Whenever a quantum system undergoes a cyclic evolution governed by a slow change of
parameters, it acquires a phase factor: the geometric phase. Its most common formulations …

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 …

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 …

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

The quantum Hall (QH) effect represents a unique playground where quantum coherence of
electrons can be exploited for various applications, from metrology to quantum computation …

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 …

We attempted to measure interference of the outer edge mode in the fractional quantum hall
regime with an electronic Mach-zehnder interferometer. The visibility of the interferometer …

Fermions and bosons are fundamental realizations of exchange statistics, which governs the
probability for two particles being close to each other spatially. Anyons in the fractional …

The scattering of exotic quasiparticles may follow different rules than electrons. In the
fractional quantum Hall regime, a quantum point contact (QPC) provides a source of …

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 …