title: Numerical calculation of the neutral fermion gap at the ν=5/2 fractional quantum Hall state.
abstract: We present the first numerical computation of the neutral fermion gap, Δ(F), in the ν=5/2 quantum Hall state, which is analogous to the energy gap for a Bogoliubov-de Gennes quasiparticle in a superconductor. We find Δ(F)≈0.027e(2)/εℓ(0), comparable to the charge gap. We also deduce an effective Fermi velocity v(F) for neutral fermions from the low-energy spectra for odd numbers of electrons, and thereby obtain a correlation length ξ(F)=v(F)/Δ(F)≈1.3ℓ(0). We comment on implications for experiments, topological quantum information processing, and electronic mechanisms of superconductivity.
authors.affiliation: Microsoft Research, Station Q, Elings Hall, University of California, Santa Barbara, 93106, USA.
authors.forename: Parsa
authors.initials: P
authors.lastname: Bonderson
authors.forename: Adrian E
authors.initials: AE
authors.lastname: Feiguin
authors.forename: Chetan
authors.initials: C
authors.lastname: Nayak