Nonequilibrium noise in transport across a tunneling contact between<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>ν</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mn>2</mml:mn><mml:mn>3</mml:mn></mml:mfrac></mml:mrow></mml:math>fractional quantum Hall edges

Shtanko, Oles; Snizhko, Kyrylo; Cheianov, Vadim

doi:10.1103/physrevb.89.125104

Cited by 16 publications

(32 citation statements)

References 26 publications

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“…Additionally, there has been increased experimental activity in the study of heat transport in the FQH regime [30,31,32,33], which is of interest for the study of neutral modes [34,35,36], and may prove a useful tool for characterizing the topological order in edge structures of various filling factors: for the ν bulk = 5/2 state, see Ref. [28,29].…”

Section: Introductionmentioning

confidence: 99%

Incoherent transport on the ν=2/3 quantum Hall edge

et al. 2018

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The nature of edge state transport in quantum Hall systems has been studied intensely ever since Halperin [1] noted its importance for the quantization of the Hall conductance. Since then, there have been many developments in the study of edge states in the quantum Hall effect, including the prediction of multiple counterpropagating modes in the fractional quantum Hall regime, the prediction of edge mode renormalization due to disorder, and studies of how the sample confining potential affects the edge state structure (edge reconstruction), among others. In this paper, we study edge transport for the ν bulk = 2/3 edge in the disordered, fully incoherent transport regime. To do so, we use a hydrodynamic approximation for the calculation of voltage and temperature profiles along the edge of the sample. Within this formalism, we study two different bare mode structures with tunneling: the original edge structure predicted by Wen [2] and MacDonald [3], and the more complicated edge structure proposed by Meir [4], whose renormalization and transport characteristics were discussed by Wang, Meir and Gefen (WMG) [5]. We find that in the fully incoherent regime, the topological characteristics of transport (quantized electrical and heat conductance) are intact, with finite size corrections which are determined by the extent of equilibration. In particular, our calculation of conductance for the WMG model in a double QPC geometry reproduce conductance results of a recent experiment by Sabo et al. [21], which are inconsistent with the model of MacDonald. Our results can be explained in the charge/neutral mode picture, with incoherent analogues of the renormalization fixed points of Ref. [5]. Additionally, we find diffusive (∼ 1/L) conductivity corrections to the heat conductance in the fully incoherent regime for both models of the edge.

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Section: Introductionmentioning

confidence: 99%

Incoherent transport on the ν=2/3 quantum Hall edge

et al. 2018

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“…Therefore, the most generally applicable approach is to treat the tunneling Hamiltonian (8) as a small perturbation. Then in the lowest non-trivial order of perturbation theory one obtains the following results [15,28] where T 0 is the equilibrium system temperature, I s is the current injected into Source S, λ = λ(I n ) is related to the upper edge heating due to injection of current I n (the upper edge temperature at near the QPC is T = λT 0 ), e is the elementary charge, h = 2π is the Planck constant, k B is the Boltzmann constant, ν is the filling factor,…”

Section: Tunneling Experiments In the Fqhe: The Modelmentioning

confidence: 91%

“…I remind the reader that Q i are the electric charges of the quasiparticles and δ is their common scaling dimension. The formulas (13), (15), (16) are correct for δ < 1/2, for δ ≥ 1/2 they should be modified. However, typically the quasiparticles contributing to the tunneling processes are predicted to have δ < 1/2.…”

Section: Tunneling Experiments In the Fqhe: The Modelmentioning

confidence: 99%

Tunneling current noise in the fractional quantum Hall effect: When the effective charge is not what it appears to be

Snizhko

2016

Low Temperature Physics

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Fractional quantum Hall quasiparticles are famous for having fractional electric charge. Recent experiments report that the quasiparticles' effective electric charge determined through tunneling current noise measurements can depend on the system parameters such as temperature or bias voltage. Several works proposed to understand this as a signature for edge theory properties changing with energy scale. I consider two of such experiments and show that in one of them the apparent dependence of the electric charge on a system parameter is likely to be an artefact of experimental data analysis. Conversely, in the second experiment the dependence cannot be explained in such a way.

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“…The source current is related to the voltage V 0 applied across the Hall bar by the Hall conductance, I s = The excess shot noise as a function of I n when I s = ω 0 = 0 is shown in Fig 2, overlaid with (27), our theory predicts the scaling ∆S tun ∝ |ω 1 | 4/3 ∝ |I n | 2/3 , which is plotted with only an overall scaling factor for each t. We have taken T = 0 for simplicity. The theoretical model fits the experimental data well at all transmission probabilities.…”

Section: Comparison To Experiments At ν = 2/3mentioning

confidence: 99%

Unexpected tunneling current from downstream neutral modes

Cano

Nayak

2014

Phys. Rev. B

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We analyze transport through a quantum point contact in fractional quantum Hall states with counterpropagating neutral edge modes. We show that both the noise (as expected and previously calculated by other authors) and (perhaps surprisingly) the average transmitted current are affected by downstream perturbations within the standard edge state model. We consider two different scenarios for downstream perturbations. We argue that the change in transmitted current should be observable in experiments that have observed increased noise.

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Nonequilibrium noise in transport across a tunneling contact betweenν=23fractional quantum Hall edges

Cited by 16 publications

References 26 publications

Incoherent transport on the ν=2/3 quantum Hall edge

Incoherent transport on the ν=2/3 quantum Hall edge

Tunneling current noise in the fractional quantum Hall effect: When the effective charge is not what it appears to be

Unexpected tunneling current from downstream neutral modes

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