Observation of the scaling dimension of fractional quantum Hall anyons

Abstract

Unconventional quasiparticles emerging in the fractional quantum Hall regime present the challenge of observing their exotic properties unambiguously. Although the fractional charge of quasiparticles has been demonstrated since nearly three decades, the first convincing evidence of their anyonic quantum statistics has only recently been obtained and, so far, the so-called scaling dimension that determines the quasiparticles propagation dynamics remains elusive. In particular, while the non-linearity of the tunneling quasiparticle current should reveal their scaling dimension, the measurements fail to match theory, arguably because this observable is not robust to non-universal complications. 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 quasiparticles scaling dimension and their charge, in contrast to previous charge investigations focusing on the high bias shot noise regime. A systematic analysis, repeated on multiple constrictions and experimental conditions, consistently matches the theoretical scaling dimensions for the fractional quasiparticles emerging at filling factors 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.

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Cited by in corpus (9)

• Role of scaling dimensions in generalized noises in fractional quantum Hall tunneling due to a temperature bias
• Landscapes of an out-of-equilibrium anyonic sea
• Anyon braiding on the single edge of a fractional quantum Hall state
• Probing anyon statistics on a single-edge loop in the fractional quantum Hall regime
• Photo-assisted shot noise probes multiple charge carriers in quantum Hall edges
• Identifying Anyonic Topological Order in Fractional Quantum Anomalous Hall Systems
• Universal Anyon Tunneling in a Chiral Luttinger Liquid
• Spin fractionalization at the edge of quantum Hall fluids induced by bulk quasiparticles
• Tunable anyonic permeability across ${\mathbb{Z}}_2$ spin liquid junctions