Telegraph Noise and Fractional Statistics in the Quantum Hall Effect
arXiv:cond-mat/0210621 · doi:10.1103/PhysRevLett.90.226802
Abstract
We study theoretically nonequilibrium noise in the fractional quantum Hall regime for an Aharonov Bohm ring which has a third contact in the middle of the ring. We show that as a consequence of their fractional statistics the tunneling of a Laughlin quasiparticle between the inner and outer edge of the ring changes the effective Aharonov Bohm flux experienced by quasiparticles going around the ring, leading to a change in the conductance across the ring. A small current in the middle contact therefore gives rise to fluctuations in the current flowing across the ring which resemble random telegraph noise. We analyze this noise using the chiral Luttinger liquid model. At low frequencies the telegraph noise varies inversely with the quasiparticle tunneling current, and can be much larger than the shot noise. We propose that combining the Aharonov Bohm effect with a noise measurement provides a direct method for observing fractional statistics.
4 pages, 1 figure. Final version to appear in PRL
References in corpus (2)
Cited by in corpus (49)
- An Electronic Mach-Zehnder Interferometer
- Anyons and the quantum Hall effect - a pedagogical review
- Probing non-Abelian statistics of Majorana fermions in ultracold atomic superfluid
- Interferometry of non-Abelian Anyons
- Electronic Mach-Zehnder interferometer as a tool to probe fractional statistics
- Signatures of fractional statistics in noise experiments in quantum Hall fluids
- Fractional charge and fractional statistics in the quantum Hall effects
- Detecting non-Abelian Statistics with Electronic Mach-Zehnder Interferometer
- Shot Noise in Anyonic Mach-Zehnder Interferometer
- Synthetic Topological Qubits in Conventional Bilayer Quantum Hall Systems
- Hanbury-Brown and Twiss interference of anyons
- Anyonic interference and braiding phase in a Mach-Zehnder Interferometer
- Electrical probes of the non-Abelian spin liquid in Kitaev materials
- Fibonacci Topological Superconductor
- Topological vacuum bubble by anyon braiding
- Negative delta- noise in the Fractional Quantum Hall effect
- Mapping the braiding properties of the Moore-Read state
- Coulomb blockade of anyons
- Single quasiparticle and electron nano-emitter in the fractional quantum Hall regime
- Measuring fractional charge and statistics in fractional quantum Hall fluids through noise experiments
- Berry phases for composite fermions: effective magnetic field and fractional statistics
- Mach-Zehnder interferometer in the Fractional Quantum Hall regime
- Mach-Zehnder interferometry of fractional quantum Hall edge states
- Charge-statistics separation and probing non-Abelian states
- Negative Excess Shot Noise by Anyon Braiding
- The sixteenfold way and the quantum Hall effect at half-integer filling factors
- Anyon braiding and telegraph noise in a graphene interferometer
- Probing Non-Abelian Statistics in nu=12/5 Quantum Hall State
- Hanbury Brown and Twiss Correlations in Quantum Hall Systems
- Theory of fractional quantum Hall interferometers
- Does delta- noise probe quantum statistics?
- Braiding of anyonic quasiparticles in the charge transfer statistics of symmetric fractional edge-state Mach-Zehnder interferometer
- Transport in line junctions of quantum Hall liquids
- Thermal interferometry of anyons in spin liquids
- Strong-coupling branching of FQHL edges
- Effect of control procedures on the evolution of entanglement in open quantum systems
- Antidot tunneling between Quantum Hall liquids with different filling factors
- Thermal interferometry of anyons
- Splitting electrons into quasiparticles with fractional edge-state Mach-Zehnder interferometer
- Correlators and fractional statistics in the quantum Hall bulk
- Intermediate fixed point in a Luttinger liquid with elastic and dissipative backscattering
- Effective field theory and tunneling currents in the fractional quantum Hall effect
- Charge transfer statistics in symmetric fractional edge-state Mach-Zehnder interferometer
- Quasi-particle propagation in quantum Hall systems
- Fractional statistics and duality: strong tunneling behavior of edge states of quantum Hall liquids in the Jain sequence
- Quasiparticle Andreev reflection in the Laughlin fractions of the fractional quantum Hall effect
- Correlated transport of FQHE quasiparticles in a double-antidot system
- Analysis of Shot Noise at Finite Temperatures in Fractional Quantum Hall Edge States
- Extracting the scaling dimension of quantum Hall quasiparticles from current correlations