Anomalous Chiral Luttinger Liquid Behavior of Diluted Fractionally Charged Quasiparticles

Abstract

Fractionally charged quasiparticles in edge states, are expected to condense to a chiral Luttinger liquid (CLL). We studied their condensation by measuring the conductance and shot noise due to an artificial backscatterer embedded in their path. At sufficiently low temperatures backscattering events were found to be strongly correlated, producing a highly non-linear current-voltage characteristic and a non-classical shot noise - both are expected in a CLL. When, however, the impinging beam of quasiparticles was made dilute, either artificially via an additional weak backscatterer or by increasing the temperature, the resultant outgoing noise was classical, indicating the scattering of independent quasiparticles. Here, we study in some detail this surprising crossover from correlated particle behavior to an independent behavior, as function of beam dilution.

arXiv commentto be published on Phys. Rev. B (Rapid Communications)

References in corpus (6)

• Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
• Exact non-equilibrium transport through point contacts in quantum wires and fractional quantum Hall devices
• Exact non-equilibrium DC shot noise in Luttinger liquids and fractional quantum Hall devices
• The Evolution of Quasiparticle Charge in the Fractional Quantum Hall Regime
• Bunching of Fractionally-Charged Quasiparticles Tunneling through High Potential Barriers
• Shot Noise and the Transmission of Dilute Laughlin Quasiparticles

Cited by in corpus (21)

• Towards identification of a non-abelian state: observation of a quarter of electron charge at $\nu =5/2$ quantum Hall state
• Is the charge determined via shot noise measurements unique?
• Inter-edge strong-to-weak scattering evolution at a constriction in the fractional quantum Hall regime
• Shot Noise in Mesoscopic Systems: from Single Particles to Quantum Liquids
• Partitioning of Diluted Anyons Reveals their Braiding Statistics
• Electron Bunching in Transport Through Quantum Dots in High Magnetic Field
• Negative Excess Shot Noise by Anyon Braiding
• Edge Probes of Topological Order
• Shot-noise evidence of fractional quasiparticle creation in a local fractional quantum Hall state
• Quasiparticle Andreev scattering in the $\nu =1/3$ fractional quantum Hall regime
• Edge State Tunneling in a Split Hall Bar Model
• Effect of interactions on the noise of chiral Luttinger liquid systems
• Temperature Dependence of the Tunneling Amplitude between Quantum Hall Edges
• Edge Magnetoplasmons in Quantum Hall Line Junction Systems
• Quasi-particle tunneling at a constriction in a fractional quantum Hall state
• Measuring topological entanglement entropy using Maxwell relations
• How Irrelevant Operators affect the Determination of Fractional Charge
• Metal-Insulator Transition Tuned by External Gates in Hall Systems with Constrictions
• Quasiparticle Andreev reflection in the Laughlin fractions of the fractional quantum Hall effect
• Electrostatics of Edge States of Quantum Hall Systems with Constrictions: Metal--Insulator Transition Tuned by External Gates
• Tunneling of quasiholes in the fractional quantum Hall regime