Finite width of anyons changes their braiding signature

Abstract

Anyons are particles intermediate between fermions and bosons, characterized by a nontrivial exchange phase, yielding remarkable braiding statistics. Recent experiments have shown that anyonic braiding has observable consequences on edge transport in the fractional quantum Hall effect (FQHE). Here, we study transport signatures of anyonic braiding when the anyons have a finite width. We show that the width of the anyons, even extremely small, can have a tremendous impact on transport properties and braiding signatures. In particular, we find that taking the finite width into account allows us to explain recent experimental results on FQHE at filling factor $2/5$ [Ruelle et al., Phys. Rev. X \textbf{13}, 011031 (2023)]. Our work shows that the finite width of anyons crucially influences setups involving anyonic braiding, especially when the exchange phase is larger than $\pi /2$.

5 pages + supplemental material

References in corpus (11)

• Non-Abelian Anyons and Topological Quantum Computation
• Fractional statistics in anyon collisions
• Edge States and Interferometers in the Pfaffian and anti-Pfaffian States
• Hanbury-Brown and Twiss interference of anyons
• Anyonic interference and braiding phase in a Mach-Zehnder Interferometer
• Anyons in Quantum Hall Interferometry
• Topological vacuum bubble by anyon braiding
• Partitioning of Diluted Anyons Reveals their Braiding Statistics
• Negative Excess Shot Noise by Anyon Braiding
• Poissonian tunneling through an extended impurity in the quantum Hall effect
• Anyon statistics through conductance measurements of time-domain interferometry

Cited by in corpus (8)

• Observation of the scaling dimension of fractional quantum Hall anyons
• Landscapes of an out-of-equilibrium anyonic sea
• Tunneling current and current correlations for anyonic quasiparticles of ν = 1/2 chiral Luttinger liquid in multi-edge geometries
• Exchange-phase erasure in anyonic Hong-Ou-Mandel interferometry
• Signature of anyonic statistics in the integer quantum Hall regime
• Probing anyon statistics on a single-edge loop in the fractional quantum Hall regime
• Photo-assisted shot noise probes multiple charge carriers in quantum Hall edges
• Current fluctuations in nonequilibrium open quantum systems beyond weak coupling: a reaction coordinate approach