Comment on “Strongly Correlated Fractional Quantum Hall Line Junctions”

Ponomarenko, V. V.; Averin, D. V.

doi:10.1103/physrevlett.97.159701

Cited by 11 publications

(12 citation statements)

References 13 publications

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“…In addition, given the small dimension (of the order of 100 nm) of the interface between the two QH regions, coherence between tunneling centers and Coulomb interactions are likely to play a significant role in our devices. Theoretical results in this coherent regime suggest G should oscillate strongly as a function of the junction length L (whose value in our devices cannot be determined exactly, but depends on V tip ) in the range 0 G e 2 =2h [18] or 0 G e 2 =3h [19], depending on the adopted boundary conditions; no significant damping of the oscillations should be observed as long as the line junction remains coherent, which again is in contrast to what we obtained experimentally. The different observed behavior might be linked to the presence of a finite (albeit probably small, given the reduced spatial extension of the junction region of % 400 nm and the high-mobility of the 2DES) number of scattering centers with coupling strength increasing from zero up to full-coupling within the explored V tip range.…”

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confidence: 82%

“…Charge transport is characterized by an insulating behavior as shown by the marked conductance suppression at low bias: this transport fingerprint is consistent with the predicted suppression of forward tunneling stemming from correlations in the fractional edge channel [16,17]. Figure 1(b) compares the GðV tip Þ curves at V DC ¼ 0, 200, 400, and 600 V with the predicted conductance G based on two different models of the junction: hollow circles describe G for a set of N S uncorrelated strongly coupled point junctions [7] while green bars on the right side indicate the predicted range of oscillation of G for a QH line junction as a function of its length and for two different boundary conditions [18,19]. The tunable coupling of our device (controlled by V tip ) allows us to explore all values between the two extremes G ¼ 0 and G ¼ e 2 =3h.…”

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confidence: 99%

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Tuning Nonlinear Charge Transport between Integer and Fractional Quantum Hall States

et al. 2009

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confidence: 82%

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confidence: 99%

Tuning Nonlinear Charge Transport between Integer and Fractional Quantum Hall States

et al. 2009

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Section: Selected For a Viewpoint In Physics P H Y S I C A L R E V I contrasting

confidence: 89%

Quasiparticle doppelgängers

Grayson¹

2009

Physics

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Controllable point junctions between different quantum Hall phases are a necessary building block for the development of mesoscopic circuits based on fractionally charged quasiparticles. We demonstrate how particle-hole duality can be exploited to realize such point-contact junctions. We show an implementation for the case of two quantum Hall liquids at filling factors ¼ 1 and Ã 1 in which both the fractional filling Ã and the coupling strength can be finely and independently tuned. A peculiar crossover from insulating to conducting behavior as Ã goes from 1=3 to 1 is observed. These results highlight the key role played on interedge tunneling by local charge depletion at the point contact. DOI: 10.1103/PhysRevLett.103.016802 PACS numbers: 73.43.Jn, 71.10.Pm, 73.21.Hb Fractional quantum Hall (QH) states arise in highquality two-dimensional systems under the influence of quantizing magnetic fields B as a striking consequence of electron-electron interactions [1]. Depending on the fractional value of the filling factor, i.e., the ratio ¼ n=n between the density of charges n and the density of magnetic-flux quanta n ¼ eB=h, the electron system can condense into a variety of strongly correlated quantum liquids characterized by an excitation gap in the bulk and exotic fractionally charged quasiparticles [2]. Thanks to their unique properties, the latter are interesting candidates for novel mesoscopic circuits and QH-based topological qubits [3][4][5][6]. Additionally, several theoretical articles addressed Andreev-like conversion phenomena involving electrons and fractional quasiparticles at the interface between integer and fractional QH phases [7,8]: even device schemes based on these effects were proposed [9]. One crucial building block of these proposals is the point junction between two distinct QH phases. Its experimental realization, however, poses several challenging problems and for this reason the phenomena described above have been largely unexplored so far in experiments.In this Letter we exploit the concept of particle-hole duality [10,11] to realize an integer-to-fractional QH point junctions in which the fractional filling-factor value and the interaction strength can be independently tuned. Tunneling conductance measurements are reported that show an insulating behavior when we couple Ã ¼ 1=3 QH edges with integer ¼ 1 ones; on the other hand, junctions gradually develop a conducting behavior as Ã approaches 1. While the insulating behavior is in qualitative agreement with the expected correlation-induced suppression of forward tunneling for fractional edge channels, the observed evolution vs Ã highlights the peculiar role played by the local filling-factor value determined by depletion in the junction region between the and Ã regions.The design of our device is based on particle-hole duality [10,11], which is an exact symmetry of the QH system as long as only the first spin-polarized Landau level is occupied and interlevel mixing can be neglected [12]. Duality establishes the occurrence of QH phas...

