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 …

Coulomb and Riesz gases: The known and the unknown

M Lewin - Journal of Mathematical Physics, 2022 - pubs.aip.org
We review what is known, unknown, and expected about the mathematical properties of
Coulomb and Riesz gases. Those describe infinite configurations of points in R d interacting …

Local probe of bulk and edge states in a fractional Chern insulator

Z Ji, H Park, ME Barber, C Hu, K Watanabe… - Nature, 2024 - nature.com
The fractional quantum Hall effect is a key example of topological quantum many-body
phenomena, arising from the interplay between strong electron correlation, topological order …

Trapped fractional charges at bulk defects in topological insulators

CW Peterson, T Li, W Jiang, TL Hughes, G Bahl - Nature, 2021 - nature.com
Topological crystalline insulators (TCIs) can exhibit unusual, quantized electric phenomena
such as fractional electric polarization and boundary-localized fractional charge,,,,–. This …

[HTML][HTML] Probing quantum devices with radio-frequency reflectometry

F Vigneau, F Fedele, A Chatterjee, D Reilly… - Applied Physics …, 2023 - pubs.aip.org
Many important phenomena in quantum devices are dynamic, meaning that they cannot be
studied using time-averaged measurements alone. Experiments that measure such transient …

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 …

Anyons and the quantum Hall effect—A pedagogical review

A Stern - Annals of Physics, 2008 - Elsevier
The dichotomy between fermions and bosons is at the root of many physical phenomena,
from metallic conduction of electricity to super-fluidity, and from the periodic table to coherent …

Cross-Correlation Investigation of Anyon Statistics in the and Fractional Quantum Hall States

P Glidic, O Maillet, A Aassime, C Piquard, A Cavanna… - Physical Review X, 2023 - APS
Recent pioneering works have set the stage for exploring anyon braiding statistics from
negative current cross-correlations along two intersecting quasiparticle beams. In such a …

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 …

Fractional charge and quantized current in the quantum spin Hall state

XL Qi, TL Hughes, SC Zhang - Nature Physics, 2008 - nature.com
Soon after the theoretical proposal of the intrinsic spin Hall effect, in doped semiconductors,
the concept of a time-reversal invariant spin Hall insulator was introduced. In the extreme …