English

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

Mesoscale and Nanoscale Physics 2011-07-15 v2 Strongly Correlated Electrons

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 Nϕ=2N3N_\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 ψ\psi.

Keywords

Cite

@article{arxiv.1009.4956,
  title  = {Neutral Fermion Excitations in the Moore-Read state at \nu=5/2},
  author = {Gunnar Moller and Arkadiusz Wojs and Nigel R. Cooper},
  journal= {arXiv preprint arXiv:1009.4956},
  year   = {2011}
}

Comments

4 pages, 4 figures; v2: final published version