Charge tunneling in fractional edge channels

Abstract

We explain recent experimental observations on effective charge of edge states tunneling through a quantum point contact in the weak backscattering regime. We focus on the behavior of the excess noise and on the effective tunneling charge as a function of temperature and voltage. By introducing a minimal hierarchical model different filling factors, ν=p/(2p+1), in the Jain sequence are treated on equal footing, in presence also of non-universal interactions. The agreement found with the experiments for ν=2/3 and ν=2/5 reinforces the description of tunneling of bunching of quasiparticles at low energies and quantitatively defines the condition under which one expects to measure the fundamental quasiparticle charge. We propose high-order current cumulant measurement to cross-check the validity of the above scenario and to better clarify the peculiar temperature behavior of the effective charges measured in the experiments.

6 pages, 3 figures

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Cited by in corpus (36)

• Fractional charge and fractional statistics in the quantum Hall effects
• Edge reconstruction in the $\nu =2/3$ fractional quantum Hall state
• Fabry-Perot Interferometry with Fractional Charges
• Characterizing Neutral Modes of Fractional States in the Second Landau Level
• Transport in a disordered $\nu =2/3$ fractional quantum Hall junction
• Tunneling between helical edge states through extended contacts
• Anomalous charge tunneling in the fractional quantum Hall edge states at filling factor ν= 5/2
• AFM probe for the signatures of Wigner correlations in the conductance of a one-dimensional quantum dot
• Crystallization of Levitons in the fractional quantum Hall regime
• Minimal excitation states for heat transport in driven quantum Hall systems
• Thermoelectric probe for neutral edge modes in the fractional quantum Hall regime
• Environmental induced renormalization effects in quantum Hall edge states
• Coulomb Oscillations in Antidots in the Integer and Fractional Quantum Hall Regimes
• Conductance plateaus and shot noise in fractional quantum Hall point contacts
• Spin current pumping in helical Luttinger liquids
• Determination of tunneling charge via current measurements
• Multiple quasiparticle Hall spectroscopy investigated with a resonant detector
• Why a noninteracting model works for shot noise in fractional charge experiments
• Contacts, equilibration, and interactions in fractional quantum Hall edge transport
• Shot-noise evidence of fractional quasiparticle creation in a local fractional quantum Hall state
• Spectral noise for edge states at filling factor $\nu =5/2$
• Non-equilibrium noise in transport across a tunneling contact between $\nu =2/3$ fractional quantum Hall edges
• Scaling dimension of quantum Hall quasiparticles from tunneling current noise measurements
• Non-linear Coulomb blockade microscopy of a correlated one-dimensional quantum dot
• Probing interactions via non-equilibrium momentum distribution and noise in integer quantum Hall systems at $\nu =2$
• Interaction effects in a multi-channel Fabry-Pérot interferometer in the Aharonov-Bohm regime
• Photoassisted shot noise spectroscopy at fractional filling factor
• Probing the $\nu =2/3$ fractional quantum Hall edge by momentum-resolved tunneling
• Finite frequency noise for edge states at filling factor $\nu =2/5$
• $\Delta T$-noise in Multiterminal Hybrid Systems
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• Finite frequency noise for Laughlin state investigated by a resonant circuit