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 …

Quantum mechanics classifies all elementary particles as either fermions or bosons, and this
classification is crucial to the understanding of a variety of physical systems, such as lasers …

Anyons are quasiparticles that, unlike fermions and bosons, show fractional statistics when
two of them are exchanged. Here, we report the experimental observation of anyonic …

Two-dimensional systems can host exotic particles called anyons whose quantum statistics
are neither bosonic nor fermionic. For example, the elementary excitations of the fractional …

In the fractional quantum Hall effect, quasiparticles are collective excitations that have a
fractional charge and show fractional statistics as they interchange positions. While the …

Topological quantum computation is a computational paradigm based on topological
phases of matter, which are governed by topological quantum field theories. In this …

Electronic Fabry-Pérot interferometry is a powerful method to probe quasiparticle charge
and anyonic braiding statistics in the fractional quantum Hall regime. We extend this …

Interferometers probe the wave-nature and exchange statistics of indistinguishable particles—
for example, electrons in the chiral one-dimensional edge channels of the quantum Hall …

Fractional quantum Hall states have long been predicted to be a testing ground of fractional—
anyonic—exchange statistics. These topological states, which can have either an Abelian or …

The fractional quantum Hall effect, being one of the most studied phenomena in condensed
matter physics during the past 30 years, has generated many ground-breaking new ideas …