Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2010-09-24
Phys. Rev. Lett. 107, 036803 (2011)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4 pages, 4 figures; v2: final published version
Scientific paper
10.1103/PhysRevLett.107.036803
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 $N_\phi=2N-3$ 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 $\psi$.
Cooper Nigel R.
Moller Gunnar
Wojs Arkadiusz
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