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arXiv · 1009.4956

Neutral Fermion Excitations in the Moore-Read state at ν=5/2

Gunnar Moller·Arkadiusz Wojs·Nigel R. Cooper
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Abstract

We present evidence supporting the weakly paired Moore-Read phase in the half-filled second Landau level, focusing on some of the qualitative features of its excitations. Based on numerical studies, we show that systems with odd particle number at the flux $N_ϕ=2N-3$ can be interpreted as a neutral fermion mode of one unpaired fermion, which is gapped. The mode is found to have two distinct minima, providing a signature that could be observed by photoluminescence. In the presence of two quasiparticles the same neutral fermion excitation is shown to be gapless, confirming expectations for non-Abelian statistics of the Ising model with degenerate fusion channels 1 and $ψ$.

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Gunnar Moller, Arkadiusz Wojs, Nigel R. Cooper. 2011-07-14. Neutral Fermion Excitations in the Moore-Read state at ν=5/2. https://doi.org/10.1103/physrevlett.107.036803

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