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 physics: Hierarchies and conformal field theory techniques

TH Hansson, M Hermanns, SH Simon, SF Viefers - Reviews of Modern Physics, 2017‏ - APS
The fractional quantum Hall effect, being one of the most studied phenomena in condensed
matter physics during the past 30 years, has generated many ground-breaking new ideas …

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 …

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 …

A tunable Fabry–Pérot quantum Hall interferometer in graphene

C Déprez, L Veyrat, H Vignaud, G Nayak… - Nature …, 2021‏ - nature.com
Electron interferometry with quantum Hall (QH) edge channels in semiconductor
heterostructures can probe and harness the exchange statistics of anyonic excitations …

The quantum Hall effect at 5/2 filling factor

RL Willett - Reports on Progress in Physics, 2013‏ - iopscience.iop.org
Experimental discovery of a quantized Hall state at 5/2 filling factor presented an enigmatic
finding in an established field of study that has remained an open issue for more than twenty …

Fabry-Perot interferometry with fractional charges

DT McClure, W Chang, CM Marcus, LN Pfeiffer… - Physical Review Letters, 2012‏ - APS
Resistance oscillations in electronic Fabry-Perot interferometers near fractional quantum
Hall (FQH) filling factors 1/3, 2/3, 4/3, and 5/3 in the constrictions are compared to those near …

Recent experimental progress of fractional quantum Hall effect: 5/2 filling state and graphene

X Lin, R Du, X **e - National Science Review, 2014‏ - academic.oup.com
The phenomenon of fractional quantum Hall effect (FQHE) was first experimentally observed
33 years ago. FQHE involves strong Coulomb interactions and correlations among the …

Experimental probe of topological orders and edge excitations in the second Landau level

S Baer, C Rössler, T Ihn, K Ensslin, C Reichl… - Physical Review B, 2014‏ - APS
We measure weak quasiparticle tunneling across a constriction in the second Landau level.
At ν= 7/3, 8/3, and 5/2, comparison of temperature and dc bias dependence to weak …

Impact of bulk-edge coupling on observation of anyonic braiding statistics in quantum Hall interferometers

J Nakamura, S Liang, GC Gardner… - Nature Communications, 2022‏ - nature.com
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 …