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Switching noise as a probe of statistics in the fractional quantum Hall effect

Eytan Grosfeld·Steven H. Simon·Ady Stern
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Abstract

We propose an experiment to probe the unconventional quantum statistics of quasi-particles in fractional quantum Hall states by measurement of current noise. The geometry we consider is that of a Hall bar where two quantum point contacts introduce two interfering amplitudes for back-scattering. Thermal fluctuations of the number of quasi-particles enclosed between the two point contacts introduce current noise, which reflects the statistics of the quasi-particles. We analyze abelian $ν=1/q$ states and the non-abelian $ν=5/2$ state.

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Eytan Grosfeld, Steven H. Simon, Ady Stern. 2006-02-27. Switching noise as a probe of statistics in the fractional quantum Hall effect. https://doi.org/10.1103/physrevlett.96.226803

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