Scaling dimension of quantum Hall quasiparticles from tunneling current noise measurements

Abstract

Determination of properties of quasiparticle excitations is an important task in the experimental investigation of the fractional quantum Hall effect (FQHE). We propose a model-independent method for finding the scaling dimension of FQHE quasiparticles from measurements of the electric current tunneling between two FQHE edges and its noise. In comparison to the commonly used method based on measuring the tunneling current only, the proposed method is less prone to the errors due to non-universal physics of tunnel junctions.

12 pages, 7 figures

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• AC driven strongly correlated quantum circuits and Hall edge states: Unified photo-assisted noise and revisited minimal excitations
• Anyon braiding on the single edge of a fractional quantum Hall state
• Photo-assisted current in the fractional quantum Hall effect as a probe of the quasiparticle operator scaling dimension
• Probing anyon statistics on a single-edge loop in the fractional quantum Hall regime
• Spin fractionalization at the edge of quantum Hall fluids induced by bulk quasiparticles
• Universal Anyon Tunneling in a Chiral Luttinger Liquid
• Detecting entanglement with transport measurement in weakly interacting and fluctuating systems
• Extracting the scaling dimension of quantum Hall quasiparticles from current correlations