Tunneling between helical edge states through extended contacts

Dolcetto, Giacomo; Barbarino, Simone; Ferraro, Dario; Magnoli, Nicodemo; Sassetti, Maura

doi:10.1103/physrevb.85.195138

Cited by 59 publications

(66 citation statements)

References 47 publications

(84 reference statements)

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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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“…We retain only contributions from transversal tunneling, for they are proven to be largely dominant. 44 In addition, we consider external potentials V T and V B that couple to the two edgeŝ…”

Section: Modelmentioning

confidence: 99%

Noise and current correlations in tunnel junctions of quantum spin Hall edge states

Dolcini

2015

Phys. Rev. B

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The edge channels of two-dimensional topological systems are protected from elastic reflection and are noiseless at low temperature. Yet, noise and cross-correlations can be induced when electron waves partly transmit to the opposite edge via tunneling through a constriction. In particular, in a quantum spin Hall (QSH) system tunnelling occurs via both spin-preserving (p) and spin-flipping (f ) processes, each fulfilling time-reversal symmetry. We investigate the current correlations of a fourterminal QSH setup in the presence of a tunneling region, both at equilibrium and out-of-equilibrium. We find that, although p and f processes do not commute and the generic current correlation depends on both, under appropriate conditions a direct detection of two types of partition noise is possible. In particular, while the spin-preserving partitioning can be probed for any arbitrary tunnel junction with a specific configuration of terminal biases, the spin-flipping partitioning can be directly detected only under suitably designed setups and conditions. We describe two setups where these conditions can be fulfilled, and both types of partitioning can be detected and controlled.

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Tunneling between helical edge states through extended contacts

Cited by 59 publications

References 47 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

Noise and current correlations in tunnel junctions of quantum spin Hall edge states

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