et al. 2019

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Precise shaping of coherent electron sources allows the controlled creation of wavepackets into a one dimensional (1D) quantum conductor. Periodic trains of Lorentzian pulses have been shown to induce minimal excitations without creating additional electron-hole pairs in a single non-interacting 1D electron channel. The presence of electron-electron (e-e) interactions dramatically affects the non-equilibrium dynamics of a 1D system. Here, we consider the intrinsic spectral properties of a helical liquid, with a pair of counterpropagating interacting channels, in the presence of timedependent Lorentzian voltage pulses. We show that peculiar asymmetries in the behavior of the spectral function are induced by interactions, depending on the sign of the injected charges. Moreover, we discuss the robustness of the concept of minimal excitations in the presence of interactions, where the link with excess noise is no more straightforward. Finally, we propose a scanning tunneling microscope setup to spectroscopically access and probe the non-equilibrium behavior induced by the voltage drive and e-e interactions. This allows a diagnosis of fractional charges in a correlated quantum spin Hall liquid in the presence of time-dependent drives.

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Multiple quasiparticle Hall spectroscopy investigated with a resonant detector

Cited by 31 publications

References 75 publications

Finite frequency noise spectroscopy for fractional Hall states atν= 5/2

Finite frequency noise spectroscopy for fractional Hall states atν= 5/2

Probing interactions via nonequilibrium momentum distribution and noise in integer quantum Hall systems at ν=2

Spectral properties of interacting helical channels driven by Lorentzian pulses

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