Poissonian tunneling through an extended impurity in the quantum Hall effect

Chevallier, Denis; Rech, Jérôme; Jonckheere, Thibaut; Wahl, Claire; Martin, Thierry

doi:10.1103/physrevb.82.155318

Cited by 24 publications

(32 citation statements)

References 21 publications

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“…The probe is subject to a bias voltage V measured with respect to the Fermi level of the system. We assume a local tunneling at x 0 which breaks inversion parity, focusing, e.g., on the injection in the system R−channel only [49,[60][61][62],…”

Section: Transient Dynamics Of Transport Propertiesmentioning

confidence: 99%

Quench-induced entanglement and relaxation dynamics in Luttinger liquids

et al. 2017

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We investigate the time evolution towards the asymptotic steady state of a one dimensional interacting system after a quantum quench. We show that at finite times the latter induces entanglement between right-and left-moving density excitations, encoded in their cross-correlators, which vanishes in the long-time limit. This behavior results in a universal time-decay ∝ t −2 of the system spectral properties, in addition to non-universal power-law contributions typical of Luttinger liquids. Importantly, we argue that the presence of quench-induced entanglement clearly emerges in transport properties, such as charge and energy currents injected in the system from a biased probe, and determines their long-time dynamics. In particular, the energy fractionalization phenomenon turns out to be a promising platform to observe the universal power-law decay ∝ t −2 induced by entanglement and represents a novel way to study the corresponding relaxation mechanism.

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Section: Transient Dynamics Of Transport Propertiesmentioning

confidence: 99%

Quench-induced entanglement and relaxation dynamics in Luttinger liquids

et al. 2017

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“…The tunneling region is characterized by the envelope function w(y), whose precise shape will be specified later [65][66][67].…”

Section: Setup and General Modelmentioning

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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“…In this light, we expect this to hold true for general energy-dependent phenomena occurring at the QPC. For instance, any similarity between charge noises generated in the two setups discussed previously would disappear for more complicated tunneling geometry, such as multiple QPC or extended contacts, where transmission functions become energy-dependent [105][106][107][108].…”

Section: B Heat Noisementioning

confidence: 99%

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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Poissonian tunneling through an extended impurity in the quantum Hall effect

Cited by 24 publications

References 21 publications

Quench-induced entanglement and relaxation dynamics in Luttinger liquids

Quench-induced entanglement and relaxation dynamics in Luttinger liquids

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

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

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