Edge reconstruction in fractional quantum Hall states

Sabo, Ron; Gurman, Itamar; Rosenblatt, Amir; Lafont, F.; Banitt, Daniel; Park, Jin‐Hong; Heiblum, Moty; Gefen, Yuval; Umansky, V.; Mahalu, D.

doi:10.1038/nphys4010

Cited by 76 publications

(94 citation statements)

References 26 publications

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“…ii) We show that the experimental results for double-QPC geometries [47] also can be accounted for by our model (Sec. III C).…”

Section: Introductionmentioning

confidence: 65%

“…2 of Ref. 47, yellow curves in all panels correspond to this situation. Let us first take the bulk filling factor to be ν B = 2/3 as in Fig Fig.…”

Section: Conductance Plateaus In Double Qpcmentioning

confidence: 82%

“…We now consider some examples, which allow us to compare with the experiment of Ref. 47. Let us assume that each of the two QPCs separately is at the G = (1/3)e 2 /h plateau, i.e., ν QPC = 1/3.…”

Section: Conductance Plateaus In Double Qpcmentioning

confidence: 99%

“…At this fixed point, the presence of the G = (1/3)e 2 /h plateau is accounted for by assuming that in certain ranges of the gate voltage controlling the QPC, the outermost charged channel is transmitted through the QPC while the inner charged one is reflected. The noise on this plateau is further attributed to the generation of quasiparticle-quasihole pairs created by the equilibration-induced decay of the neutral modes [47].…”

Section: Introductionmentioning

confidence: 97%

“…46. attributed the loss of interference to proliferation of neutral modes [48,49] induced by edge reconstruction due to a soft edge confinement potential [17,18,47].…”

Section: Introductionmentioning

confidence: 99%

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Conductance plateaus and shot noise in fractional quantum Hall point contacts

et al. 2020

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Quantum point contact devices are indispensable tools for probing the edge structure of the fractional quantum Hall (FQH) states. Recent observations of quantized conductance plateaus accompanied by shot noise in such devices, as well as suppression of Mach-Zehnder interference, call for theoretical explanations. In this paper, we develop a theory of FQH edge state transport through quantum point contacts, which allows for a generic Abelian edge structure and assumes strong equilibration between edge modes (incoherent transport regime). We find that conductance plateaus are found whenever the quantum point contact locally depletes the Hall bar to a stable region with a filling factor lower than that of the bulk and the resulting edge states equilibrate. The shot noise generated on these plateaus can be classified according to 13 possible combinations of edge charge and heat transport in the device. We also comment on a relation between the the emergence of quantized plateaus and the suppression of Mach-Zehnder interference. Besides explaining recent experimental findings, our results provide novel insights and perspectives on quantum point contact devices in the FQH regime. :1911.11821v1 [cond-mat.mes-hall] arXiv

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“…ii) We show that the experimental results for double-QPC geometries [47] also can be accounted for by our model (Sec. III C).…”

Section: Introductionmentioning

confidence: 65%

“…2 of Ref. 47, yellow curves in all panels correspond to this situation. Let us first take the bulk filling factor to be ν B = 2/3 as in Fig Fig.…”

Section: Conductance Plateaus In Double Qpcmentioning

confidence: 82%

Section: Conductance Plateaus In Double Qpcmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

“…46. attributed the loss of interference to proliferation of neutral modes [48,49] induced by edge reconstruction due to a soft edge confinement potential [17,18,47].…”

Section: Introductionmentioning

confidence: 99%

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Conductance plateaus and shot noise in fractional quantum Hall point contacts

et al. 2020

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Nonequilibrium Charge Dynamics of Tomonaga–Luttinger Liquids in Quantum Hall Edge Channels

Fujisawa

2022

Annalen der Physik

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Tomonaga-Luttinger liquids exhibit unique features that cannot be seen in ordinary Fermi liquids. Recent advancement in measurement techniques on 1D quantum Hall edge channels allows to reveal unique characteristics, such as spin-charge separation and nonthermal metastable states. In this review, an overview of nonequilibrium dynamics in quantum-Hall Tomonaga-Luttinger liquids is presented. After the introduction of a circuit model for collective excitations (bosons) in the system, transport eigenmodes in interaction-and disorder-dominated regimes are discussed with time-resolved charge measurements for the integer and fractional quantum Hall systems. Moreover, nonthermal steady states associated with the integrable model are studied with energy distribution functions obtained with a quantum dot spectrometer. These nontrivial dynamics can be extended to other 1D systems, including 2D topological insulators.

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Two Subbands Quantum Hall System as a Platform for Edge Mode Manipulations

Cohen

2018

A New Platform for Edge Mode Manipulations in the Quantum Hall Effect

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Edge reconstruction in fractional quantum Hall states

Cited by 76 publications

References 26 publications

Conductance plateaus and shot noise in fractional quantum Hall point contacts

Conductance plateaus and shot noise in fractional quantum Hall point contacts

Nonequilibrium Charge Dynamics of Tomonaga–Luttinger Liquids in Quantum Hall Edge Channels

Two Subbands Quantum Hall System as a Platform for Edge Mode Manipulations

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