Different fractional charges from auto- and cross-correlation noise in quantum Hall states without upstream modes

Abstract

Fractional charges of anyons can be extracted from shot noise in two ways. One can use either the auto-correlation noise of the current in one drain or the cross-correlation noise between two drains on the two sides of the device. The former approach typically overestimates the charge. This may happen due to upstream edge modes. We propose a mechanism for the excess auto-correlation noise without upstream modes. It applies to systems with multiple co-propagating edge modes and assumes that the noise is measured at a low but non-zero frequency.

6 pages, 2 figures. Accepted for publication in Physical Review Letters

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Cited by in corpus (5)

• Observation of the scaling dimension of fractional quantum Hall anyons
• Shot noise as a diagnostic in the $\nu =2/3$ fractional quantum Hall edge zoo
• Molecular anyons in fractional quantum Hall effect
• Experimentally Motivated Order of Length Scales Affect Shot Noise
• Elevated Hall Responses as Indicators of Edge Reconstruction