title: Neutral fermion excitations in the Moore-Read state at filling factor ν = 5/2.
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.
authors.affiliation: TCM Group, Cavendish Laboratory, J. J. Thomson Avenue, Cambridge CB3 0HE, United Kingdom.
authors.forename: Gunnar
authors.initials: G
authors.lastname: Möller
authors.forename: Arkadiusz
authors.initials: A
authors.lastname: Wójs
authors.forename: Nigel R
authors.initials: NR
authors.lastname: Cooper