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

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 …

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 …

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 …

Electron interferometry with quantum Hall (QH) edge channels in semiconductor
heterostructures can probe and harness the exchange statistics of anyonic excitations …

The braiding statistics of certain fractional quantum Hall states can be probed via
interferometry of their edge states. Practical difficulties—including loss of phase coherence …

The aim of this book is to introduce the basic elements of the scattering matrix approach to
transport phenomena in dynamical quantum systems of non-interacting electrons. This …

We analyze interference phenomena in the quantum-Hall analog of the Fabry-Pérot
interferometer, exploring the roles of the Aharonov-Bohm effect, Coulomb interactions, and …

Confined to a two-dimensional plane, electrons in a strong magnetic field travel along the
edge in one-dimensional quantum Hall channels that are protected against backscattering …