Fractionalization and anyonic statistics in the integer quantum Hall collider

Abstract

One remarkable feature of strongly correlated systems is the phenomenon of fractionalization where quasiparticles carry only a fraction of the charge or spin of the elementary constituents. Such quasiparticles often present anyonic statistics in two dimensions and lie at the heart of the fractional quantum Hall effect. We discuss the observation of fractionalization and anyonic statistics already in the integer quantum Hall effect coupled to a metallic island. A continuous fractional emitter is proposed, which sends dilute beams of non-integer charges, and its full counting statistics is obtained. The fractional charge is governed solely by the number of ballistic channels covered by the island and it is one half of the electron charge for a single ballistic channel. We further characterize the mixing of two such fractional beams through a quantum point contact beam splitter. We predict negative cross-correlations, in strong contrast with free electrons, that depend on the double exchange phase between electrons and the fractional charges emulating anyons. The result is similar to a genuine fractional edge state as recently measured at filling $\nu =1/3$. We revisit the physical interpretation of this experiment and point towards a direct braiding measurement rather than a deviation from fermionic antibunching.

19 pages, 7 figures

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Cited by in corpus (23)

• Partitioning of Diluted Anyons Reveals their Braiding Statistics
• Non-Abelian Anyon Collider
• Two-sites quantum island in the quasi-ballistic regime
• Quasiparticle Andreev scattering in the $\nu =1/3$ fractional quantum Hall regime
• Partition of Two Interacting Electrons by a Potential Barrier
• Anyon statistics through conductance measurements of time-domain interferometry
• Finite width of anyons changes their braiding signature
• Current cross-correlations in a quantum Hall collider at filling factor two
• Measuring topological entanglement entropy using Maxwell relations
• AC driven strongly correlated quantum circuits and Hall edge states: Unified photo-assisted noise and revisited minimal excitations
• Impact of potential and temperature fluctuations on charge and heat transport in quantum Hall edges in the heat Coulomb blockade regime
• Anyon braiding on the single edge of a fractional quantum Hall state
• Landscapes of an out-of-equilibrium anyonic sea
• Quasiparticle Andreev reflection in the Laughlin fractions of the fractional quantum Hall effect
• 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
• Multi-mode Coulomb blockade oscillations
• Signature of anyonic statistics in the integer quantum Hall regime
• Fractional-statistics-induced entanglement from Andreev-like tunneling
• Photo-assisted current in the fractional quantum Hall effect as a probe of the quasiparticle operator scaling dimension
• Probing anyon statistics on a single-edge loop in the fractional quantum Hall regime
• Breakdown of the Wiedemann-Franz law in an interacting quantum Hall metamaterial
• Tunneling in multi-site mesoscopic quantum Hall circuits