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Fractional charge and fractional statistics in the quantum Hall effects
DE Feldman, BI Halperin - Reports on Progress in Physics, 2021 - iopscience.iop.org
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 Hall effect. We discuss in detail the definitions of fractional charge and statistics …
Direct observation of anyonic braiding statistics
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 of them are exchanged. Here, we report the experimental observation of anyonic …
Fractional statistics in anyon collisions
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 …
are neither bosonic nor fermionic. For example, the elementary excitations of the fractional …
Anyons in quantum Hall interferometry
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 …
electrons can be exploited for various applications, from metrology to quantum computation …
Fabry-Pérot Interferometry at the Fractional Quantum Hall State
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 …
and anyonic braiding statistics in the fractional quantum Hall regime. We extend this …
Aharonov–Bohm interference and statistical phase-jump evolution in fractional quantum Hall states in bilayer graphene
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 …
fractional charge and show fractional statistics as they interchange positions. While the …
Observation of ballistic upstream modes at fractional quantum Hall edges of graphene
The presence of “upstream” modes, moving against the direction of charge current flow in
the fractional quantum Hall (FQH) phases, is critical for the emergence of renormalized …
the fractional quantum Hall (FQH) phases, is critical for the emergence of renormalized …
Anyonic interference and braiding phase in a Mach-Zehnder interferometer
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 …
anyonic—exchange statistics. These topological states, which can have either an Abelian or …
Aharonov–Bohm effect in graphene-based Fabry–Pérot quantum Hall interferometers
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 …
for example, electrons in the chiral one-dimensional edge channels of the quantum Hall …
Simulating the dynamics of braiding of Majorana zero modes using an IBM quantum computer
We preform dynamic state evolution on an IBM quantum computer using a simulation of
braiding Majorana zero modes as a benchmark for success. We find the native quantum …
braiding Majorana zero modes as a benchmark for success. We find the native quantum …