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

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

2006-02-27

arxiv.org/abs/cond-mat/0602634v1

Phys. Rev. Lett. 96, 226803 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevLett.96.226803

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 $\nu=1/q$ states and the non-abelian $\nu=5/2$ state.

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