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

Abstract

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.

23 pages, 6 figures

References in corpus (12)

• Spin-charge separation and localization in one-dimension
• Coherence and Indistinguishability of Single Electrons Emitted by Independent Sources
• Probing spin-charge separation in a Tomonaga-Luttinger liquid
• Direct measurement of the coherence length of edge states in the Integer Quantum Hall Regime
• Dephasing in the electronic Mach-Zehnder interferometer at filling factor 2
• Tuning Energy Relaxation along Quantum Hall Channels
• Electron quantum optics in quantum Hall edge channels
• Resonant dephasing in the electronic Mach-Zehnder interferometer
• Noise dephasing in the edge states of the Integer Quantum Hall regime
• The relaxation time of a chiral quantum R-L circuit
• Quantum coherence engineering in the integer quantum Hall regime
• Observation of inter-edge magnetoplasmon mode in a degenerate two-dimensional electron gas

Cited by in corpus (101)

• Coherent control of single electrons: a review of current progress
• Electron quantum optics in ballistic chiral conductors
• Fractionalized Wave Packets from an Artificial Tomonaga-Luttinger Liquid
• Hong-Ou-Mandel experiment for temporal investigation of single electron fractionalization
• Real time decoherence of Landau and Levitov quasi-particles in quantum Hall edge channels
• Waveform measurement of charge- and spin-density wave packets in a Tomonaga-Luttinger liquid
• Interactions and charge fractionalization in an electronic Hong-Ou-Mandel interferometer
• Wigner function approach to single electron coherence in quantum Hall edge channels
• Time-of-Flight Measurements of Single-Electron Wave Packets in Quantum-Hall Edge States
• Minimal excitations in the fractional quantum Hall regime
• Intrinsic and extrinsic decay of edge magnetoplasmons in graphene
• Electron quantum optics as quantum signal processing
• Decoherence and relaxation of a single electron in a one dimensional conductor
• Partial equilibration of integer and fractional edge channels in the thermal quantum Hall effect
• Comment on S. H. Simon, Interpretation of thermal conductance of the $\nu =5/2$ edge, arXiv:1801.09687
• Unveiling the bosonic nature of an ultrashort few-electron pulse
• Distributed-element circuit model of edge magnetoplasmon transport
• Circuit Quantum Simulation of a Tomonaga-Luttinger Liquid with an Impurity
• Macroscopic electron quantum coherence in a solid-state circuit
• Partial equilibration of anti-Pfaffian edge modes at $\nu =5/2$
• Relaxation and revival of quasiparticles injected in an interacting quantum Hall liquid
• Robust quantum coherence above the Fermi sea
• Taming electronic decoherence in 1D chiral ballistic quantum conductors
• Long-Distance Entanglement of Spin Qubits via Quantum Hall Edge States
• Experimental constraints and a possible quantum Hall state at $\nu =5/2$
• Waiting time distribution for trains of quantized electron pulses
• Fractional Mutual Statistics on Integer Quantum Hall Edges
• Shaping charge excitations in chiral edge states with a time-dependent gate voltage
• Relaxation of an electron wave packet at the quantum Hall edge at filling factor 2
• Contacts, equilibration, and interactions in fractional quantum Hall edge transport
• Photoexcitation of electron wave packets in quantum spin Hall edge states: effects of chiral anomaly from a localised electric pulse
• Dephasing of an Electronic Two-Path Interferometer
• Two-particle interferometry in quantum Hall edge channels
• Dynamical separation of bulk and edge transport in HgTe-based 2D topological insulators
• Time-resolved charge fractionalization in inhomogeneous Luttinger liquids
• Single-electron coherence: finite temperature versus pure dephasing
• Collisional interferometry of Levitons in quantum Hall edge channels at $\nu =2$
• Charge equilibration in integer and fractional quantum Hall edge channels in a generalized Hall-bar device
• Levitons in superconducting point contacts
• Quantized charge fractionalization at quantum Hall Y junctions in the disorder-dominated regime
• Auger-spectroscopy in quantum Hall edge channels: a possible resolution to the missing energy problem
• Strongly coupled edge states in a graphene quantum Hall interferometer
• Minimal-excitation single-particle emitters: A comparison of charge and energy transport properties
• Unified time-dependent perturbative relations applied to spectroscopy through photo-drag current
• The Interacting Mesoscopic Capacitor Out of Equilibrium
