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 $3/5$.

references added

References in corpus (12)

• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Spin Charge Separation in the Quantum Spin Hall State
• Hanbury-Brown and Twiss interference of anyons
• 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
• Shot-noise evidence of fractional quasiparticle creation in a local fractional quantum Hall state
• Chirality, causality, and fluctuation-dissipation theorems 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

Cited by in corpus (14)

• Fractional statistics in anyon collisions
• Shot Noise in Mesoscopic Systems: from Single Particles to Quantum Liquids
• Partitioning of Diluted Anyons Reveals their Braiding Statistics
• Negative Excess Shot Noise by Anyon Braiding
• 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
• Quantum Fluctuations of Entropy Production for Fermionic Systems in Landauer-Buttiker State
• Transport Signatures of Fractional Quantum Hall Binding Transitions
• Tunneling current and current correlations for anyonic quasiparticles of ν = 1/2 chiral Luttinger liquid in multi-edge geometries
• Anyonic analogue of optical Mach-Zehnder interferometer