Observation of ballistic upstream modes at fractional quantum Hall edges of graphene

Kumar, Ravi; Srivastav, Saurabh Kumar; Spånslätt, Christian; Watanabe, K.; Taniguchi, T.; Gefen, Yuval; Mirlin, Alexander D.; Das, Anindya

doi:10.48550/arxiv.2107.12616

Cited by 2 publications

(4 citation statements)

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“…Such non-equilibrium will, however, lead to a nonquantized Hall conductance for charged counterpropagating modes [42,43]. The equilibration properties of counterpropagating neutral modes can be investigated by measuring the excess noise of a single edge (with no tunneling at a QPC) [55,56,71,73,74,78,79].…”

Section: Discussionmentioning

confidence: 99%

“…Considering temperature dependence instead of the voltage dependence is a new promising direction. On one hand, recent experiments developed a way of changing the edge temperature in a quick and electrically controllable manner [50][51][52][53][54][55][56]. On the other hand, a number of theoretical works considered the QPC physics when the two edges are at different temperatures [57][58][59][60].…”

Section: Introductionmentioning

confidence: 99%

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Extracting the scaling dimension of quantum Hall quasiparticles from current correlations

2022

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Fractional quantum Hall quasiparticles are generally characterized by two quantum numbers: electric charge Q and scaling dimension ∆. For the simplest states (such as the Laughlin series) the scaling dimension determines the quasiparticle's anyonic statistics (the statistical phase θ = 2π∆). For more complicated states (featuring counterpropagating modes or non-Abelian statistics) knowing the scaling dimension is not enough to extract the quasiparticle statistics. Nevertheless, even in those cases knowing the scaling dimension facilitates distinguishing different candidate theories for describing the quantum Hall state at a particular filling (such as PH-Pfaffian and anti-Pfaffian at ν = 5/2). Here we propose a scheme for extracting the scaling dimension of quantum Hall quasiparticles from thermal tunneling noise produced at a quantum point contact. Our scheme makes only minimal assumptions about the edge structure and features the level of robustness, simplicity, and model independence comparable to extracting the quasiparticle charge from tunneling shot noise.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Extracting the scaling dimension of quantum Hall quasiparticles from current correlations

2022

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show abstract

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Extracting the scaling dimension of quantum Hall quasiparticles from current correlations

Schiller,

Oreg,

Snizhko

2021

Preprint

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Fractional quantum Hall quasiparticles are generally characterized by two quantum numbers: electric charge Q and scaling dimension ∆. For the simplest states (such as the Laughlin series) the scaling dimension determines the quasiparticle's anyonic statistics (the statistical phase θ = 2π∆). For more complicated states (featuring counterpropagating modes or non-Abelian statistics) knowing the scaling dimension is not enough to extract the quasiparticle statistics. Nevertheless, even in those cases knowing the scaling dimension facilitates distinguishing different candidate theories for describing the quantum Hall state at a particular filling (such as PH-Pfaffian and anti-Pfaffian at ν = 5/2). Here we propose a scheme for extracting the scaling dimension of quantum Hall quasiparticles from thermal tunneling noise produced at a quantum point contact. Our scheme features the level of robustness and simplicity comparable to extracting the quasiparticle charge from tunneling shot noise.

show abstract

Observation of ballistic upstream modes at fractional quantum Hall edges of graphene

Cited by 2 publications

References 46 publications

Extracting the scaling dimension of quantum Hall quasiparticles from current correlations

Extracting the scaling dimension of quantum Hall quasiparticles from current correlations

Extracting the scaling dimension of quantum Hall quasiparticles from current correlations

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