• Topological dephasing in the $\nu =2/3$ fractional Quantum Hall Regime
• Charge Fractionalization in Artificial Tomonaga-Luttinger Liquids with Controlled Interaction Strength
• Long-lived binary tunneling spectrum in a quantum-Hall Tomonaga-Luttinger liquid
• Partition of Two Interacting Electrons by a Potential Barrier
• Two-electron coherence and its measurement in electron quantum optics
• Dynamical transport measurement of the Luttinger parameter in helical edges states of 2D topological insulators
• Statistical theory of relaxation of high energy electrons in quantum Hall edge states
• Interaction effects in a multi-channel Fabry-Pérot interferometer in the Aharonov-Bohm regime
• On-chip coherent frequency-domain THz spectroscopy for electrical transport
• Probing interactions via non-equilibrium momentum distribution and noise in integer quantum Hall systems at $\nu =2$
• Influence of channel mixing in fermionic Hong-Ou-Mandel experiments
• Spectral properties of interacting helical channels driven by Lorentzian pulses
• Topological BF description of 2D accelerated chiral edge modes
• Phase-Coherent Dynamics of Quantum Devices With Local Interactions
• Dephasing in single-electron generation due to environmental noise probed by Hong Ou Mandel interferometry
• Pair spin-orbit interaction in low-dimensional electron systems
• Suppression of Gate Screening on Edge Magnetoplasmons by Highly Resistive ZnO Gate
• Detection of spin entanglement via spin-charge separation in crossed Tomonaga-Luttinger liquids
• Time-resolved investigation of plasmon mode along interface channels in integer and fractional quantum Hall regimes
• Quantum Hall Bogoliubov Interferometer
• Velocity and confinement of edge plasmons in HgTe-based 2D topological insulators
• Time-resolved measurement of ambipolar edge magnetoplasmon transport in InAs/InGaSb composite quantum wells
• Photoexcitation in two-dimensional topological insulators: Generating and controlling electron wavepackets in Quantum Spin Hall systems
• Coherence recovery mechanisms in quantum Hall edge states
• Plasmon modes of coupled quantum Hall edge channels in the presence of disorder-induced tunneling
• Interaction-induced charge transfer in a mesoscopic electron spectrometer
• AC driven strongly correlated quantum circuits and Hall edge states: Unified photo-assisted noise and revisited minimal excitations
• Nonlocal thermoelectric detection of interaction and correlations in edge states
• Gate tunable edge magnetoplasmon resonators
• Characterization of helical Luttinger liquids in microwave stepped-impedance edge resonators
• Electronic wave-packets in integer quantum Hall edge channels: relaxation and dissipative effects
• Fermi-edge singularity and related interaction induced phenomena in multilevel quantum dots
• A Luttinger Liquid coupled to Ohmic-class environments
• Electron interferometry in integer quantum Hall edge channels
• Non-thermal Tomonaga-Luttinger liquid eventually emerging from hot electrons in the quantum Hall regime
• Dynamics of one-dimensional electrons with broken spin-charge separation
• Decoherence of high-energy electrons in weakly disordered quantum Hall edge states
• Coulomb interactions and effective quantum inertia of charge carriers in a macroscopic conductor
• Non-uniform heat redistribution among multiple channels in the integer quantum Hall regime
• Coherent electron splitting in interacting chiral edge channels
• Coupling between Quantum Hall Edge Channels on Opposite Sides of a Hall Bar
• Mach-Zehnder interference of fractionalized electron-spin excitations
• Hybrid interacting quantum Hall thermal machine
• Quantum transport phenomena induced by time-dependent fields
• Charge-conserving equilibration of quantum Hall edge states
• Efficient heat-energy conversion from a non-thermal Tomonaga-Luttinger liquid
• Quantum Hall realization of polarized intensity interferometry
• Impact of Channel Mixing on the Visibility of Two-particle Interferometry in Quantum Hall Edge States
• Signature of anyonic statistics in the integer quantum Hall regime
• Conductance resonances and crossing of the edge channels in the quantum Hall ferromagnet state of Cd(Mn)Te microstructures
• Edge mode velocities in the quantum Hall effect from a dc measurement
• Elevated Hall Responses as Indicators of Edge Reconstruction
• Notes from the bulk: metric dependence of the edge states of Chern-Simons theory
• Heating Dynamics of Mesoscopic Electron Baths at High Magnetic Field
• Fractional charges in emergent neutral modes at the integer quantum Hall effect
• Effects of a single impurity in a Luttinger liquid with spin-orbit coupling