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Noise on the non-Abelian ν=5/2 Fractional Quantum Hall Edge
Jinhong Park1,2, Christian Spånslätt3,4, Yuval Gefen2,3
1Institute for Theoretical Physics, University of Cologne, Zülpicher Strasse 77, 50937 Köln, Germany.
Abstract:
The recent measurement of a half-integer thermal conductance for the ν=5/2 fractional quantum Hall state has confirmed its non-Abelian nature, making the question of the underlying topological order highly intriguing. We analyze the shot noise at the edge of the three most prominent non-Abelian candidate states. We show that the noise scaling with respect to the edge length can, in combination with the thermal conductance, be used to experimentally distinguish between the Pfaffian, anti-Pfaffian, and particle-hole-Pfaffian edge structures.
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