Minimal excitation states for heat transport in driven quantum Hall systems

Vannucci, Luca; Ronetti, Flavio; Rech, Jérôme; Ferraro, Dario; Jonckheere, Thibaut; Martin, Thierry; Sassetti, Maura

doi:10.1103/physrevb.95.245415

Cited by 41 publications

(47 citation statements)

References 83 publications

(136 reference statements)

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“…when V R (t) = V Lor (t) and V L (t) = 0. The expressions for S vac C and S R C are well-known and have been derived in previous paper [3,39,90]. The expression for S R Q can be obtained from our results in Sec.…”

Section: Resultsmentioning

confidence: 75%

Hong-Ou-Mandel heat noise in the quantum Hall regime

et al. 2019

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We investigate heat current fluctuations induced by a periodic train of Lorentzian-shaped pulses, carrying an integer number of electronic charges, in a Hong-Ou-Mandel interferometer implemented in a quantum Hall bar in the Laughlin sequence. We demonstrate that the noise in this collisional experiment cannot be reproduced in a setup with a single drive, in contrast to what is observed in the charge noise case. Nevertheless, the simultaneous collision of two identical levitons always leads to a total suppression even for the Hong-Ou-Mandel heat noise at all filling factors, despite the presence of emergent anyonic quasi-particle excitations in the fractional regime. Interestingly, the strong correlations characterizing the fractional phase are responsible for a remarkable oscillating pattern in the HOM heat noise, which is completely absent in the integer case. These oscillations can be related to the recently predicted crystallization of levitons in the fractional quantum Hall regime.

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Section: Resultsmentioning

confidence: 75%

Hong-Ou-Mandel heat noise in the quantum Hall regime

et al. 2019

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“…Among the most relevant EQO experiments, a prominent position is held by the Hanbury-Brown-Twiss (HBT) configuration, where a single source excites singleelectron states along ballistic edge channels, which are partitioned against a beamsplitter, i.e. a quantum point contact (QPC), thus generating a shot noise signal employed to probe the single-electron nature of Levitons [11,21,[30][31][32][33][34][35][36]. Another remarkable experimental configuration of EQO is provided by the Hong-Ou-Mandel (HOM) interferometer [37], where two sources of single electrons are placed on the opposite side of a scatterer, say the QPC and delayed by a tunable time [6,13,17,35,38,39].…”

Section: Introductionmentioning

confidence: 99%

Levitons in helical liquids with Rashba spin-orbit coupling probed by a superconducting contact

Ronetti

Carrega

Sassetti

2020

Phys. Rev. Research

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We consider transport properties of a single edge of a two-dimensional topological insulators, in presence of Rashba spin-orbit coupling, driven by two external time-dependent voltages and connected to a thin superconductor. We focus on the case of a train of Lorentzian-shaped pulses, which are known to generate coherent single-electron excitations in two-dimensional electron gas, and prove that they are minimal excitations for charge transport also in helical edge states, even in the presence of spin-orbit interaction. Importantly, these properties of Lorentzian-shaped pulses can be tested computing charge noise generated by the scattering of particles at the thin superconductor. This represents a novel setup where electron quantum optics experiments with helical states can be implemented, with the superconducting contact as an effective beamsplitter. By elaborating on this configuration, we also evaluate charge noise in a collisional Hong-Ou-Mandel configuration, showing that, due to the peculiar effects induced by Rashba interaction, a non-vanishing dip at zero delay appears.

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“…Time-dependent voltage pulses [21,49] can be exploited to inject single or multiple electrons in a quantum conductor [50][51][52][53][54][55][56][57][58][59][60][61][62]. However, the underlying presence of a Fermi sea may result in the excitation of electron-hole pairs, producing noisy and unwanted signals [21,49].…”

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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Minimal excitation states for heat transport in driven quantum Hall systems

Cited by 41 publications

References 83 publications

Hong-Ou-Mandel heat noise in the quantum Hall regime

Hong-Ou-Mandel heat noise in the quantum Hall regime

Levitons in helical liquids with Rashba spin-orbit coupling probed by a superconducting contact

Spectral properties of interacting helical channels driven by Lorentzian pulses

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