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.

References in corpus (42)

• Non-Abelian Anyons and Topological Quantum Computation
• Shot Noise in Mesoscopic Conductors
• Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
• Direct observation of anyonic braiding statistics at the $\nu$=1/3 fractional quantum Hall state
• Fractional statistics in anyon collisions
• Towards identification of a non-abelian state: observation of a quarter of electron charge at $\nu =5/2$ quantum Hall state
• Randomness at the Edge: Theory of Quantum Hall transport at filling $\nu =2/3$
• Quantum limit of heat flow across a single electronic channel
• Impurity scattering and transport of fractional Quantum Hall edge state
• Electron shot noise beyond the second moment
• Fractionalized Wave Packets from an Artificial Tomonaga-Luttinger Liquid
• Local Charge of the nu=5/2 Fractional Quantum Hall State
• Field Theoretical Description of Quantum Hall Edge Reconstruction
• Current Correlations from a Mesoscopic Anyon Collider
• Experimental probe of topological orders and edge excitations in the second Landau level
• Measurements of quasi-particle tunneling in the nu = 5/2 fractional quantum Hall state
• The Evolution of Quasiparticle Charge in the Fractional Quantum Hall Regime
• Inter-edge strong-to-weak scattering evolution at a constriction in the fractional quantum Hall regime
• A Josephson frequency for fractionally charged anyons
• Primary thermometry triad at 6 mK in mesoscopic circuits
• Tunneling between helical edge states through extended contacts
• Nonuniversal behavior of scattering between fractional quantum Hall edges
• Interactions suppress Quasiparticle Tunneling at Hall Bar Constrictions
• Partitioning of Diluted Anyons Reveals their Braiding Statistics
• Non-Abelian Anyon Collider
• Negative delta-$T$ noise in the Fractional Quantum Hall effect
• Relevance of multiple-quasiparticle tunneling between edge states at ν=p/(2np+1)
• Conductance plateaus and shot noise in fractional quantum Hall point contacts
• Universal chiral Luttinger liquid behavior in a graphene fractional quantum Hall point contact
• Non-equilibrium noise in transport across a tunneling contact between $\nu =2/3$ fractional quantum Hall edges
• Microwave photons emitted by fractionally charged quasiparticles
• Does delta-$T$ noise probe quantum statistics?
• Fluctuation-dissipation theorem for chiral systems in non-equilibrium steady states
• Scaling dimension of quantum Hall quasiparticles from tunneling current noise measurements
• Quasiparticle Andreev scattering in the $\nu =1/3$ fractional quantum Hall regime
• Fractional Coulomb blockade for quasiparticle tunneling between edge channels
• Fluctuations in heat current and scaling dimension
• Finite width of anyons changes their braiding signature
• Symmetry-related transport on a fractional quantum Hall edge
• Finite Soliton Width Matters: Investigating Non-equilibrium Exchange Phases of Anyons
• Different fractional charges from auto- and cross-correlation noise in quantum Hall states without upstream modes
• Scaling tunnelling noise in the fractional quantum Hall effect tells about renormalization and breakdown of chiral Luttinger liquid

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