4.6 Article

Effects of non-Abelian statistics on two-terminal shot noise in a quantum Hall liquid in the Pfaffian state

Journal

PHYSICAL REVIEW B
Volume 73, Issue 15, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.73.155335

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We study nonequilibrium noise in the tunneling 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 nonvanishing order in perturbation theory (in the tunneling amplitude) we find that one can extract the value of the fractional charge of the tunneling 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 nonequilibrium 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 multiterminal noise measurements might yield a more dramatic signature of non-Abelian statistics and develop some of the relevant formalism.

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