Neutral Fermion Excitations in the Moore-Read state at 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 $N_{\varphi }=2N-3$ 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 $\psi$.

4 pages, 4 figures; v2: final published version

References in corpus (6)

• Non-Abelian Anyons and Topological Quantum Computation
• Finite Layer Thickness Stabilizes the Pfaffian State for the 5/2 Fractional Quantum Hall Effect: Wavefunction Overlap and Topological Degeneracy
• Numerical Analysis of Quasiholes of the Moore-Read Wavefunction
• Paired composite fermion wavefunctions
• Spin polarization of the $\nu =5/2$ quantum Hall state
• Numerical Calculation of the Neutral Fermion Gap at $\nu =5/2$