Quasiparticles with fractional charge and fractional statistics are key features of the fractional
quantum Hall effect. We discuss in detail the definitions of fractional charge and statistics …

The edges of quantum Hall fluids behave as one-dimensional conductors. This article
reviews electron transport into these edge states, covering both the theory based on the …

Quasi-particles with fractional charge and statistics, as well as modified Coulomb
interactions, exist in a two-dimensional electron system in the fractional quantum Hall (FQH) …

Anyon collision experiments have recently demonstrated the ability to discriminate between
fermionic and anyonic statistics. However, only one type of anyons associated with the …

In an all-van der Waals heterostructure, the active layer, gate dielectrics and gate electrodes
are assembled from two-dimensional crystals that have a low density of atomic defects. This …

Shot noise, originating from the discrete nature of electric charge, is generated by scattering
processes. Shot-noise measurements have revealed microscopic charge dynamics in …

Transport measurement, which applies an electric field and studies the migration of charged
particles, ie, the current, is the most widely used technique in condensed matter studies. It is …

Numerical results suggest that the quantum Hall effect at ν= 5/2 is described by the Pfaffian
or anti-Pfaffian state in the absence of disorder and Landau-level mixing. Those states are …

One-dimensional conductors are described by Luttinger liquid theory, which predicts a
power-law suppression of the single-electron tunneling density of states at low voltages. The …

Fractional quantum Hall quasiparticles are generally characterized by two quantum
numbers: electric charge Q and scaling dimension Δ. For the simplest states (such as the …