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 …

Direct observation of anyonic braiding statistics

J Nakamura, S Liang, GC Gardner, MJ Manfra - Nature Physics, 2020 - nature.com
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 …

Fractional statistics in anyon collisions

H Bartolomei, M Kumar, R Bisognin, A Marguerite… - Science, 2020 - science.org
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 …

Anyons in quantum Hall interferometry

M Carrega, L Chirolli, S Heun, L Sorba - Nature Reviews Physics, 2021 - nature.com
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 …

Fabry-Pérot Interferometry at the Fractional Quantum Hall State

J Nakamura, S Liang, GC Gardner, MJ Manfra - Physical Review X, 2023 - APS
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 …

Aharonov–Bohm interference and statistical phase-jump evolution in fractional quantum Hall states in bilayer graphene

J Kim, H Dev, R Kumar, A Ilin, A Haug… - Nature …, 2024 - nature.com
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 …

Observation of ballistic upstream modes at fractional quantum Hall edges of graphene

R Kumar, SK Srivastav, C Spånslätt… - Nature …, 2022 - nature.com
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 …

Anyonic interference and braiding phase in a Mach-Zehnder interferometer

HK Kundu, S Biswas, N Ofek, V Umansky, M Heiblum - Nature physics, 2023 - nature.com
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 …

Aharonov–Bohm effect in graphene-based Fabry–Pérot quantum Hall interferometers

Y Ronen, T Werkmeister, D Haie Najafabadi… - Nature …, 2021 - nature.com
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 …

Simulating the dynamics of braiding of Majorana zero modes using an IBM quantum computer

JPT Stenger, NT Bronn, DJ Egger, D Pekker - Physical Review Research, 2021 - APS
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 …