Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2005-10-14
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
13 pages, 8 figures, a few changes
Scientific paper
10.1103/PhysRevB.73.155335
We study non-equilibrium noise in the tunnelling current between the edges of a quantum Hall liquid in the Pfaffian state, which is a strong candidate for the plateau at $\nu=5/2$. To first non-vanishing order in perturbation theory (in the tunneling amplitude) we find that one can extract the value of the fractional charge of the tunnelling quasiparticles. We note however that no direct information about non-abelian statistics can be retrieved at this level. If we go to higher-order in the perturbative calculation of the non-equilibrium shot noise, we find effects due to non-Abelian statistics. They are subtle, but eventually may have an experimental signature on the frequency dependent shot noise. We suggest how multi-terminal noise measurements might yield a more dramatic signature of non-Abelian statistics and develop some of the relevant formalism.
Bena Cristina
Nayak Chetan
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