Observation of the scaling dimension of fractional quantum Hall anyons
成果类型：
Article
署名作者：
Veillon, A.; Piquard, C.; Glidic, P.; Sato, Y.; Aassime, A.; Cavanna, A.; Jin, Y.; Gennser, U.; Anthore, A.; Pierre, F.
署名单位：
Centre National de la Recherche Scientifique (CNRS); Universite Paris Saclay; Institut Polytechnique de Paris; Ecole Polytechnique; Universite Paris Cite; Institut Polytechnique de Paris; Ecole Polytechnique; Universite Paris Cite; Centre National de la Recherche Scientifique (CNRS)
刊物名称：
Nature
ISSN/ISSBN：
0028-4387
DOI：
10.1038/s41586-024-07727-z
发表日期：
2024-08-15
页码：
517-+
关键词：
charge
transport
noise
edge
摘要：
Unconventional quasiparticles emerging in the fractional quantum Hall regime(1,2) present the challenge of observing their exotic properties unambiguously. Although the fractional charge of quasiparticles has been demonstrated for nearly three decades(3-5), the first convincing evidence of their anyonic quantum statistics has only recently been obtained(6,7) 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 complications(8-12). 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 charge(12,13), in contrast to previous charge investigations focusing on the high-bias shot-noise regime(14). A systematic analysis, repeated on several constrictions and experimental conditions, consistently matches the theoretical scaling dimensions for the fractional quasiparticles emerging at filling factors nu=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.