Finite Soliton Width Matters: Investigating Non-equilibrium Exchange Phases of Anyons

Abstract

Unlike bosons and fermions, quasi-particles in two-dimensional quantum systems, known as anyons, exhibit statistical exchange phases that range between $0$ and $\pi$. In fractional quantum Hall states, these anyons, possessing a fraction of the electron charge, traverse along chiral edge channels. This movement facilitates the creation of anyon colliders, where coupling different edge channels through a quantum point contact enables the observation of two-particle interference effects. Such configurations are instrumental in deducing the anyonic exchange phase via current cross-correlations. Prior theoretical models represented dilute anyon beams as discrete steps in the boson fields. However, our study reveals that incorporating the finite width of the soliton shape is crucial for accurately interpreting recent experiments, especially for collider experiments involving anyons with exchange phases $\theta >\pi /2$, where prior theories fall short.

5 pages, 5 figures

References in corpus (8)

• Fractional statistics in anyon collisions
• Hanbury-Brown and Twiss interference of anyons
• Topological vacuum bubble by anyon braiding
• Partitioning of Diluted Anyons Reveals their Braiding Statistics
• Measuring fractional charge and statistics in fractional quantum Hall fluids through noise experiments
• Negative Excess Shot Noise by Anyon Braiding
• Fractional Mutual Statistics on Integer Quantum Hall Edges
• Anyon statistics through conductance measurements of time-domain interferometry

Cited by in corpus (7)

• 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
• Probing anyon statistics on a single-edge loop in the fractional quantum Hall regime
• Signature of anyonic statistics in the integer quantum Hall regime
• Photo-assisted shot noise probes multiple charge carriers in quantum Hall edges