Observation of an Interedge Magnetoplasmon Mode in a Degenerate Two-Dimensional Electron Gas

Sukhodub, G.; Hohls, Frank; Haug, Rolf J.

doi:10.1103/physrevlett.93.196801

Cited by 46 publications

(38 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Still, the observation remains challenging as transport properties remain unaffected up to GHz frequencies, where the wavelength of the eigenmodes becomes comparable to the propagation length of a few microns. Many experimental works have studied charge transport in quantum Hall edge channels and interaction effects between co-propagating and counterpropagating edge channels either in time [23][24][25][26] or in frequency [27][28][29][30] domains. However, none directly addressed the separation in charge and neutral modes as the individual control of edge channels was missing.…”

mentioning

confidence: 99%

Separation of neutral and charge modes in one-dimensional chiral edge channels

et al. 2013

View full text Add to dashboard Cite

Coulomb interactions have a major role in one-dimensional electronic transport. They modify the nature of the elementary excitations from Landau quasiparticles in higher dimensions to collective excitations in one dimension. Here we report the direct observation of the collective neutral and charge modes of the two chiral co-propagating edge channels of opposite spins of the quantum Hall effect at filling factor 2. Generating a charge density wave at frequency f in the outer channel, we measure the current induced by inter-channel Coulomb interaction in the inner channel after a 3-mm propagation length. Varying the driving frequency from 0.7 to 11 GHz, we observe damped oscillations in the induced current that result from the phase shift between the fast charge and slow neutral eigenmodes. We measure the dispersion relation and dissipation of the neutral mode from which we deduce quantitative information on the interaction range and parameters.

show abstract

mentioning

confidence: 99%

Separation of neutral and charge modes in one-dimensional chiral edge channels

et al. 2013

View full text Add to dashboard Cite

show abstract

“…For a further proof of the interpretation we facilitate selective edge channel detection [50][51][52] in a device as sketched in Fig. 8a.…”

Section: Separate Detection Of Edge Channelsmentioning

confidence: 96%

Dynamics of electronic transport in the integer quantum Hall regime

Hohls

Sukhodub

Haug

2008

Physica Status Solidi (b)

View full text Add to dashboard Cite

1 The quantum Hall plateau transition The obvious and striking feature of the quantum Hall effect is the perfect quantization of the Hall resistance which is accompanied by a vanishing longitudinal resistance [1]. However, the region in between the plateaus with its nonquantized Hall resistance and its finite, peaked longitudinal resistance might be even more important for a thorough understanding of the quantum Hall effect (QHE). It was suggested that the transition between adjacent QHE states is a universal quantum phase transition [2,3]. Strictly speaking such a phase transition is a zero temperature phenomenon but as long as the quantum fluctuations dominate over the thermal ones it can also be examined at finite temperature.Near the critical point of the transition the properties of the systems are then governed by the localization length ξ of the electronic states which is equivalent to the correlation length in the usual language of quantum phase transitions. It follows a power law with critical exponent γ,Here δ ist the distance to the critical point for the parameter used to drive the transition, e.g. the electron density e n or the magnetic field B. In the following we will use the filling factor e / n h eB ν = and its distance δν to the critical point c ν as parameter. A universal quantum phase transition is marked by a universal critical exponent. In numerical investigations for non-interacting electrons Eq. (1) was confirmed and γ turned out to be insensitive to details of the device with a best value of 2 35 0 03 γ = . ± . [4][5][6]. This value seems to be stable for perturbational addition of interaction [7][8][9].Experiments cannot access directly the localization length but instead measure the resistivities ij ρ or conductivities ij σ in macroscopic devices. Near the critical point these are expected to show a scaling behaviour with sample size L in the formAn experimental size variation showed for a small number of sample sizes a scaling which is compatible with the numerical values [10].Near the quantum phase transition the system is not only characterized by a length scale ξ but also by a time scale . The most common experimental approach is the measurement of the temperature dependence of the plateau transition [13,14]. The finite temperature T introduces an efWe examine different aspects of the dynamics of electronic transport in the integer quantum Hall effect. In the first part the quantum Hall plateau transition is studied. We present experimental results which confirm a universal scaling behaviour near the critical point of this quantum phase transition between adjacent quantum Hall phases. The second part focuses on the transport properties of quantum Hall edge channels. We use selective detection of individual channels to proof the existence of an inter-edge magneto plasmon mode. Furthermore we study the equilibration between spin polarised edge channels at very high magnetic fields.

show abstract

“…Therefore, one can choose the interferometer imbalance L ∼ 10 μm. Using the typical velocity of excitations in edge states v μ = 10 5 m/s [54,55], one can find τ = L/v μ ∼ 10 −10 s. The dwell time of a single-electron source can be made as small as τ D = 20 × 10 −12 s [56]. For the single-particle emission to be adiabatic it is required that > τ D .…”

Section: Feasibility Of Creation Of a Phase Carriermentioning

confidence: 99%

Fermi-sea correlations and a single-electron time-bin qubit

Moskalets

2014

Phys. Rev. B

View full text Add to dashboard Cite

A new principle of manipulation of an electron phase is proposed. The phase is added not directly to an electron but to a finite-length portion of the Fermi sea associated with it, which I name a phase carrier. This phase can be read out with the help of an imbalanced interferometer, where the phase carrier interferes with the reference Fermi sea. As a result of such interference, the same value but opposite sign charge appears at the interferometer's outputs. A phase carrier can be created, for instance, with the help of an on-demand single-electron source able to produce excitations with multiple-peak density profiles.

show abstract

Observation of an Interedge Magnetoplasmon Mode in a Degenerate Two-Dimensional Electron Gas

Cited by 46 publications

References 18 publications

Separation of neutral and charge modes in one-dimensional chiral edge channels

Separation of neutral and charge modes in one-dimensional chiral edge channels

Dynamics of electronic transport in the integer quantum Hall regime

Fermi-sea correlations and a single-electron time-bin qubit

Contact Info

Product

Resources

About