Anyon statistics through conductance measurements of time-domain interferometry

Abstract

We propose a method to extract the mutual exchange statistics of the anyonic excitations of a general Abelian fractional quantum Hall state, by comparing the tunneling characteristics of a quantum point contact in two different experimental conditions. In the first, the tunneling current between two edges at different chemical potentials is measured. In the second, one of these edges is strongly diluted by an earlier point contact. We describe the case of the dilute beam in terms of a time-domain interferometer between the anyons flowing along the edge and quasiparticle-quasihole excitations created at the tunneling quantum point contact. In both cases, temperature is kept large, such that the measured current is given to linear response. Remarkably, our proposal does not require the measurement of current correlations, and allows us to carefully separate effects of the fractional charge and statistics from effects of intra- and inter-edge interactions.

5+5 pages, 2 figures

References in corpus (19)

• Fractional statistics in anyon collisions
• Anyons and the quantum Hall effect - a pedagogical review
• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
• Thirty Years of Composite Fermions and Beyond
• Wavefunctionology: The Special Structure of Certain Fractional Quantum Hall Wavefunctions
• Hanbury-Brown and Twiss interference of anyons
• Partitioning of Diluted Anyons Reveals their Braiding Statistics
• Fractionalization and anyonic statistics in the integer quantum Hall collider
• Topological vacuum bubble by anyon braiding
• Non-Abelian Anyon Collider
• Relevance of multiple-quasiparticle tunneling between edge states at ν=p/(2np+1)
• Measuring fractional charge and statistics in fractional quantum Hall fluids through noise experiments
• Environmental induced renormalization effects in quantum Hall edge states
• Negative Excess Shot Noise by Anyon Braiding
• Fractional Mutual Statistics on Integer Quantum Hall Edges
• Why a noninteracting model works for shot noise in fractional charge experiments
• Quasiparticle Andreev scattering in the $\nu =1/3$ fractional quantum Hall regime
• Scaling dimension of quantum Hall quasiparticles from tunneling current noise measurements
• Fluctuations in heat current and scaling dimension

Cited by in corpus (11)

• Finite width of anyons changes their braiding signature
• Finite Soliton Width Matters: Investigating Non-equilibrium Exchange Phases of Anyons
• Dynamics of parafermionic states in transport measurements
• Anyon braiding on the single edge of a fractional quantum Hall state
• 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
• Non-Abelian anyon statistics through AC conductance of a Majorana interferometer
• Fractional-statistics-induced entanglement from Andreev-like tunneling
• Probing anyon statistics on a single-edge loop in the fractional quantum Hall regime
• Quantum statistics and self-interference in extended colliders