Topological dephasing in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>ν</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>/</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:math>fractional quantum Hall regime

Park, Jin‐Hong; Gefen, Yuval; Sim, Hyun Sub

doi:10.1103/physrevb.92.245437

Cited by 17 publications

(13 citation statements)

References 67 publications

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“…[40]. We mention that a sharp confining potential may also be beneficial for measuring interference at the ν = 1/3 state by preventing edge reconstruction and the proliferation of neutral edge modes [20,47,48] which may cause dephasing [49,50]; neutral modes have been detected at ν = 1/3 and numerous other fractional quantum Hall states in standard GaAs structures without screening wells [51].…”

Section: Fractional Quantum Hall Regimementioning

confidence: 97%

Aharonov–Bohm interference of fractional quantum Hall edge modes

et al. 2019

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We demonstrate operation of a small Fabry-Perot interferometer in which highly coherent Aharonov-Bohm oscillations are observed in the integer and fractional quantum Hall regimes. Using a novel heterostructure design, Coulomb effects are drastically suppressed. Coherency of edge mode interference is characterized by the energy scale for thermal damping, T0 = 206mK at ν = 1. Selective backscattering of edge modes originating in the N = 0, 1, 2 Landau levels allows for independent determination of inner and outer edge mode velocities. Clear Aharonov-Bohm oscillations are observed at fractional filling factors ν = 2/3 and ν = 1/3. Our device architecture provides a platform for measurement of anyonic braiding statistics. arXiv:1901.08452v1 [cond-mat.mes-hall]

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Section: Fractional Quantum Hall Regimementioning

confidence: 97%

Aharonov–Bohm interference of fractional quantum Hall edge modes

et al. 2019

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“…Additionally, neutral modes have attracted a lot of interest because they carry energy and a quantum number without carrying charge. Moreover, they may drastically suppress anyonic interference [15,16], and are stable in the presence of a noisy environment, with the environment acting to renormalize the edge state tunneling exponents [17,18]. Yet despite the experimental success of Ref.…”

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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“…It follows from Eqs. (48) and (49) that in the case of diffusive heat transport in the outer arms, the effective Fano factor (as defined by Eq. (3)) is super-Poissonian Fano factors, F 1.…”

Section: Outer Arms Line Junctionsmentioning

confidence: 99%

“…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%

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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Topological dephasing in theν=2/3fractional quantum Hall regime

Cited by 17 publications

References 67 publications

Aharonov–Bohm interference of fractional quantum Hall edge modes

Aharonov–Bohm interference of fractional quantum Hall edge modes

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

Conductance plateaus and shot noise in fractional quantum Hall point contacts

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