Why a noninteracting model works for shot noise in fractional charge experiments

Abstract

A fractional quasiparticle charge is a manifestation of strong interactions in the fractional quantum Hall effect. Nevertheless, shot noise of quasiparticles is well described by a formula, derived for noninteracting charges. We explain the success of that formula by proving that in the limits of strong and weak backscattering it holds irrespectively of microscopic details in weakly and strongly interacting systems alike. The derivation relies only on principles of statistical mechanics. We also derive an approximate model-independent formula for shot noise in the regime of intermediate backscattering. The equation is numerically close to the standard `noninteracting' fitting formula but suggests a different physical interpretation of the experimental results. We verify our theoretical predictions with a shot noise experiment at the filling factor $3/5$.

arXiv commentreferences added

References in corpus (36)

• Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Spin Ice, Fractionalization and Topological Order
• Towards identification of a non-abelian state: observation of a quarter of electron charge at $\nu =5/2$ quantum Hall state
• Exact Conductance through Point Contacts in the $\nu =1/3$ Fractional Quantum Hall Effect
• Exact non-equilibrium transport through point contacts in quantum wires and fractional quantum Hall devices
• Measurement of filling factor 5/2 quasiparticle interference: observation of charge e/4 and e/2 period oscillations
• Electron shot noise beyond the second moment
• Exact non-equilibrium DC shot noise in Luttinger liquids and fractional quantum Hall devices
• Fractionalized Wave Packets from an Artificial Tomonaga-Luttinger Liquid
• Particle-hole symmetry without particle-hole symmetry in the quantum Hall effect at ν = 5/2
• Spin Charge Separation in the Quantum Spin Hall State
• Scattering of Bunched Fractionally Charged Quasiparticles
• Current Correlations from a Mesoscopic Anyon Collider
• Non-equilibrium DC noise in a Luttinger liquid with impurity
• Measurements of quasi-particle tunneling in the nu = 5/2 fractional quantum Hall state
• Is the charge determined via shot noise measurements unique?
• The Evolution of Quasiparticle Charge in the Fractional Quantum Hall Regime
• Hanbury-Brown and Twiss interference of anyons
• Anomalous charge tunneling in the fractional quantum Hall edge states at filling factor ν= 5/2
• Charge tunneling in fractional edge channels
• Relevance of multiple-quasiparticle tunneling between edge states at ν=p/(2np+1)
• Environmental induced renormalization effects in quantum Hall edge states
• Charge-statistics separation and probing non-Abelian states
• Neutral modes edge state dynamics through quantum point contacts
• Shot-noise evidence of fractional quasiparticle creation in a local fractional quantum Hall state
• Hanbury Brown and Twiss Correlations in Quantum Hall Systems
• Chirality, causality, and fluctuation-dissipation theorems in non-equilibrium steady states
• Fluctuation-dissipation theorem for chiral systems in non-equilibrium steady states
• Scaling dimension of quantum Hall quasiparticles from tunneling current noise measurements
• Effect of interactions on the noise of chiral Luttinger liquid systems
• Chirality and Current-Current Correlation in Fractional Quantum Hall Systems
• Fluctuation theorems without time-reversal symmetry
• Multiple-quasiparticle agglomerates at ν=2/5
• Quasiparticle agglomerates in Read-Rezayi and anti Read-Rezayi state

Cited by in corpus (21)

• Fractional statistics in anyon collisions
• Fractional charge and fractional statistics in the quantum Hall effects
• A Josephson frequency for fractionally charged anyons
• Shot Noise in Mesoscopic Systems: from Single Particles to Quantum Liquids
• Noise on complex quantum Hall edges: Chiral anomaly and heat diffusion
• Partitioning of Diluted Anyons Reveals their Braiding Statistics
• Negative Excess Shot Noise by Anyon Braiding
• Edge Probes of Topological Order
• Interaction-induced interference in the integer quantum Hall effect
• Does shot noise always provide the quasiparticle charge?
• Microwave photons emitted by fractionally charged quasiparticles
• Quasiparticle Andreev scattering in the $\nu =1/3$ fractional quantum Hall regime
• Anyon statistics through conductance measurements of time-domain interferometry
• Anyonic Mach-Zehnder interferometer on a single edge of a 2D electron gas
• Molecular anyons in fractional quantum Hall effect
• Different fractional charges from auto- and cross-correlation noise in quantum Hall states without upstream modes
• Transport Signatures of Fractional Quantum Hall Binding Transitions
• Quantum Fluctuations of Entropy Production for Fermionic Systems in Landauer-Buttiker State
• Tunneling current and current correlations for anyonic quasiparticles of ν = 1/2 chiral Luttinger liquid in multi-edge geometries
• Self-equilibration theorem in quantum-point contacts of interacting electrons: time-dependent quantum fluctuations of tunnel transport beyond the Levitov-Lesovik scattering approach
• Anyonic analogue of optical Mach-Zehnder interferometer