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arXiv · 0708.2704

Edge States and Interferometers in the Pfaffian and anti-Pfaffian States

Waheb Bishara·Chetan Nayak
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Abstract

We compute the tunneling current in a double point contact geometry of a Quantum Hall system at filling fraction $ν=5/2$, as function of voltage and temeprature, in the weak tunneling regime. We quantitatively compare two possible candidates for the state at $ν=5/2$: the Moore-Read Pfaffian state, and its particle-hole conjugate, the anti-Pfaffian. We find that both possibilities exhibit the same qualitative behavior, and both have an even-odd effect that reflects their non-Abelian nature, but differ quantitatively in their voltage and temperature dependance.

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Waheb Bishara, Chetan Nayak. 2008-04-17. Edge States and Interferometers in the Pfaffian and anti-Pfaffian States. https://doi.org/10.1103/physrevb.77.165302

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