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 …

Among very-low-disorder systems of condensed matter, the high-mobility two-dimensional
electron gas (2DEG) confined in aluminum gallium arsenide (AlGaAs)–gallium arsenide …

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 …

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 …

Quantum Hall interferometers have been used to probe fractional charge and statistics of
quasiparticles. We present measurements of a small Fabry–Perot interferometer in which the …

According to the bulk-edge correspondence principle, the physics of the gapless edge in the
quantum Hall effect determines the topological order in the gapped bulk. As the bulk is less …

Electron pairing is a rare phenomenon appearing only in a few unique physical systems; for
example, superconductors and Kondo-correlated quantum dots. Here, we report on an …

Recent experiments use Fabry-Perot (FP) interferometry to claim that the ν= 5/2 quantum
Hall state exhibits non-Abelian topological order. We note that the experiments appear …

We investigate integer and fractional quantum Hall states in quantum point contacts (QPCs)
of different geometries, defined in AlGaAs/GaAs heterostructures employing different doping …

In the fractional quantum Hall effect, the elementary excitations are quasi-particles with
fractional charges as predicted by theory and demonstrated by noise and interference …