Erratum: Tunneling in fractional quantum Hall line junctions [Phys. Rev. B<b>72</b>, 085318 (2005)]

Aranzana, Manuel Jesús Cárdenas; Regnault, Nicolas; Jolicœur, Thierry

doi:10.1103/physrevb.74.249902

Cited by 4 publications

(7 citation statements)

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“…takes vanishingly small values. This suppression is reminiscent of what has been observed in previous theoretical 13 and experimental 16 works, in the context of quantum Hall line junctions, where current suppression below a given threshold for long barriers was related to momentum conservation. In Fig.…”

Section: Application To a Separable Tunneling Amplitudesupporting

confidence: 77%

“…In Ref. 13, the authors considered a point contact over a finite region of space with Γ xy = Γ L (x)δ(x − y). In what follows, we label such contributions of Γ xy as "lateral" contributions these are indicated in red in Fig.…”

Section: Modelmentioning

confidence: 99%

“…Extensions describing arrays of scattering locations have been considered in Ref. 12,13. However, in practice, quantum point contacts (QPC) consist of electrostatic gates which are placed "high" above the two dimensional electron gas.…”

Section: Introductionmentioning

confidence: 99%

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Poissonian tunneling through an extended impurity in the quantum Hall effect

et al. 2010

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We consider transport in the Poissonian regime between edge states in the quantum Hall effect. The backscattering potential is assumed to be arbitrary, as it allows for multiple tunneling paths. We show that the Schottky relation between the backscattering current and noise can be established in full generality: the Fano factor corresponds to the electron charge (the quasiparticle charge) in the integer (fractional) quantum Hall effect, as in the case of purely local tunneling. We derive an analytical expression for the backscattering current, which can be written as that of a local tunneling current, albeit with a renormalized tunneling amplitude which depends on the voltage bias. We apply our results to a separable tunneling amplitude which can represent an extended point contact in the integer or in the fractional quantum Hall effect. We show that the differential conductance of an extended quantum point contact is suppressed by the interference between tunneling paths, and it has an anomalous dependence with respect to the bias voltage.

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Section: Application To a Separable Tunneling Amplitudesupporting

confidence: 77%

Section: Modelmentioning

confidence: 99%

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Poissonian tunneling through an extended impurity in the quantum Hall effect

et al. 2010

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“…The function f l , indicated as lateral contribution, specifies the average location of the tunneling events [28][29][30] while f c , dubbed crossed, allows to take into account non perfectly vertical events 30 . This assumption is reasonable for smooth tunneling junctions.…”

Section: Extended Contactmentioning

confidence: 99%

“…The possibility offered by the Mercury-Telluride quantum wells to realize a QPC by means of electrostatic gates or, more realistically, by etching the sample in the desired shape makes possible to have a great control on the geometry and allows to study the evolution of the transport properties as a function of the constriction geometrical parameters. An analysis of the effects of extended contacts [28][29][30][31] on the transport properties have been already addressed for the QHE showing deviations from the standard power-law behavior of the current as a function of the voltage at zero temperature. Finite temperature effects were also considered for composite fractional QH systems 29 , demonstrating that extended contacts may provide information about the neutral mode propagation velocity along the edge, provided that it is very small with respect to the one of the charged mode.…”

Section: Introductionmentioning

confidence: 99%

Tunneling between helical edge states through extended contacts

Dolcetto¹,

Barbarino²,

Ferraro³

et al. 2012

Phys. Rev. B

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We consider a quantum spin Hall system in a two-terminal setup, with an extended tunneling contact connecting upper and lower edges. We analyze the effects of this geometry on the backscattering current as a function of voltage, temperature, and strength of the electron interactions. We find that this configuration may be useful to confirm the helical nature of the edge states and to extract their propagation velocity. By comparing with the usual quantum point contact geometry, we observe that the power-law behaviors predicted for the backscattering current and the linear conductance are recovered for low enough energies, while different power-laws also emerge at higher energies.Comment: 8 pages, 6 figures, published versio

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Bound states induced giant oscillations of the conductance in the quantum Hall regime

Kadigrobov¹,

Fistul²

2016

J. Phys.: Condens. Matter

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We theoretically studied the quasiparticle transport in a 2D electron gas biased in the quantum Hall regime and in the presence of a lateral potential barrier. The lateral junction hosts the specific magnetic field dependent quasiparticle states highly localized in the transverse direction. The quantum tunnelling across the barrier provides a complex bands structure of a one-dimensional energy spectrum of these bound states, [Formula: see text], where p y is the electron momentum in the longitudinal direction y. Such a spectrum manifests itself by a large number of peaks and drops in the dependence of the magnetic edge states transmission coefficient D(E ) on the electron energy E. E.g. the high value of D occurs as soon as the electron energy E reaches gaps in the spectrum. These peaks and drops of D(E) result in giant oscillations of the transverse conductance G x with the magnetic field and/or the transport voltage. Our theoretical analysis, based on the coherent macroscopic quantum superposition of the bound states and the magnetic edge states propagating along the system boundaries, is in a good accord with the experimental observations found in Kang et al (2000 Lett. Nat. 403 59).

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Erratum: Tunneling in fractional quantum Hall line junctions [Phys. Rev. B72, 085318 (2005)]

Cited by 4 publications

References 0 publications

Poissonian tunneling through an extended impurity in the quantum Hall effect

Poissonian tunneling through an extended impurity in the quantum Hall effect

Tunneling between helical edge states through extended contacts

Bound states induced giant oscillations of the conductance in the quantum Hall regime

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