Observation of the scaling dimension of fractional quantum Hall anyons

A. Veillon, C. Piquard, P. Glidic, Y. Sato, A. Aassime, A. Cavanna, Y. Jin, U. Gennser, A. Anthore () and F. Pierre ()
Additional contact information
A. Veillon: Centre de Nanosciences et de Nanotechnologies
C. Piquard: Centre de Nanosciences et de Nanotechnologies
P. Glidic: Centre de Nanosciences et de Nanotechnologies
Y. Sato: Centre de Nanosciences et de Nanotechnologies
A. Aassime: Centre de Nanosciences et de Nanotechnologies
A. Cavanna: Centre de Nanosciences et de Nanotechnologies
Y. Jin: Centre de Nanosciences et de Nanotechnologies
U. Gennser: Centre de Nanosciences et de Nanotechnologies
A. Anthore: Centre de Nanosciences et de Nanotechnologies
F. Pierre: Centre de Nanosciences et de Nanotechnologies

Nature, 2024, vol. 632, issue 8025, 517-521

Abstract: Abstract Unconventional quasiparticles emerging in the fractional quantum Hall regime1,2 present the challenge of observing their exotic properties unambiguously. Although the fractional charge of quasiparticles has been demonstrated for nearly three decades3–5, the first convincing evidence of their anyonic quantum statistics has only recently been obtained6,7 and, so far, the so-called scaling dimension that determines the propagation dynamics of the quasiparticles remains elusive. In particular, although the nonlinearity of the tunnelling quasiparticle current should reveal their scaling dimension, the measurements fail to match theory, arguably because this observable is not robust to non-universal complications8–12. Here we expose the scaling dimension from the thermal noise to shot noise crossover and observe an agreement with expectations. Measurements are fitted to the predicted finite-temperature expression involving both the scaling dimension of the quasiparticles and their charge12,13, in contrast to previous charge investigations focusing on the high-bias shot-noise regime14. A systematic analysis, repeated on several constrictions and experimental conditions, consistently matches the theoretical scaling dimensions for the fractional quasiparticles emerging at filling factors ν = 1/3, 2/5 and 2/3. This establishes a central property of fractional quantum Hall anyons and demonstrates a powerful and complementary window into exotic quasiparticles.

Date: 2024
References: Add references at CitEc
Citations:

Downloads: (external link)
https://www.nature.com/articles/s41586-024-07727-z Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:nat:nature:v:632:y:2024:i:8025:d:10.1038_s41586-024-07727-z

Ordering information: This journal article can be ordered from
https://www.nature.com/

DOI: 10.1038/s41586-024-07727-z

Access Statistics for this article

Nature is currently edited by Magdalena Skipper

More articles in Nature from Nature
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().