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 …

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 …

Anyon braiding and telegraph noise in a graphene interferometer

T Werkmeister, JR Ehrets, ME Wesson… - arxiv preprint arxiv …, 2024 - arxiv.org
The search for anyons, quasiparticles with fractional charge and exotic exchange statistics,
has inspired decades of condensed matter research. Quantum Hall interferometers enable …

Strongly coupled edge states in a graphene quantum Hall interferometer

T Werkmeister, JR Ehrets, Y Ronen… - Nature …, 2024 - nature.com
Electronic interferometers using the chiral, one-dimensional (1D) edge channels of the
quantum Hall effect (QHE) can demonstrate a wealth of fundamental phenomena. The …

Emission and coherent control of levitons in graphene

A Assouline, L Pugliese, H Chakraborti, S Lee… - Science, 2023 - science.org
Flying qubits encode quantum information in propagating modes instead of stationary
discrete states. Although photonic flying qubits are available, the weak interaction between …

Extracting the scaling dimension of quantum Hall quasiparticles from current correlations

N Schiller, Y Oreg, K Snizhko - Physical Review B, 2022 - APS
Fractional quantum Hall quasiparticles are generally characterized by two quantum
numbers: electric charge Q and scaling dimension Δ. For the simplest states (such as the …

Observation of the scaling dimension of fractional quantum Hall anyons

A Veillon, C Piquard, P Glidic, Y Sato, A Aassime… - Nature, 2024 - nature.com
Unconventional quasiparticles emerging in the fractional quantum Hall regime, present the
challenge of observing their exotic properties unambiguously. Although the fractional charge …

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 …

Measuring topological entanglement entropy using Maxwell relations

S Sankar, E Sela, C Han - Physical Review Letters, 2023 - APS
Topological entanglement entropy (TEE) is a key diagnostic of topological order, allowing
one to detect the presence of Abelian or non-Abelian anyons. However, there are currently …

Spin-selective equilibration among integer quantum Hall edge channels

G Nicolí, C Adam, MP Röösli, P Märki, J Scharnetzky… - Physical Review Letters, 2022 - APS
The equilibration between quantum Hall edge modes is known to depend on the disorder
potential and the steepness of the edge. Modern samples with higher mobilities and setups …