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“…Multimode optical fibers (MMFs) are currently extensively revisited for communication applications, and because they provide a convenient experimental platform for the investigation of complex space-time nonlinear dynamics. Various nonlinear propagation phenomena have been theoretically predicted to occur in multimode fibers since the eighties [1][2][3][4][5], but it is not until recently that some of them were actually observed. Consider, for instance, multimode optical solitons [6] and geometric parametric instability (GPI) [7].…”

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confidence: 99%

Kerr beam self-cleaning on the LP₁₁ mode in graded-index multimode fibers

Deliancourt¹,

Fabert²,

Tonello³

et al. 2019

OSA Continuum

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We report the experimental observation of Kerr beam self-cleaning in a graded-index multimode fiber, leading to output beam profiles different from a bell shape, close to the LP01 mode. For specific coupling conditions, nonlinear coupling among the guided modes can reshape the output speckle pattern generated by a pulsed beam into the low order LP11 mode. This was observed in a few meters long multimode fiber with 750 ps pulses at 1064 nm in the normal dispersion regime. The power threshold for LP11 mode self-cleaning was about three times larger than that required for Kerr nonlinear selfcleaning into the LP01 mode.Multimode optical fibers (MMFs) are currently extensively revisited for communication applications, and because they provide a convenient experimental platform for the investigation of complex space-time nonlinear dynamics. Various nonlinear propagation phenomena have been theoretically predicted to occur in multimode fibers since the eighties [1-5], but it is not until recently that some of them were actually observed. Consider, for instance, multimode optical solitons [6] and geometric parametric instability (GPI) [7]. On the other hand, experiments on nonlinear propagation in multimode fibers have recently revealed an unexpected effect that was named Kerr beam self-cleaning. It consists in the reshaping, at high powers, of the speckled output intensity pattern into a bell-shaped beam close to the fundamental LP01 mode of a graded index (GRIN) MMF. Such nonlinear beam evolution was observed at power levels below the threshold for frequency conversion, as well as below the self-focusing threshold, with subnanosecond to femtosecond pulses propagating in the normal dispersion regime [7][8][9][10]. It is generally admitted today that Kerr self-cleaning results from a complex nonlinear coupling, or fourwave mixing (FWM) interaction among a large population of guided modes. Namely, the combination of spatial self-induced periodic imaging and Kerr nonlinearity creates a periodic longitudinal modulation of the refractive index of the fiber core. This permits quasi-phase matching and energy exchange between guided modes by means of FWM [11]. The nonlinear energy exchange between the fundamental mode and the high-order modes (HOMs) exhibits a nonreciprocal behavior, driven by self-phase modulation [8,12]. In these conditions, all the energy transferred in the fundamental mode remains definitively trapped, which explains the robust nature of the self-cleaning process. Besides that model, alternative concepts based on instability of the HOMs [10], or on modified wave turbulence theory [4] have been introduced, which could also explain the unconventional spatial dynamics observed in MMFs.In this Letter, we report the experimental demonstration of Kerr beam self-cleaning in favor of the LP11 mode of a gradient index (GRIN) MMF. This is quite unexpected, since all previous works on Kerr beam self-cleaning, based on either numerical investigations or experiments, reported self-cleaning of the output field into a smo...

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Comment on “Strongly Correlated Fractional Quantum Hall Line Junctions”

Cited by 11 publications

References 13 publications

Tuning Nonlinear Charge Transport between Integer and Fractional Quantum Hall States

Tuning Nonlinear Charge Transport between Integer and Fractional Quantum Hall States

Quasiparticle doppelgängers

Kerr beam self-cleaning on the LP₁₁ mode in graded-index multimode fibers

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Comment on “Strongly Correlated Fractional Quantum Hall Line Junctions”

Cited by 11 publications

References 13 publications

Tuning Nonlinear Charge Transport between Integer and Fractional Quantum Hall States

Tuning Nonlinear Charge Transport between Integer and Fractional Quantum Hall States

Quasiparticle doppelgängers

Kerr beam self-cleaning on the LP11 mode in graded-index multimode fibers

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Product

Resources

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Kerr beam self-cleaning on the LP₁₁ mode in graded-index multimode fibers